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

How do I differentiate $\cos(x+y)$?

  • Guest2
  • · Replies 4 ·
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Graduate Implications of varying the definition of the derivative?

  • japplepie
  • · Replies 5 ·
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Undergrad Why do we need to imagine a varied path in the calculus of variations?

  • NihalRi
  • · Replies 2 ·
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2

What Are the First Two Terms of sin(sin(2x))?

  • Guest2
  • · Replies 2 ·
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2

Undergrad Is ∫ 1/(-x + a)² dx = -1/(-x + a) correct?

  • 5P@N
  • · Replies 6 ·
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Undergrad Is the function differentiable at x = p?

  • PcumP_Ravenclaw
  • · Replies 5 ·
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Undergrad Limit of function with two variables

  • member 508213
  • · Replies 9 ·
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9

How Is the Inverse Hyperbolic Tangent Derived from Its Definition?

  • Guest2
  • · Replies 4 ·
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4

Volume enclosed by rotating a curve segment

  • Guest2
  • · Replies 5 ·
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5

Is the Length of the Curve Segment Correct?

  • Guest2
  • · Replies 6 ·
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6

Series Convergence with Comparison Test

  • Zoey93
  • · Replies 2 ·
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2

Integrating 9/(1+9t²) using substitution

  • grapez
  • · Replies 5 ·
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5

Distance Travelled at Time t: Solve Velocity Problem w/ a=5, b=4, c=1

  • dave dx
  • · Replies 3 ·
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3

Graduate Integral equivalent to fitting a curve to a sum of functions

  • admixtus
  • · Replies 3 ·
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Graduate Horizontal tangent to wolfram alpha's heart-shaped graph

  • nomadreid
  • · Replies 33 ·
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How is the Volume of a Solid of Revolution Derived?

  • Guest2
  • · Replies 3 ·
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3

High School Is the derivative of 2x^2 = 4x or 8x?

  • 5P@N
  • · Replies 9 ·
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9

Undergrad Why is the integral of 1/x from -1 to 1 divergent?

  • ecoo
  • · Replies 2 ·
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2

Graduate Necessary and sufficient condition for differentiability

  • Local
  • · Replies 6 ·
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6

Graduate Understanding Trigonometric Substitution

  • Astro
  • · Replies 12 ·
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12

Undergrad Proof of the integral formula ∫ 1/(ax+b) dx

  • 5P@N
  • · Replies 13 ·
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13

Undergrad Why is ∫x/(1+x^2)dx = 1/2ln(1+x^2)?

  • 5P@N
  • · Replies 4 ·
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4

Undergrad Def. of derivative and cosx=sin(Pi/2-x) to prove y'=-sinx

  • ThaSlave
  • · Replies 2 ·
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2

Calculating $\displaystyle \lim_{x\to 0}$ Complex Limit

  • Guest2
  • · Replies 4 ·
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4

Undergrad What is the derivative of the following?

  • avito009
  • · Replies 5 ·
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5

Limit as x goes to 5 from below

  • Guest2
  • · Replies 6 ·
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6

Calculating Hyperbolic Limit of $\frac{x}{\cosh{x}}$

  • Guest2
  • · Replies 3 ·
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3
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3
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4

Calculating Limit as x Approaches Infinity

  • Guest2
  • · Replies 1 ·
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1

I<0? Evaluate New Year Challenge Integral

  • anemone
  • · Replies 4 ·
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4

Undergrad Implicit Differentiation z=f(x/y) meaning

  • xoxomae
  • · Replies 6 ·
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6

Undergrad Can I undo a derivative to solve for a variable?

  • Intle
  • · Replies 13 ·
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13

Graduate Relative Velocity of locus of curves

  • bugatti79
  • · Replies 3 ·
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3

Graduate Question on ε in epsilon-delta definition of limits.

  • Alpharup
  • · Replies 14 ·
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14

Graduate How to Integrate a Function with Steep Rise for Small x?

  • DrDu
  • · Replies 3 ·
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3

Undergrad Finding minima and maxima for functions of five variables

  • fog37
  • · Replies 4 ·
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4

Radius of Convergence for $\sum_{j=0}^{\infty} \frac{z^{2j}}{2^j}$

  • Guest2
  • · Replies 3 ·
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3

Graduate Expressing an integral in terms of gamma functions

  • CAF123
  • · Replies 1 ·
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1

Undergrad How is implicit differentiation performed in calculus?

  • bugatti79
  • · Replies 11 ·
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Undergrad Sum of area bounded by the curve

  • luka perkovic
  • · Replies 9 ·
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9

Undergrad A question on plotting functions on a graph

  • #neutrino
  • · Replies 3 ·
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3

High School Is a Line Intersecting at One Point a 1-1 Function?

  • #neutrino
  • · Replies 6 ·
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6

Undergrad Vertical line test for single-valued functions

  • #neutrino
  • · Replies 2 ·
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2

Fourier Transform limits problem

  • ognik
  • · Replies 4 ·
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4

Find Fourier series of Dirac delta function

  • ognik
  • · Replies 8 ·
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8

Graduate What math topics are needed to understand sequence convergence and closed forms?

