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Calculus Forum

Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.

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Do we treat x and y as independent when differentiating f with respect to y?

May 14, 2005 · Replies 14 · May 15, 2005

Replies: 14

Views: 3K

Calculating Natural Number e: History & Methods

May 14, 2005 · Replies 10 · May 15, 2005

Replies: 10

Views: 21K

Partial Derivatives Instead of Implicit

May 13, 2005 · Replies 16 · May 14, 2005

Replies: 16

Views: 5K

Is the Gradient the Same as the Slope in Linear Functions?

May 14, 2005 · Replies 5 · May 14, 2005

Replies: 5

Views: 5K

Understanding Divergence: Can You Find the Divergence of a Scalar Function?

May 13, 2005 · Replies 2 · May 14, 2005

Replies: 2

Views: 2K

If f(c) = infinity and c is in [a,b]

May 8, 2005 · Replies 6 · May 13, 2005

Replies: 6

Views: 2K

Will the Inverted Cone Water Tank Overflow?

May 6, 2005 · Replies 2 · May 13, 2005

Replies: 2

Views: 3K

Euler's relations & 'Epicycloids'

May 10, 2005 · Replies 3 · May 13, 2005

Replies: 3

Views: 3K

Proof of Convergence/Divergence Unaffected by Series Starting Point

May 12, 2005 · Replies 4 · May 13, 2005

Replies: 4

Views: 2K

Evaluating Logs & Derivatives: More Questions Answered Here

May 12, 2005 · Replies 3 · May 12, 2005

Replies: 3

Views: 2K

How is this Differentiation Trick Manipulated in Calculus?

May 12, 2005 · Replies 3 · May 12, 2005

Replies: 3

Views: 3K

Prepare for Calc 2 Final with Practice Exam - Study Guide and Tips Included

May 12, 2005 · Replies 2 · May 12, 2005

Replies: 2

Views: 2K

How Do You Differentiate sin, cos, and tan Functions?

May 11, 2005 · Replies 3 · May 12, 2005

Replies: 3

Views: 2K

Please help A question about partial differentiation

May 12, 2005 · Replies 4 · May 12, 2005

Replies: 4

Views: 2K

How to show lim sin(1/x) DNE as x->0

May 5, 2005 · Replies 2 · May 12, 2005

Replies: 2

Views: 6K

What is the Integral of dx/ (1+cos ^2(x)) Using Different Approaches?

May 12, 2005 · Replies 2 · May 12, 2005

Replies: 2

Views: 3K

Help Deriving and Solving a Function

May 11, 2005 · Replies 7 · May 12, 2005

Replies: 7

Views: 2K

Is x = -i a Solution for This Complex Equation?

May 12, 2005 · Replies 3 · May 12, 2005

Replies: 3

Views: 5K

How Do You Solve 10log1019 in Logarithms?

May 11, 2005 · Replies 4 · May 12, 2005

Replies: 4

Views: 2K

Taylor series expansion question

May 4, 2005 · Replies 2 · May 11, 2005

Replies: 2

Views: 5K

What is the Normal Vector to the Surface S at the Points of Intersection?

May 11, 2005 · Replies 3 · May 11, 2005

Replies: 3

Views: 3K

NEED HELP with double derivative(long)

May 11, 2005 · Replies 11 · May 11, 2005

Replies: 11

Views: 3K

What power do you raise 3 to to get 9

May 11, 2005 · Replies 8 · May 11, 2005

Replies: 8

Views: 2K

What is the remainder when x^X^x^x... is divided by x-700^(1/700)?

May 10, 2005 · Replies 2 · May 11, 2005

Replies: 2

Views: 3K

What is the Importance of u-Substitution in Solving Integrals?

May 9, 2005 · Replies 9 · May 11, 2005

Replies: 9

Views: 2K

Solving Gamma Function Integral: e^(4u)*e^(-e^u)du

May 10, 2005 · Replies 7 · May 11, 2005

Replies: 7

Views: 3K

Is Intuition Enough to Determine Asymptotes in Calculus?

