Mathematics (Technical)

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Basic Algebra

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Calculus

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Differential Equations

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Topology

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Analysis

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Abstract Algebra

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Linear Algebra

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Differential Geometry

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Set Theory & Logic

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Probability & Stats

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Misc Math

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Biochemical Engineering (NPTEL):- Lecture 13: Immobilized Enzymes Part 1

Biochemical Engineering (NPTEL):- Lecture 13: Immobilized Enzymes Part 1

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4. Describing  Bivariate Data: Computing Pearson's r

4. Describing Bivariate Data: Computing Pearson's r

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  • Date added Jun 5, 2018
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Concrete Technology by Dr. B. Bhattacharjee (NPTEL):- Frost Action and Rebar Corrosion

Concrete Technology by Dr. B. Bhattacharjee (NPTEL):- Frost Action and Rebar Corrosion

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Ex 3: Mean Value Theorem – Rational Function

Ex 3: Mean Value Theorem – Rational Function

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  • Date added May 25, 2018
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Ex 2: Mean Value Theorem – Cubic Function

Ex 2: Mean Value Theorem – Cubic Function

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Ex 1:   Mean Value Theorem – Quadratic Function

Ex 1: Mean Value Theorem – Quadratic Function

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Proof of the Mean Value Theorem

Proof of the Mean Value Theorem

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The Mean Value Theorem

The Mean Value Theorem

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Ex 2:   Rolle's Theorem with Product Rule

Ex 2: Rolle's Theorem with Product Rule

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Ex 1:   Rolle's Theorem

Ex 1: Rolle's Theorem

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Proof of Rolle's Theorem

Proof of Rolle's Theorem

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Rolle’s Theorem

Rolle’s Theorem

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Ex: Use Differentials to Approximate Possible Error for the Surface Area of a Sphere

Ex: Use Differentials to Approximate Possible Error for the Surface Area of a Sphere

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  • Date added May 25, 2018
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Ex: Find dy Given a Tangent Function - Requires the Chain Rule

Ex: Find dy Given a Tangent Function - Requires the Chain Rule

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  • Date added May 25, 2018
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Ex:   Differentials:   Compare delta y and dy

Ex: Differentials: Compare delta y and dy

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Ex:   Using Differentials to Approximate the Value of a Cube Root.

Ex: Using Differentials to Approximate the Value of a Cube Root.

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Ex:   Differentials to Approximate Propagated Error and Relative Error

Ex: Differentials to Approximate Propagated Error and Relative Error

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  • Date added May 25, 2018
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Ex 2:   Differentials:   Determine dy given x and dx

Ex 2: Differentials: Determine dy given x and dx

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Ex 1:   Determine Differential y (dy)

Ex 1: Determine Differential y (dy)

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Differentials

Differentials

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Ex: Use a Tangent Line to Approximate a Cube Root Function Value – Chain Rule

Ex: Use a Tangent Line to Approximate a Cube Root Function Value – Chain Rule

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Ex:   Use a Tangent Line to Approximate a Quotient

Ex: Use a Tangent Line to Approximate a Quotient

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Ex: Use a Tangent Line to Approximate a Square Root Value

Ex: Use a Tangent Line to Approximate a Square Root Value

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  • Date added May 24, 2018
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Tangent Line Approximation Given a Function and Derivative Function Value

Tangent Line Approximation Given a Function and Derivative Function Value

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Introduction to Differentials

Introduction to Differentials

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Ex: Determine Increasing/Decreasing Intervals and Absolute Extrema (Product Rule)

Ex: Determine Increasing/Decreasing Intervals and Absolute Extrema (Product Rule)

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  • Date added May 24, 2018
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Ex: Absolute Extrema of a Trigonometric Function on a Closed Interval

Ex: Absolute Extrema of a Trigonometric Function on a Closed Interval

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Ex: Absolute Extrema of a Quadratic Function on a Closed Interval

Ex: Absolute Extrema of a Quadratic Function on a Closed Interval

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Ex 2:   Absolute Extrema on an Open Interval

Ex 2: Absolute Extrema on an Open Interval

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Ex 1:   Absolute Extrema on an Closed Interval

Ex 1: Absolute Extrema on an Closed Interval

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Absolute Extrema of Transcendental Functions

Absolute Extrema of Transcendental Functions

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Absolute Extrema

Absolute Extrema

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The graphs of f(x), f’(x), f’’(x)

The graphs of f(x), f’(x), f’’(x)

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  • Date added May 24, 2018
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Ex: Given the Cost and Demand Functions, Maximize Profit

