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.

Threads

Does expression equal 0 when value approaches 0?

  • tmt1
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2

Are There Global Extrema for These Functions?

  • mathmari
  • · Replies 10 ·
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10

Undergrad Evaluate using Leibniz rule and/or chain rule

  • Alex_ra
  • · Replies 4 ·
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4

Graduate A problem about branch cut in contour integral

  • goodphy
  • · Replies 3 ·
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3

Undergrad Applying Chain Rule to a function of two variables

  • Dilemma
  • · Replies 3 ·
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3

205.o6.03 Find the body's displacement and average velocity

  • karush
  • · Replies 8 ·
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8

Undergrad Can the Complex Integral Problem Be Solved Using Residue Theorem?

  • Jenny short
  • · Replies 2 ·
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2

Undergrad Problem with this estimation lemma example

  • Jenny short
  • · Replies 5 ·
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5

206.r2.11find the power series representation

  • karush
  • · Replies 3 ·
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3
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4

What is the growth rate of a differentiable function?

  • mathmari
  • · Replies 7 ·
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7

Undergrad How to find outer limit of integration for this triple integ

  • egio
  • · Replies 4 ·
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4

Undergrad Vector Calculus: What do these terms mean?

  • Sho Kano
  • · Replies 11 ·
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11

Evaluating $\sum_{n=1}^\infty \frac{1}{2nx^{2n}}$

  • Greg
  • · Replies 7 ·
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7

Graduate What does a Sobolev norm mean in abstract terms?

  • emmasaunders12
  • · Replies 9 ·
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9

Graduate How to Solve an Integral Equation Involving Exponential Functions?

  • Sunny29
  • · Replies 18 ·
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18

Why does x approach 0 faster than ln(x) approaches infinity?

  • tmt1
  • · Replies 1 ·
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1

High School What is the Inverse of a Differential Operator?

  • laguna
  • · Replies 4 ·
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4

Determining if integral converges or diverges

  • tmt1
  • · Replies 3 ·
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3

Using limits to solve an arithmetic problem?

  • tmt1
  • · Replies 4 ·
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4

Undergrad Angle at which cardioid hits the x-axis

  • Any Help
  • · Replies 2 ·
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2

W.8.7.23 int trig u substitution

  • karush
  • · Replies 3 ·
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3

Find max(abs(a)+abs(b)+abs(c)), and a possible f(x)

  • Albert1
  • · Replies 3 ·
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3

Finding Critical Point: x for y=3e^(-2x)−5e^(-4x)

  • Recce
  • · Replies 1 ·
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1

High School How come this natural logarithm approximation works?

  • Andreas C
  • · Replies 14 ·
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14

Undergrad Spivak's Definition of Integrals vs Stewart's

  • Simpl0S
  • · Replies 9 ·
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9

Partial fraction decomposition of (3x²+x-18)/(x³+9x)

  • karush
  • · Replies 8 ·
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8

Graduate Frechet v Gateaux Derivative and the calculus of variations

  • observer1
  • · Replies 7 ·
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7

Undergrad Fnd the area A of the triangle with the given the vertices

  • Medtner
  • · Replies 8 ·
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8

Evaluating Definite Integral $I$

  • juantheron
  • · Replies 1 ·
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1

Undergrad Integration by Parts without using u, v

  • Sang Ho Lee
  • · Replies 2 ·
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2

Undergrad What are the solutions for 10 = (e^x)/x?

  • Tivet
  • · Replies 6 ·
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6

Divergence Test: Evaluating I$_{17}$ at $\tiny{206.8.8.17}$

  • karush
  • · Replies 5 ·
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5

Can Discontinuity and Non-Derivability Exist in Strongly Concave Functions?

  • mathmari
  • · Replies 16 ·
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16

206.8.5.49 Express the integrand as sum of partial fractions

  • karush
  • · Replies 2 ·
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2

Undergrad Can Differentiating a Simple Fraction Simplify Complex Integration?

  • garylau
  • · Replies 10 ·
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10

242.14.2. solve the initial value problem

  • karush
  • · Replies 11 ·
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11

What is g(x) in Terms of f(x): Distance Path Path

  • wheepep
  • · Replies 7 ·
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7

As for the question,How can I simplify (8x^1/2)/(x^2/3)]^1/3?

  • Alex6977
  • · Replies 5 ·
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5

Graduate Piecewise function to draw a specific graph

  • btb4198
  • · Replies 8 ·
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8

High School What is the integral of (x^2+x)/(2x+1) when split into manageable pieces?

  • Sua Lee
  • · Replies 2 ·
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2

Arc length of pirate ship ride with 65 degree swing

  • fluffertoes
  • · Replies 4 ·
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4

Convergence of the series sum of n^n over 3^(1+3n)

  • tmt1
  • · Replies 1 ·
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1

205.q4.2 very painful Newton's Method

  • karush
  • · Replies 8 ·
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8

Evaluating Limit Using L'Hospitals Rule $\tiny{205.q4.1}$

  • karush
  • · Replies 3 ·
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3

Undergrad Directional derivative: identity

  • Waxterzz
  • · Replies 3 ·
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3

206.11.3.12 write the power series

  • karush
  • · Replies 7 ·
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7

Undergrad What happens in this step function?

  • garylau
  • · Replies 6 ·
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6

Limit of (n^2+n)^(1/2)-(n^3+n^2)^(1/3)

  • karseme
  • · Replies 4 ·
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4

How Do You Solve Related Rates Problems Involving Melting Ice?