May 10, 2005 · Replies 2 · May 10, 2005

Replies: 2

Views: 4K

The completeness of Hilbert Space

May 10, 2005 · Replies 7 · May 10, 2005

Replies: 7

Views: 5K

Testing convergence of a series

May 8, 2005 · Replies 13 · May 10, 2005

Replies: 13

Views: 6K

Finding Tangent Slope to Parabola Using Theorem 2 | Limit Help

May 10, 2005 · Replies 4 · May 10, 2005

Replies: 4

Views: 2K

Deriving the diagonal with limens

May 8, 2005 · Replies 5 · May 10, 2005

Replies: 5

Views: 2K

How Do I Find the Derivative of a Complex Function in Calculus?

May 9, 2005 · Replies 5 · May 10, 2005

Replies: 5

Views: 2K

Supplement to spivak's calc on manifolds

May 9, 2005 · Replies 4 · May 10, 2005

Replies: 4

Views: 4K

Elements of multiple riemann integration

May 7, 2005 · Replies 6 · May 10, 2005

Replies: 6

Views: 2K

How can I find the antiderivative of dx/dv^2 in my physics book?

May 9, 2005 · Replies 8 · May 10, 2005

Replies: 8

Views: 24K

Can You Differentiate x^x^x^x^x^x...?

May 6, 2005 · Replies 11 · May 10, 2005

Replies: 11

Views: 2K

What is the optimal position for a rugby kicker to convert a try?

May 10, 2005 · Replies 1 · May 10, 2005

Replies: 1

Views: 2K

Local Maximum of a Differentiable Function Using the Mean Value Theorem

May 4, 2005 · Replies 6 · May 10, 2005

Replies: 6

Views: 2K

How can i differentiate this ?

May 4, 2005 · Replies 4 · May 9, 2005

Replies: 4

Views: 2K

How can calculus help maximize profit for Goodfood catering company?

May 9, 2005 · Replies 3 · May 9, 2005

Replies: 3

Views: 2K

Why Do the Steps to Maximize and Minimize a Quantity Align?

May 9, 2005 · Replies 2 · May 9, 2005

Replies: 2

Views: 2K

Equivilant norms of a Vector Space

May 1, 2005 · Replies 2 · May 9, 2005

Replies: 2

Views: 4K

Using Taylor's Theorem to approximate

May 9, 2005 · Replies 4 · May 9, 2005

Replies: 4

Views: 8K

Solving Integral Problems: Limits and Double Integrals

May 6, 2005 · Replies 23 · May 9, 2005

Replies: 23

Views: 3K

Max/Min problem I'm fundamentally flawed in my understanding I think

May 8, 2005 · Replies 4 · May 8, 2005

Replies: 4

Views: 2K

Preform the operations and simplifying

May 8, 2005 · Replies 3 · May 8, 2005

Replies: 3

Views: 2K

Calculus DVD's would you recommend these?

May 1, 2005 · Replies 2 · May 8, 2005

Replies: 2

Views: 3K

Determine the combined force magnitude

May 8, 2005 · Replies 6 · May 8, 2005

Replies: 6

Views: 2K

Prove that the sequence converges and find its limit

May 6, 2005 · Replies 8 · May 7, 2005

Replies: 8

Views: 3K

How Do You Find a Matrix A Such That Y(t) Spirals Toward a Plane?

Apr 29, 2005 · Replies 2 · May 7, 2005

Replies: 2

Views: 3K

Solving Integral: $\int_{1}^{9} \frac{3x-2}{\sqrt{x}}dx = 44$

May 7, 2005 · Replies 2 · May 7, 2005

Replies: 2

Views: 2K

Natural Growth and Logistic Models

May 4, 2005 · Replies 6 · May 6, 2005

Replies: 6

Views: 6K

Derivative of a symetrical function

May 5, 2005 · Replies 7 · May 6, 2005

Replies: 7

Views: 2K

How to solve an Improper Integral of Type 2?

