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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4

Undergrad Why do we need to imagine a varied path in the calculus of variations?

  • NihalRi
  • · Replies 2 ·
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What Are the First Two Terms of sin(sin(2x))?

  • Guest2
  • · Replies 2 ·
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Undergrad Is ∫ 1/(-x + a)² dx = -1/(-x + a) correct?

  • 5P@N
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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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Volume enclosed by rotating a curve segment

  • Guest2
  • · Replies 5 ·
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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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AP question: Integral of 9 / (1 +9t^2)

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

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

  • 5P@N
  • · Replies 9 ·
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Undergrad Why is the integral of 1/x from -1 to 1 divergent?

  • ecoo
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Graduate Necessary and sufficient condition for differentiability

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

  • Guest2
  • · Replies 4 ·
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Undergrad What is the derivative of the following?

  • avito009
  • · Replies 5 ·
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Limit as x goes to 5 from below

  • Guest2
  • · Replies 6 ·
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Calculating Hyperbolic Limit of $\frac{x}{\cosh{x}}$

  • Guest2
  • · Replies 3 ·
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3
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Calculating Limit as x Approaches Infinity

  • Guest2
  • · Replies 1 ·
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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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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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Graduate Question on ε in epsilon-delta definition of limits.

  • Alpharup
  • · Replies 14 ·
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Graduate How to Integrate a Function with Steep Rise for Small x?

  • DrDu
  • · Replies 3 ·
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Undergrad Finding minima and maxima for functions of five variables

  • fog37
  • · Replies 4 ·
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Radius of Convergence for $\sum_{j=0}^{\infty} \frac{z^{2j}}{2^j}$

  • Guest2
  • · Replies 3 ·
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Graduate Expressing an integral in terms of gamma functions

  • CAF123
  • · Replies 1 ·
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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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High School Is a Line Intersecting at One Point a 1-1 Function?

  • #neutrino
  • · Replies 6 ·
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Undergrad Vertical line test for single-valued functions

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

  • Alpharup
  • · Replies 6 ·
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Fourier series coefficient problem

  • ognik
  • · Replies 5 ·
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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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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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Is the half interval Fourier series for f(x)=x over (0,L) correct?

  • ognik
  • · Replies 3 ·
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Completing the Square in Fourier Transform: Right or Wrong?

  • ognik
  • · Replies 6 ·
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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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Undergrad Spivak "root 2 is irrational number" problem

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

  • FaroukYasser
  • · Replies 8 ·
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Graduate Curl as the limit vol->0 of a surface integral

  • Odious Suspect
  • · Replies 3 ·
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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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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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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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Undergrad Volume of an octagonal dome by using calculus

  • the_dane
  • · Replies 6 ·
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Undergrad Chain rule for product of functions

  • smath42
  • · Replies 16 ·
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Graduate Series manipulation using frequency difference σr

  • Deiniol
  • · Replies 2 ·
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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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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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Undergrad Taylor Series (Derivative question)

  • newbe318
  • · Replies 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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Undergrad How to Derive Complex Equations Using Chain and Product/Quotient Rules?

  • BIOS
  • · Replies 3 ·
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3

What is the 2nd Derivative of y(t)=tan5t?

  • riri
  • · Replies 1 ·
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1