  • tomc612
  • · Replies 5 ·
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5

So, the car takes approximately 8.43 seconds to travel 100 meters.

  • tomc612
  • · Replies 5 ·
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5

Undergrad How to logically derive the total derivative formula?

  • OmegaKV
  • · Replies 4 ·
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4

Find $F''(2): $$F(x)=∫_x^2 f(t)\,dt$$

  • Starrrrr
  • · Replies 6 ·
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6

Trig substitution for integral of 1/√(1-x²)

  • tmt1
  • · Replies 1 ·
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1

206.11.3.27 first three nonzero terms of the Taylor series

  • karush
  • · Replies 2 ·
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2

Series Convergence Or Divergence

  • tmt1
  • · Replies 1 ·
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1

Water depth increasing in conical tank at 2 cubic meters per minute

  • Austindick5
  • · Replies 1 ·
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1

How do I find the general form of Z and T in Newton's law of cooling?

  • Recce
  • · Replies 3 ·
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3

206.11.3.27 Tayor series 3 terms

  • karush
  • · Replies 4 ·
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4

206.11.3.39 Find the first four nonzero terms of the Taylor series

  • karush
  • · Replies 5 ·
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5

206.11.3.11 Find the first four nozero terms of the Maciaurin series

  • karush
  • · Replies 7 ·
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7

Which test do we have to apply at each case?

  • mathmari
  • · Replies 6 ·
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6

How Does Water Depth Change as a Cone-Shaped Tank Empties?

  • Jenna97
  • · Replies 2 ·
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2

Undergrad Find potential integrating on segments parallel to axes

  • crick
  • · Replies 2 ·
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2

Undergrad Do time-dependent and conservative vector fields exist?

  • fog37
  • · Replies 11 ·
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11

High School Why can't a chain rule exist for integration?

  • Prem1998
  • · Replies 12 ·
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12

High School What is the formula for the length of the graph of e^x in the first quadrant?

  • Prem1998
  • · Replies 13 ·
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13

Undergrad Mathematical representation of probability

  • Timakki
  • · Replies 3 ·
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3

Undergrad Can you integrate f(x)*x without knowing f(x)?

  • ddddd28
  • · Replies 11 ·
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11

242.13.3 Taylor remander formula

  • karush
  • · Replies 3 ·
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3

Approximating Functions with 3rd Order Taylor Polynomials

  • karush
  • · Replies 3 ·
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3

Undergrad Newton's method for approximating solutions of functions

  • stratz
  • · Replies 2 ·
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2

Undergrad Surface of revolution of a donuts

  • lila12345
  • · Replies 2 ·
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2

Find xf^7(x)''(0): Chain Rule Explanation

  • needOfHelpCMath
  • · Replies 3 ·
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3

Derivative: Simplifying an Equation

  • needOfHelpCMath
  • · Replies 2 ·
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2

11. 1.33-T nth order Taylor polynomials - - centered at a=100, n=0

  • karush
  • · Replies 4 ·
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4

How to Use Absolute Convergence Test on This Series?

  • karush
  • · Replies 5 ·
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5

Undergrad What is the role of Laurent series in solving limits at infinity?

  • MAGNIBORO
  • · Replies 6 ·
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6

Undergrad Gaussian integral in two dimensions

  • spaghetti3451
  • · Replies 2 ·
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2

Undergrad What Is the Derivative of cos(x) with Respect to 1/x?

  • flower321
  • · Replies 1 ·
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1

Undergrad Why is the first successive integral with respect to t, not tau?

  • SuperCat
  • · Replies 2 ·
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2
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1

Taylor Polynomials for $e^{-4x}$ at $x=0$

  • karush
  • · Replies 2 ·
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2

Undergrad Centroid Problem Solutions: Integrate or Otherwise?

  • circuit232
  • · Replies 2 ·
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2

Find the limit as x goes to infinity

  • Umar
  • · Replies 5 ·
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5

Crank/Piston Motion: Understanding dB/dt, dB/dθ & d2B/dT2

  • tomc612
  • · Replies 6 ·
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6

Find the nth-order Taylor polynomials centered at 0, for n=0, 1, 2.

  • karush
  • · Replies 3 ·
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3

What is the Derivative of f(x) = 3xlnx?

  • airken1
  • · Replies 7 ·
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7

Undergrad Is the convergence of an infinite series mere convention?

  • pat8126
  • · Replies 31 ·
2
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31

206.11.1.12 quadratic approximating polynomial

  • karush
  • · Replies 2 ·
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2

Undergrad Infinite Sum of x/(z+y): Solving the Puzzle

  • johann1301h
  • · Replies 2 ·
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2

Undergrad Can Fourier Analysis Represent Any Function Using Sin and Cos?

  • LLT71
  • · Replies 7 ·
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7

Find the derivative of the antiderivative

  • Umar
  • · Replies 1 ·
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1

Graduate Convergence of an infinite series of exponentials

  • sumner
  • · Replies 6 ·
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6

Finding Approximate Critical Number with Newton's Method

  • PirateCat
  • · Replies 7 ·
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7

Undergrad Partial derivative of a total derivative

  • halley00
  • · Replies 3 ·
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3

S4.12.9.13 find a power series representation

  • karush
  • · Replies 5 ·
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5

Undergrad How Can Vector Field Simulation Differ Between Iron Core and Vacuum?

  • FelixTheWhale
  • · Replies 18 ·
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18
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1

What is the area bounded by y = 8 – 2x - x^2 and the x-axis?

  • Noah1
  • · Replies 3 ·
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3