May 5, 2005 · Replies 5 · May 6, 2005

Replies: 5

Views: 6K

Possible Value of n When 2005th Digit of n is 0

Apr 27, 2005 · Replies 7 · May 6, 2005

Replies: 7

Views: 8K

Understanding Breaking Down h'(x) and |x|+|x+1|

May 5, 2005 · Replies 6 · May 6, 2005

Replies: 6

Views: 2K

Can the Volume of a Sphere be Calculated by Integrating the Area of Circles?

May 3, 2005 · Replies 15 · May 5, 2005

Replies: 15

Views: 23K

Radians vs Degrees: Why Calculus Uses Radians

Apr 28, 2005 · Replies 2 · May 5, 2005

Replies: 2

Views: 9K

Understanding Vector Directional Derivatives

May 4, 2005 · Replies 5 · May 5, 2005

Replies: 5

Views: 3K

Solving 2 Tricky Math Problems: Bounded Area & Convergence of Sequence

May 4, 2005 · Replies 12 · May 5, 2005

Replies: 12

Views: 2K

What is the interval of convergence for this power series?

May 4, 2005 · Replies 3 · May 4, 2005

Replies: 3

Views: 2K

Sphere Boundaries: Does a Sphere Have Any?

May 3, 2005 · Replies 3 · May 4, 2005

Replies: 3

Views: 12K

How can I solve this tricky exponent integral problem using proper methods?

May 2, 2005 · Replies 4 · May 4, 2005

Replies: 4

Views: 6K

Calculating Supremum of sin n for Positive Integers

Apr 27, 2005 · Replies 2 · May 3, 2005

Replies: 2

Views: 10K

How to Integrate (x) sq. root of ((x^2) - 1)?

May 2, 2005 · Replies 8 · May 3, 2005

Replies: 8

Views: 2K

Where Can I Find Resources to Study Peano Curves?

Apr 26, 2005 · Replies 2 · May 3, 2005

Replies: 2

Views: 2K

Derivative of Integral of Continuous Function f(x)

May 2, 2005 · Replies 2 · May 2, 2005

Replies: 2

Views: 3K

How to Prove the Nested Interval Theorem for R^n?

May 2, 2005 · Replies 2 · May 2, 2005

Replies: 2

Views: 4K

Primitive of Arctan x: Ideas & Solutions

May 2, 2005 · Replies 2 · May 2, 2005

Replies: 2

Views: 8K

How Do You Solve the Integral of e^(2x)sin[3x] Using Integration by Parts?

Apr 20, 2005 · Replies 16 · May 2, 2005

Replies: 16

Views: 18K

What is the intuitive meaning of the Mean Value Theorem?

May 1, 2005 · Replies 4 · May 2, 2005

Replies: 4

Views: 3K

Find Limit of x Approaching 4 - Problem Solved

May 1, 2005 · Replies 8 · May 2, 2005

Replies: 8

Views: 3K

Gradient vector over an area of a surface

May 1, 2005 · Replies 3 · May 2, 2005

Replies: 3

Views: 6K

Simplify Limit Problem for Function f = 1/(sqrt(1+x^2)) | K. Civilian

May 2, 2005 · Replies 5 · May 2, 2005

Replies: 5

Views: 2K

How Do You Integrate x/(sqrt[1+x^2])?

May 2, 2005 · Replies 4 · May 2, 2005

Replies: 4

Views: 2K

Double Integral of e^(x^2) Using Green's Theorem

Apr 30, 2005 · Replies 4 · May 1, 2005

Replies: 4

Views: 3K

How Do You Convert These Polar Equations to Rectangular Form?

May 1, 2005 · Replies 5 · May 1, 2005

Replies: 5

Views: 9K

Proving the Limit of a Parabola Delta Function

Apr 27, 2005 · Replies 30 · May 1, 2005

2

Replies: 30

Views: 5K

Riemann sum / difference quotient

May 1, 2005 · Replies 4 · May 1, 2005

Replies: 4

Views: 4K

Solving Difficult Derivatives: Need Help!