Ex: Given the Cost and Demand Functions, Maximize Profit

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  • Date added May 24, 2018
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Ex: Find a Demand Function and a Rebate Amount to Maximize Revenue and Profit

Ex: Find a Demand Function and a Rebate Amount to Maximize Revenue and Profit

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  • Date added May 24, 2018
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Ex 2: Cost Function Applications - Marginal Cost, Average Cost, Minimum Average Cost

Ex 2: Cost Function Applications - Marginal Cost, Average Cost, Minimum Average Cost

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Ex 1: Cost Function Applications - Marginal Cost, Average Cost, Minimum Average Cost

Ex 1: Cost Function Applications - Marginal Cost, Average Cost, Minimum Average Cost

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  • Date added May 24, 2018
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Ex: Find the Average Cost Function and Minimize the Average Cost

Ex: Find the Average Cost Function and Minimize the Average Cost

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  • Date added May 24, 2018
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Optimization - Maximize the Area of a Norman Window

Optimization - Maximize the Area of a Norman Window

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  • Date added May 24, 2018
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Ex:  Derivative Application - Minimize the Cost of a Fenced Area - YouTube

Ex: Derivative Application - Minimize the Cost of a Fenced Area - YouTube

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  • Date added May 24, 2018
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Ex:  Derivative Application:  Maximize Area - YouTube

Ex: Derivative Application: Maximize Area - YouTube

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  • Date added May 24, 2018
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Ex:  Derivative Application - Maximize Profit - YouTube

Ex: Derivative Application - Maximize Profit - YouTube

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  • Date added May 24, 2018
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Ex: Optimization - Minimize the Cost to Make a Can with a Fixed Volume

Ex: Optimization - Minimize the Cost to Make a Can with a Fixed Volume

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  • Date added May 24, 2018
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Ex: Optimization - Minimize the Surface Area of a Box with a Given Volume

Ex: Optimization - Minimize the Surface Area of a Box with a Given Volume

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  • Date added May 24, 2018
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Ex: Optimization - Maximum Area of a Rectangle Inscribed by a Parabola

Ex: Optimization - Maximum Area of a Rectangle Inscribed by a Parabola

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  • Date added May 24, 2018
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Ex: Derivative Application - Maximize Profit

Ex: Derivative Application - Maximize Profit

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Ex: Derivative Application - Minimize Cost

Ex: Derivative Application - Minimize Cost

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Ex: Optimization - Maximized a Crop Yield (Calculus Methods)

Ex: Optimization - Maximized a Crop Yield (Calculus Methods)

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  • Date added May 24, 2018
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Ex 3:   Max / Min Application Problem - Derivative Application

Ex 3: Max / Min Application Problem - Derivative Application

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Ex 2:   Max / Min Application Problem - Derivative Application

Ex 2: Max / Min Application Problem - Derivative Application

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Ex 1:   Max / Min Application Problem - Derivative Application

Ex 1: Max / Min Application Problem - Derivative Application

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  • Date added May 24, 2018
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Ex: Determine the Sign of f(x), f'(x), and f''(x) Given a Point on a Graph

Ex: Determine the Sign of f(x), f'(x), and f''(x) Given a Point on a Graph

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  • Date added May 24, 2018
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Ex 2:   Sketch a Function Given Information about Concavity

Ex 2: Sketch a Function Given Information about Concavity

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Ex 1:   Sketch a Function Given Information about Concavity

Ex 1: Sketch a Function Given Information about Concavity

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Example:   Increasing/Decreasing / Concavity / Relative Extrema / Points of Inflection

Example: Increasing/Decreasing / Concavity / Relative Extrema / Points of Inflection

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The Second Derivative Test using Transcendental Functions

The Second Derivative Test using Transcendental Functions

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  • Date added May 24, 2018
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Ex: Critical Numbers / Relative Extrema / Second Derivative Test

Ex: Critical Numbers / Relative Extrema / Second Derivative Test

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Ex 2:   The Second Derivative Test to Determine Relative Extrema

Ex 2: The Second Derivative Test to Determine Relative Extrema

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Ex 1:   The Second Derivative Test to Determine Relative Extrema

Ex 1: The Second Derivative Test to Determine Relative Extrema

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  • Date added May 24, 2018
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The Second Derivative Test to Determine Relative Extrema

The Second Derivative Test to Determine Relative Extrema

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Ex: Determine Increasing / Decreasing / Concavity by Analyzing the Graph of a Function

Ex: Determine Increasing / Decreasing / Concavity by Analyzing the Graph of a Function

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Ex: Determine Concavity and Points of Inflection - f(x)=x^2*e^(4x)