  • Mappe
  • · Replies 3 ·
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3

Graduate Why factoring gives a limit but product rule doesn't for (x²-a²)/(x-a)

  • Alpharup
  • · Replies 6 ·
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6

Fourier series coefficient problem

  • ognik
  • · Replies 5 ·
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5

How to decompose a fourier series

  • ognik
  • · Replies 9 ·
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9

Calculus: Maximum point for revenue function

  • Doffy
  • · Replies 3 ·
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3

Graduate Is dx ever truly equal to zero in integration theory?

  • iScience
  • · Replies 36 ·
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Generating function for trigamma^2

  • alyafey22
  • · Replies 7 ·
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7

Is the half interval Fourier series for f(x)=x over (0,L) correct?

  • ognik
  • · Replies 3 ·
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3

Completing the Square in Fourier Transform: Right or Wrong?

  • ognik
  • · Replies 6 ·
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6

Undergrad Approximating logarithmic series

  • 22990atinesh
  • · Replies 12 ·
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12

Graduate Proof of product rule for gradients

  • Alvise_Souta
  • · Replies 4 ·
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4

Undergrad Spivak "root 2 is irrational number" problem

  • Alpharup
  • · Replies 3 ·
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3

Undergrad Can f''(x_0) = 0 if f'(x_0) =/= 0?

  • FaroukYasser
  • · Replies 8 ·
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8
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7

Graduate Curl as the limit vol->0 of a surface integral

  • Odious Suspect
  • · Replies 3 ·
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3

Undergrad Finding g'(2) where g(x) = d/dx(∫ from 1 to x² of e^t/t dt)

  • Astro
  • · Replies 4 ·
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4

Why is b_n nonzero for f(x) = |x| on [-π,π]?

  • ognik
  • · Replies 2 ·
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2

Integration by parts with absolute function

  • Mathboi1
  • · Replies 3 ·
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3
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6

Undergrad Where is dz/dt in this chain rule derivative?

  • TimeRip496
  • · Replies 6 ·
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6

Determine the convergence of the series

  • Nikolas7
  • · Replies 3 ·
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3

Graduate Kleppner/Kolenkow Vector Problem

  • Cosmophile
  • · Replies 5 ·
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5

Prove $\frac{1}{2}<S<1$ in Sequence Challenge

  • anemone
  • · Replies 2 ·
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2

Undergrad Volume of an octagonal dome by using calculus

  • the_dane
  • · Replies 6 ·
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6

Undergrad Chain rule for product of functions

  • smath42
  • · Replies 16 ·
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16

Graduate Series manipulation using frequency difference σr

  • Deiniol
  • · Replies 2 ·
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2

Finding the Domain of a Function

  • megacat8921
  • · Replies 3 ·
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3

What is the purpose of Approximation?

  • shoshuban
  • · Replies 3 ·
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3

Undergrad Simple differentiation mistake?

  • influx
  • · Replies 3 ·
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3

Graduate Why do integrated stream functions have arbitrary functions of the other variable?

  • influx
  • · Replies 4 ·
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4

Undergrad Is a Tangent Line Defined by a Single Point or Its Surroundings?

  • PcumP_Ravenclaw
  • · Replies 19 ·
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19

Undergrad Leibniz Notation: Understanding Diff. Calculus Anti-Derivatives

  • imjustcurious
  • · Replies 6 ·
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6

Undergrad Is (2^x - 1)/x defined at x = 0?

  • PcumP_Ravenclaw
  • · Replies 2 ·
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2

Graduate What is the closed form for the sum of binomial coefficients over any interval?

  • aaaa202
  • · Replies 4 ·
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4

Harish Karakoti's question on Facebook

  • alyafey22
  • · Replies 1 ·
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1

Calculating the area from 1280 subintervals

  • Nemo1
  • · Replies 9 ·
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9

Application of Differentiation - Points of Inflection.

  • Nemo1
  • · Replies 5 ·
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5

Graduate If d>|t-c|>0 satisfies e>|f(t)-L| does d1<d also?

  • Odious Suspect
  • · Replies 8 ·
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8

Max Area of isosceles triangle with perimeter 1

  • GreenGoblin
  • · Replies 12 ·
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12

Find the equation of the tangent and normal to.

  • Nemo1
  • · Replies 4 ·
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4

Integration: Area between two parabolas on a given interval

  • burritth
  • · Replies 4 ·
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4

What is the product of polylogarithms in a series?

  • alyafey22
  • · Replies 4 ·
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4

Finding perimeter and height formulas from given constraints

  • loquetedigo
  • · Replies 1 ·
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1

Undergrad What qualifies as an infinite discontinuity?

  • shinwolf14
  • · Replies 2 ·
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2

Undergrad Concave/convex -- second derivative

  • charlies1902
  • · Replies 8 ·
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8

Graduate Multivalued limit of (i + i/n)^n

  • forcefield
  • · Replies 3 ·
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3
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3

Undergrad Taylor Series (Derivative question)

  • newbe318
  • · Replies 1 ·
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1
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9

Graduate Calculus of variations with circular boundary conditions

  • madness
  • · Replies 4 ·
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4

N27.09 Derivative of tan and phase shift

  • karush
  • · Replies 8 ·
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8