May 1, 2005 · Replies 11 · May 1, 2005

Replies: 11

Views: 4K

Calculating Work Along a Helix Using Line Integrals

Apr 29, 2005 · Replies 9 · Apr 30, 2005

Replies: 9

Views: 5K

Range of Validity for Maclaurin Expansion of ln(1-x)

Apr 23, 2005 · Replies 2 · Apr 30, 2005

Replies: 2

Views: 9K

Understanding Lagrange Error Analysis

Apr 28, 2005 · Replies 3 · Apr 30, 2005

Replies: 3

Views: 23K

Use identities to Prove linearly idenpendent

Apr 28, 2005 · Replies 3 · Apr 30, 2005

Replies: 3

Views: 2K

Calculating Flux Integral for Vector Field F and Normal Vector n | Help Needed

Apr 29, 2005 · Replies 2 · Apr 30, 2005

Replies: 2

Views: 2K

Integrating the Exponential Function: Techniques and Resources

Apr 29, 2005 · Replies 7 · Apr 30, 2005

Replies: 7

Views: 6K

Last line integral problem (hopefully)

Apr 30, 2005 · Replies 5 · Apr 30, 2005

Replies: 5

Views: 2K

Use the cylindrical coordinates to find the volume

Apr 29, 2005 · Replies 6 · Apr 30, 2005

Replies: 6

Views: 2K

Max Area of Rectangle on f(x)=-2/3x+4

Apr 26, 2005 · Replies 8 · Apr 30, 2005

Replies: 8

Views: 2K

Line Integrals: Compute 4xz + 2y dx

Apr 29, 2005 · Replies 4 · Apr 29, 2005

Replies: 4

Views: 2K

Approximating integral of x^4 e^-x

Apr 28, 2005 · Replies 2 · Apr 29, 2005

Replies: 2

Views: 16K

Math Notation: P Approaching Zero from the Negative Side

Apr 29, 2005 · Replies 4 · Apr 29, 2005

Replies: 4

Views: 2K

Having a hard time with a derivative

Apr 27, 2005 · Replies 6 · Apr 29, 2005

Replies: 6

Views: 2K

Integrating 1/(u⁴+1), 1/(u⁵+1), and 1/(u⁶+1)

Apr 29, 2005 · Replies 12 · Apr 29, 2005

Replies: 12

Views: 3K

Integrating cos(u^2): A Calc One Challenge

Apr 28, 2005 · Replies 23 · Apr 29, 2005

Replies: 23

Views: 4K

Complex Contour Integral: Does it Equal 0?

Apr 24, 2005 · Replies 24 · Apr 28, 2005

Replies: 24

Views: 5K

Solve the Math Puzzle: Help a High School Grad Integrate x!

Apr 27, 2005 · Replies 16 · Apr 28, 2005

Replies: 16

Views: 3K

Graph the learning curve L(x) = (x - 2)^3 +8

Apr 28, 2005 · Replies 3 · Apr 28, 2005

Replies: 3

Views: 2K

Diff Calculus: Learn Differential & Integral Calc

Apr 25, 2005 · Replies 7 · Apr 27, 2005

Replies: 7

Views: 2K

Triple-integrating a region with no volume

Apr 25, 2005 · Replies 21 · Apr 27, 2005

Replies: 21

Views: 3K

Calculus

Welcome to the Calculus forum!

Calculus is a branch of mathematics that focuses on the study of continuous change and motion.

It comprises two primary branches: differential calculus, which examines rates of change and slopes of curves, and integral calculus, which deals with accumulation and the calculation of areas under curves. Developed independently by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century, calculus has become a fundamental tool in various scientific and engineering disciplines.

It provides a powerful framework for analyzing and modeling dynamic processes, such as motion, growth, and decay, and forms the basis for understanding concepts like derivatives and integrals, essential for advanced mathematical and scientific studies.

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