Ex: Determine Concavity and Points of Inflection - f(x)=x^2*e^(4x)

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  • Date added May 24, 2018
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Ex: Determine Increasing/Decreasing/Concavity Intervals of a Rational Function

Ex: Determine Increasing/Decreasing/Concavity Intervals of a Rational Function

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  • Date added May 24, 2018
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Ex: Determine Increasing/Decreasing/Concavity Intervals of a Function

Ex: Determine Increasing/Decreasing/Concavity Intervals of a Function

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  • Date added May 24, 2018
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Ex: Determine Concavity and Absolute Extrema (Product and Quotient Rule)

Ex: Determine Concavity and Absolute Extrema (Product and Quotient Rule)

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Ex: Concavity of a Degree 5 Polynomial - Irrational Critical Numbers

Ex: Concavity of a Degree 5 Polynomial - Irrational Critical Numbers

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  • Date added May 24, 2018
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Ex:   Determine Concavity and Points of Inflection

Ex: Determine Concavity and Points of Inflection

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Ex: Given the First Derivative, Describe the Function (Incr/Decr/CCU/CCD)

Ex: Given the First Derivative, Describe the Function (Incr/Decr/CCU/CCD)

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Concavity of Transcendental Functions</a> (Additional Examples)

Concavity of Transcendental Functions</a> (Additional Examples)

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  • Date added May 24, 2018
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Determining the Concavity of a Function

Determining the Concavity of a Function

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Ex:   Marginals and Marginal Average Cost

Ex: Marginals and Marginal Average Cost

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Ex:   Marginals and Marginal Profit

Ex: Marginals and Marginal Profit

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Marginals

Marginals

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Exponential Decay Models: Part 2

Exponential Decay Models: Part 2

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Exponential Decay Models: Part 1

Exponential Decay Models: Part 1

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Exponential Growth Models Part 2

Exponential Growth Models Part 2

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Exponential Growth Models Part 1

Exponential Growth Models Part 1

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Determine Elasticity of Demand and Unit Elasticity Price (Linear Demand)

Determine Elasticity of Demand and Unit Elasticity Price (Linear Demand)

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  • Date added May 24, 2018
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Ex: Elasticity of Demand - Quadratic Demand Function

Ex: Elasticity of Demand - Quadratic Demand Function

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  • Date added May 24, 2018
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Ex:   Elasticity of Demand Application Problem

Ex: Elasticity of Demand Application Problem

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Elasticity of Demand: Part 2

Elasticity of Demand: Part 2

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  • Date added May 24, 2018
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Elasticity of Demand: Part 1

Elasticity of Demand: Part 1

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  • Date added May 24, 2018
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Ex: Profit Function Application - Maximize Profit

Ex: Profit Function Application - Maximize Profit

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  • Date added May 24, 2018
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Ex: Profit Function Applications – Average Profit, Marginal Profit, Max Profit

Ex: Profit Function Applications – Average Profit, Marginal Profit, Max Profit

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  • Date added May 24, 2018
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Ex: Optimization - Maximized a Crop Yield (Calculus Methods)

Ex: Optimization - Maximized a Crop Yield (Calculus Methods)

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  • Date added May 24, 2018
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Finding Max and Mins Applications: Part 2

Finding Max and Mins Applications: Part 2

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  • Date added May 24, 2018
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Finding Max and Mins Applications: Part 1

Finding Max and Mins Applications: Part 1

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  • Date added May 24, 2018
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Ex 2:   Sketch a Graph Given Information About a Function's First Derivative

Ex 2: Sketch a Graph Given Information About a Function's First Derivative

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Ex 1:   Sketch a Graph Given Information About a Function's First Derivative

Ex 1: Sketch a Graph Given Information About a Function's First Derivative

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  • Date added May 24, 2018
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Ex 1:   Determine Relative Extrema Using The First Derivative Test

Ex 1: Determine Relative Extrema Using The First Derivative Test

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  • Date added May 24, 2018
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Determining Relative Extrema on the Graphing Calculator

Determining Relative Extrema on the Graphing Calculator

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Ex: Critical Numbers / Relative Extrema / First Derivative Test

Ex: Critical Numbers / Relative Extrema / First Derivative Test

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  • Date added May 24, 2018
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The First Derivative Test to Find Relative Extrema

The First Derivative Test to Find Relative Extrema

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Ex 2: Interpret the Graph of the First Derivative Function - Degree 3

Ex 2: Interpret the Graph of the First Derivative Function - Degree 3

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  • Date added May 24, 2018
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