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Ex 1: Determine Relative Extrema Using The First Derivative Test
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Determining Relative Extrema on the Graphing Calculator
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Ex: Critical Numbers / Relative Extrema / First Derivative Test
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The First Derivative Test to Find Relative Extrema
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Ex 2: Interpret the Graph of the First Derivative Function - Degree 3
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Ex 1: Interpret the Graph of the First Derivative Function – Degree 2
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Ex 2: First Derivative Concept - Given Information about the First Derivative, Describe the Function
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Ex 1: First Derivative Concept - Given Information about the First Derivative, Describe the Function
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Determine where a trig function is increasing/decreasing and relative extrema
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Ex: Find the Intervals Incr/Decr and Relative Extrema (Quad Formula Used)
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Ex: Find the Intervals Incr/Decr and Relative Extrema Using the First Derivative
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Ex: Determine Increasing/Decreasing Intervals and Absolute Extrema (Product Rule)
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Ex: Determine Increasing/Decreasing Intervals and Relative Extrema (Product Rule with Exponential)
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Ex: Determine Increasing/Decreasing Intervals and Relative Extrema
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Ex 2: Determine the Intervals for Which a Function is Increasing and Decreasing
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Ex 1: Determine the Intervals for Which a Function is Increasing and Decreasing
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Ex: Determine Increasing or Decreasing Intervals of a Function
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Increasing and Decreasing Functions
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Increasing and Decreasing Functions
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Ex: Find the Critical Numbers of a Cubic Function
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Ex: Find the First and Second Derivative Functions and Function Value (Exponential and Polynomial)
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Ex: Determine the Velocity Function and Acceleration Function from the Position Function
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Ex 2: First and Second Derivatives Using the Chain Rule - f(x)=ln(cos(x))
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Ex 1: First and Second Derivatives Using the Chain Rule - f(x)=tan(2x)
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Ex: Higher Order Derivatives Using the Product Rule
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Ex: Find Higher Order Derivatives of Sine
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Ex 6: Determine Higher Order Derivatives Requiring the Quotient Rule
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Ex 5: Determine Higher Order Derivatives Requiring the Product Rule and Chain Rule
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Ex 4: Determine Higher Order Derivatives Requiring the Chain Rule
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Ex 3: Determine Higher Order Derivatives
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Ex 2: Determine Higher Order Derivatives
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Ex 1: Determine Higher Order Derivatives
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Higher Order Derivatives of Transcendental Functions
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Higher-Order Derivatives: Part 2
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Higher-Order Derivatives: Part 1
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Ex 3: Derivatives of Inverse Trig Functions
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Ex 2: Derivatives of Inverse Trig Functions
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Ex 1: Derivatives of Inverse Trig Functions
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The Derivatives of the Inverse Trigonometric Functions
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Ex: Find an Inverse Derivative Function Value (Square Root)
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Ex: Find an Inverse Derivative Function Value (Sine)
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Ex: Find an Inverse Derivative Function Value (Cubic + Rational)
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Ex: Find an Inverse Derivative Function Value (Cubic)
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Ex 3: Logarithmic Differentiation and Slope of a Tangent Line
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Ex 2: Logarithmic Differentiation and Slope of a Tangent Line
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Ex 1: Logarithmic Differentiation
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Ex: Logarithmic Differentiation
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Logarithmic Differentiation
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Ex 2: Derivative of the Log Function using the Product Rule
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Ex 1: Derivative of the Log Function, not base e
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Derivatives of a^x and logax
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Ex 9: The derivative of f(x) = ln(ln(5x))
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Ex 8: Derivatives of the Natural Log Function using Log Properties
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Ex 7: Derivatives of the Natural Log Function using Log Properties
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Ex 6: Derivatives of the Natural Log Function using Log Properties
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Ex 5: Derivatives of the Natural Log Function with the Product Rule
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Ex 4: Derivatives of the Natural Log Function with the Chain Rule
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Ex 3: Derivatives of the Natural Log Function with the Chain Rule
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Ex 2: Derivatives of the Natural Log Function with the Chain Rule
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Ex 1: Derivatives of the Natural Log Function
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Derivatives of Logarithmic Functions
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Logarithms
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Ex 3: Derivative of an Inverse Hyperbolic Function with the Chain Rule
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Ex 2: Derivative of an Inverse Hyperbolic Function with the Chain Rule
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Ex 1: Derivative of an Inverse Hyperbolic Function with the Chain Rule
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Ex 5: Derivatives of Hyperbolic Functions with the Chain Rule Twice
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Ex 4: Derivative of a Hyperbolic Function Using the Quotient Rule
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Ex 3: Derivative of a Hyperbolic Function Using the Product Rule
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Ex 2: Derivatives of Hyperbolic Functions with the Chain Rule
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Ex 1: Derivative of a Hyperbolic Function
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Prove a Property of Hyperbolic Functions: (sinh(x))^2=(-1+cosh(2x))/2
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Prove a Property of Hyperbolic Functions: sinh(x+y)=sinh(x)cosh(y)+cosh(x)sinh(y)
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Prove a Property of Hyperbolic Functions: (tanh(x))^2 + (sech(x))^2 = 1
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Prove a Property of Hyperbolic Functions: (sinh(x))^2 - (cosh(x))^2 = 1
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Introduction to Hyperbolic Functions
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Ex: Application of the Derivative of an Exponential Function (Rate of Depreciation)
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Ex: Find the Equation of a Tangent Line at a Given Point – Linear and Exponential Function
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Ex: Derivatives Using the Chain Rule Involving an Exponential Function with Base e
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Ex 4: Derivatives of Exponential Functions with the Quotient Rule
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Ex 3: Derivatives of Exponential Functions with the Product Rule
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Ex 2: Derivatives of Exponential Functions With Chain Rule
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Ex 1: Derivatives of Exponential Functions
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Ex 5B: Derivatives Involving the Exponential Function with Base e and the Quotient Rule
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Ex 5A: Derivatives Involving the Exponential Function with Base e and the Quotient Rule
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Ex 4: Derivatives Involving the Exponential Function with Base e and the Quotient Rule
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Ex 3: Derivatives Involving the Exponential Function with Base e and the Power Rule
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Ex 2: Derivatives Involving the Exponential Function with Base e and the Product Rule
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Ex 1: Derivatives Involving the Exponential Function with Base e
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Derivatives of Exponential Functions with base e
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Ex 3: Derivatives Involving the Exponential Function with Base e and the Power Rule
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Ex 2: Derivatives Involving the Exponential Function with Base e and the Product Rule
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Ex 1: Derivatives Involving the Exponential Function with Base e
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Derivatives of Exponential Functions with base e
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Graphing Exponential Functions
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Ex: Derivative Using the Chain Rule Twice - Exponential and Trig Functions
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Ex: Derivative Using the Chain Rule Twice - Trig Function Raised to Power
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Ex: Determine a Derivative Using the Chain Rule and Quotient Rule
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Ex 3: Determine a Derivative Using the Chain Rule and Product Rule With a Trig Function
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Ex 2: Determine a Derivative Using the Chain Rule and Product Rule Involving a Radical
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Ex 1: Determine a Derivative Using the Chain Rule and Product Rule
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