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

Graduate Chaos: difference vs differential equation

  • haushofer
  • · Replies 8 ·
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8

Why does switching the order of integration simplify double integrals?

  • harpazo
  • · Replies 9 ·
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9

Undergrad Integration over something with addition in denominator

  • Xilor
  • · Replies 13 ·
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13

How Do You Calculate the Limit of 3sin(5x)/sin(3x) as x Approaches 0?

  • Aychetown
  • · Replies 1 ·
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1

Graduate How to solve this partial derivative which includes a summation?

  • JERRY-thechuha
  • · Replies 6 ·
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6

High School Why is Δv Replaced by du/dx in Series Expansion?

  • mech-eng
  • · Replies 3 ·
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3

Undergrad Finding the sum of heights under a curve

  • yosimba2000
  • · Replies 3 ·
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3

Undergrad Why is tan(Θ) equal to dy/dx for small angles?

  • yosimba2000
  • · Replies 9 ·
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9

Graduate Impossible Curl of a Vector Field

  • laplacianZero
  • · Replies 7 ·
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7

Undergrad Finding Area of Graphs with x^2: A General Solution?

  • Brage Eidsvik
  • · Replies 5 ·
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5

Solution to Infinite series for E^(n^2x)

  • IanM
  • · Replies 2 ·
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2

Undergrad What's the name of this series?

  • puzzled fish
  • · Replies 7 ·
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7

Proving f(1 + w) > f(1) + w*f'(1) for convex functions

  • IlanSherer
  • · Replies 1 ·
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1

High School Can a step function have a Fourier series expansion?

  • chikou24i
  • · Replies 5 ·
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5

Undergrad Critical points for difficult function

  • Robin64
  • · Replies 6 ·
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6

Undergrad Integrating a curve of position vectors

  • rabbed
  • · Replies 4 ·
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4

Graduate How to get this result for this integral?

  • ShayanJ
  • · Replies 2 ·
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2

Minimum of function under constraint

  • mathmari
  • · Replies 10 ·
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10

10.8.3 Find the Taylor polynomial

  • karush
  • · Replies 3 ·
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3

Graduate Deriving functions relating to condition numbers

  • mabelw
  • · Replies 1 ·
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1

Undergrad Power series - Different problem

  • Neon32
  • · Replies 3 ·
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3

What is the total area of the infinite number of inscribed squares?

  • lfdahl
  • · Replies 3 ·
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3

Undergrad Why do we take absolute value in power series?

  • Neon32
  • · Replies 5 ·
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5

High School Can f(x) and f'(x) both approach a non-zero constant?

  • Saracen Rue
  • · Replies 12 ·
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12

Undergrad Absolutely convergent/Conditionally convergent/Divergent

  • Neon32
  • · Replies 8 ·
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8

Graduate Integral in terms of Gamma functions

  • ShayanJ
  • · Replies 6 ·
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6

High School When should I use implicit differentiation?

  • Debaa
  • · Replies 2 ·
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2

High School Is the derivative of a function everywhere the same on a given curve?

  • Debaa
  • · Replies 9 ·
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9

High School What is an asymptotic function and how do you integrate it?

  • Debaa
  • · Replies 2 ·
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2

What are the steps for solving a problem using Lagrange Multipliers?

  • harpazo
  • · Replies 9 ·
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9

Finding Extrema with Lagrange Multipliers

  • harpazo
  • · Replies 9 ·
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9

Undergrad Higher Level Derivative Notation

  • SpaceRocks
  • · Replies 3 ·
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3

Insights The Pantheon of Derivatives - Important Theorems (V)

  • fresh_42
  • · Replies 2 ·
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2

Undergrad Divergence/Convergence for Telescoping series

  • Neon32
  • · Replies 10 ·
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10

If y = tan inverse (cot x) + cot inverse (tan x)

  • rahulk1
  • · Replies 3 ·
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3

Undergrad Find Cauchy Principal Value of Improper Integral

  • Mr Davis 97
  • · Replies 10 ·
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10

Boat B Must Head 56.4° South of West

  • markosheehan
  • · Replies 6 ·
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6

Are the critical points minima or maxima?

  • mathmari
  • · Replies 4 ·
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4

Undergrad Telling whether an improper integral converges

  • Mr Davis 97
  • · Replies 3 ·
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3
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2

Calculating the Slope of the IS-curve - Hint Included!

  • mathmari
  • · Replies 4 ·
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4

Undergrad Solving a definite integral by differentiation under the integral

  • Mr Davis 97
  • · Replies 1 ·
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1

If y = sin inverse (x square + 2x) find dy/dx

  • rahulk1
  • · Replies 3 ·
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3

-z.54 find the radius of convergence

  • karush
  • · Replies 3 ·
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3

Undergrad Is the Pole at u=2 Integrable?

  • junt
  • · Replies 6 ·
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6

If y=sin5 + log base 10 x+ 2 sec x find dy/dx

  • rahulk1
  • · Replies 7 ·
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7

Convergence of four sequences and their subsequences

  • mathmari
  • · Replies 2 ·
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2

Insights The Pantheon of Derivatives - Lie Derivatives And Others (IV)

  • fresh_42
  • · Replies 5 ·
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5

Find Differential Coefficient of Root 2 Sin x + 4x^5 -3/x^4

  • rahulk1
  • · Replies 3 ·
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3

Undergrad How Can We Simplify Evaluating the Improper Integral of Logarithmic Functions?

  • Mr Davis 97
  • · Replies 10 ·
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10

Undergrad Heavyside step function chain rule

  • Black_Hole_93
  • · Replies 2 ·
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2

What is the geometric description of a set of vectors in $\mathbb{R}^2$?

  • mathmari
  • · Replies 6 ·
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6

Undergrad Why does constant speed on a circle give nonzero acceleration?

  • rabbed
  • · Replies 3 ·
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3

Undergrad Evaluating improper integrals with singularities

  • Mr Davis 97
  • · Replies 6 ·
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6

How to find the value of f'(x) at c

  • rahulk1
  • · Replies 5 ·
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5

Insights The Pantheon of Derivatives - Sections, Pullbacks And Pushforwards (III)

  • fresh_42
  • · Replies 3 ·
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3

Do these three series converge?

  • marky1
  • · Replies 1 ·
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1
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1

Undergrad Does the Tail of a Convergent Series Also Converge to Zero?

  • DaniV
  • · Replies 3 ·
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3

Radian Measure: Show Cone Surface Area is $\pi rl$

  • Sherlock16
  • · Replies 1 ·
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1

Insights A Continuous, Nowhere Differentiable Function: Part 2 - comments

  • jbunniii
  • · Replies 2 ·
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2

Insights The Pantheon of Derivatives – Manifolds And Vector Fields (II)

  • fresh_42
  • · Replies 7 ·
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7

Does the Series Converge Absolutely, Conditionally, or Diverge?

  • karush
  • · Replies 2 ·
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2

Find Absolute Extrema Over Region R

  • harpazo
  • · Replies 3 ·
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3

Relative Extrema vs Absolute Extrema

  • harpazo
  • · Replies 2 ·
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2

Graduate Differentiate Infinity: What Is It?

  • sheld
  • · Replies 2 ·
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2

Insights The Pantheon of Derivatives – The Direction (I)

  • fresh_42
  • · Replies 3 ·
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3

10.5.55 Does the following series converge or diverge?

  • karush
  • · Replies 4 ·
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4

Finding Extrema under Constraints

  • mathmari
  • · Replies 4 ·
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4

High School Taylor Polynomials and decreasing terms

  • HOLALO
  • · Replies 1 ·
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1

Undergrad By Continuity definition 1/0 is infinity

  • NotASmurf
  • · Replies 9 ·
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9

Graduate Coulomb integrals of spherical Bessel functions

  • Ben Wilson
  • · Replies 10 ·
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10

Undergrad Need a little push on this integral using trig substitution.

  • uchuu-man chi
  • · Replies 2 ·
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2

Graduate How is this mathematically rigorous?

  • EddiePhys
  • · Replies 25 ·
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25

Undergrad What is a Functional in Mathematics?

  • David112234
  • · Replies 10 ·
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10

10.02.10 Find the sum of the series

  • karush
  • · Replies 2 ·
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2

How to Find the Absolute Extrema of a Function Over a Defined Region?

  • harpazo
  • · Replies 2 ·
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2

High School Sum of increasing and decreasing functions

  • chakib
  • · Replies 4 ·
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4

Proving convexity of f(x)=(1+x)^n and estimating with tangent line

  • mathmari
  • · Replies 6 ·
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6

Does the Series Sum of e^n/(1+e^(2n)) Converge?

  • karush
  • · Replies 1 ·
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1

Undergrad Directional Derivative: Why Must Vector Be Unit Vector?

  • Mr Davis 97
  • · Replies 8 ·
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8

Undergrad Area ellipse: parametric form, angles and coincidences

  • haushofer
  • · Replies 10 ·
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10

Undergrad Limit of a two variable function

  • Drako Amorim
  • · Replies 40 ·
2
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40

Undergrad Partial vs full derivative with implicit and independent variables

  • member 428835
  • · Replies 34 ·
2
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34

Undergrad Can a Velocity Vector be Integrated to Parameterize y=x^2?

  • rabbed
  • · Replies 5 ·
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5

How can we calculate the limits?

  • mathmari
  • · Replies 2 ·
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2

Insights Solve Integrals Involving Tangent and Secant with This One Trick - Comments

  • stevendaryl
  • · Replies 6 ·
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6

Undergrad How do I evaluate the Taylor series for ##Si(x)## around a given value?

  • Kumar8434
  • · Replies 19 ·
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19

High School Applying L'Hospital's rule to Integration as the limit of a sum

  • Kumar8434
  • · Replies 18 ·
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18

Undergrad Limits of integration on Polar curves

  • CrazyNeutrino
  • · Replies 5 ·
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5

Is the Tabular Method the Easiest Way to Solve Integrals?

  • karush
  • · Replies 4 ·
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4

Second Partials Test fails at (0,0) for f(x,y)=x^(2/3)+y^(2/3)

  • harpazo
  • · Replies 1 ·
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1

Finding critical points and extrema of f(x,y) = x³ + y³

  • harpazo
  • · Replies 1 ·
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1

Finding Critical Points and Extrema for g(x, y) = sqrt{x^2 + y^2 + 1}

  • harpazo
  • · Replies 1 ·
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1

Integration By Parts: uv-Substitution - 9.2

  • karush
  • · Replies 4 ·
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4

Integrating $-3x\cos{4x}$: Step-by-Step

  • karush
  • · Replies 5 ·
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5

Undergrad How come surface integrals are single integrals in my book?

  • Andrea94
  • · Replies 3 ·
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3

Why does the second partials test fail for f(x,y)=(x-1)²(y+4)²?

  • harpazo
  • · Replies 4 ·
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4

How to Find Lines Tangent to a Parabola Passing Through a Given Point?

  • Kenny52
  • · Replies 1 ·
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1

High School Instantaneous speed without using calculus

  • rajeshmarndi
  • · Replies 2 ·
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2