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

Limit of |x|/x as x approaches 0

  • The Chaz
  • · Replies 1 ·
Replies
1

Undergrad Geometric Interpretation of √(x^2+y^2+z^2) and its Derivative

  • aaaa202
  • · Replies 1 ·
Replies
1

Undergrad How can I use IFT to find the inverse of a function?

  • TylerH
  • · Replies 4 ·
Replies
4

Graduate Does Fubini's theorem require absolute integrability for both integration orders?

  • Poopsilon
  • · Replies 1 ·
Replies
1

Undergrad Solve linear equations using simplex method

  • russel.arnold
  • · Replies 2 ·
Replies
2

Solving Limit at Infinity Problem: x^(2/3) / (log^2(x))

  • DanSlevin
  • · Replies 6 ·
Replies
6

Graduate Transforming a summation into an anlytical expression

  • leonardo2887
  • · Replies 5 ·
Replies
5

Undergrad Can you have a formula for every degree of polynomial?

  • questionpost
  • · Replies 9 ·
Replies
9

Graduate Using surface waves to describe subsurface density.

  • norman_h
  • · Replies 1 ·
Replies
1

Graduate Kepler's First Law of Planetary Motion

  • Brunetto
  • · Replies 1 ·
Replies
1

Undergrad What is the history and significance of the Riemann integral?

  • Nano-Passion
  • · Replies 4 ·
Replies
4

Graduate Indefinitte Integral of Vector Valued Function

  • Brunetto
  • · Replies 2 ·
Replies
2

Undergrad Question regarding iteration and operations

  • Nano-Passion
  • · Replies 7 ·
Replies
7

Graduate Is f(x) Holomorphic if f(x)^2 and f(x)^3 Are?

  • iamqsqsqs
  • · Replies 3 ·
Replies
3

Undergrad Multivariate Calculus Text Recommendation

  • BloodyFrozen
  • · Replies 3 ·
Replies
3

Graduate Solving Double Sum with _2F_1 Hypergeometric Function

  • Orbb
  • · Replies 2 ·
Replies
2

Graduate Why does the Laplace operator dot product of gradients give the second derivative?

  • ameeno97
  • · Replies 8 ·
Replies
8

Solve Vertical Tangent: y-e^(xy) + x = 0

  • grgrsanjay
  • · Replies 5 ·
Replies
5

High School What is the product rule for finding a derivative in calculus?

  • LogicX
  • · Replies 3 ·
Replies
3

Undergrad Distance between two parallel planes

  • kahwawashay1
  • · Replies 3 ·
Replies
3

Undergrad How Can We Approximate Integrals Using Summations?

  • ronm
  • · Replies 1 ·
Replies
1

Graduate Why Does the Integral of a Step Function Remain Unchanged by Endpoint Values?

  • nascentmind
  • · Replies 7 ·
Replies
7

Graduate Vectors differentiation formulas for Dot and Box Product how?

  • abrowaqas
  • · Replies 5 ·
Replies
5

Undergrad Why is division by infinity defined as 0?

  • unchained1978
  • · Replies 15 ·
Replies
15

Graduate Proof: Norms converge imply Coordinates converge

  • ChemEng1
  • · Replies 4 ·
Replies
4

Graduate Can Sinc Functions Serve as Nascent Delta Functions for Non-Smooth Integrands?

  • mmzaj
  • · Replies 5 ·
Replies
5

Graduate Integral of cos³(x)/(x⁶+1)

  • joao_pimentel
  • · Replies 12 ·
Replies
12

Graduate Need keep in solove a system of differential equation

  • hgyphy
  • · Replies 2 ·
Replies
2

Finding a value that will make a function continuous

  • shle
  • · Replies 3 ·
Replies
3

Graduate I think this is a dominated convergence theorem question

  • thrillhouse86
  • · Replies 4 ·
Replies
4

Undergrad Velocity on the surface of a sphere

  • phantom805
  • · Replies 2 ·
Replies
2

Graduate Integral involving normal pdf and cdf

  • MikeGT
  • · Replies 6 ·
Replies
6

Undergrad Why choose δ=1 in epsilon-delta proof of lim x->3 x^2=9

  • nickadams
  • · Replies 1 ·
Replies
1

Graduate Singularities classification in DE's

  • fluidistic
  • · Replies 2 ·
Replies
2

Graduate Recursive integral using integration by pars

  • oferon
  • · Replies 3 ·
Replies
3

How to Solve an Integral Problem Involving a Continuous Function?

  • grgrsanjay
  • · Replies 3 ·
Replies
3

High School Hi there,To find the gradient of a curve, we draw a chord on the

  • Jadaav
  • · Replies 14 ·
Replies
14

Can you prove this result for any $m,n\in\mathbb{Z}^+$?

  • sbhatnagar
  • · Replies 5 ·
Replies
5

Graduate Why does the vector triple product formula fail for ∇×(U×V)?

  • AlonsoMcLaren
  • · Replies 3 ·
Replies
3

Undergrad Is z^2 a Constant When Differentiating cos(yz^2) with Respect to y?

  • JamesGoh
  • · Replies 3 ·
Replies
3

Graduate When is the Taylor series u(x-t) = Σ u^(n)(x)(-t)^n/n! valid for L² functions?

  • AxiomOfChoice
  • · Replies 1 ·
Replies
1

Graduate Lim x -> 0: Solve f(x) = (-1+e^x) / x

  • DemoniWaari
  • · Replies 2 ·
Replies
2

Graduate Understanding Riemann Zeta functions for s=1/3

  • joao_pimentel
  • · Replies 2 ·
Replies
2

Graduate Using Green's theorem for (2x dy - 3y dx) on a square

  • jlmac2001
  • · Replies 2 ·
Replies
2

Graduate Contour integral with absolute value

  • hunt_mat
  • · Replies 2 ·
Replies
2

Can You Solve This Complex Trigonometric Integral?

  • sbhatnagar
  • · Replies 3 ·
Replies
3

Undergrad How Do You Graph 3D Functions in Mathematica 8?

  • Levi Tate
  • · Replies 12 ·
Replies
12

Can You Solve These Challenging Definite Integral Problems?

  • sbhatnagar
  • · Replies 4 ·
Replies
4

Undergrad Epsilon-delta in problem solving

  • izemiralles
  • · Replies 2 ·
Replies
2

Graduate Do integrable smooth functions have integrable derivatives?

  • bruno67
  • · Replies 2 ·
Replies
2

Undergrad Derivative of function = square of the function?

  • mnb96
  • · Replies 6 ·
Replies
6

Undergrad How can I plot a 3D vertical plane in Mathematica?

  • SwaGGeReR
  • · Replies 2 ·
Replies
2

Graduate Why Must Convex Functions Have Convex Domains?

  • kingwinner
  • · Replies 5 ·
Replies
5

Graduate Sobolev type norms and basis functions

  • ahg187
  • · Replies 1 ·
Replies
1

How Can We Prove This Positive Real Number Inequality?

  • poissonspot
  • · Replies 2 ·
Replies
2

Graduate Solving Complex Integral: Cos(x^2) + Sin(x^2)

  • Nebuchadnezza
  • · Replies 3 ·
Replies
3

Graduate Why do radians *work* in calculus and higher maths?

  • njl86
  • · Replies 6 ·
Replies
6

Graduate How do we show that 2.2.19 and 2.3.21 are equal in this textbook?

  • crocomut
  • · Replies 1 ·
Replies
1

Graduate Why is the unit square a 2-manifold?

  • JG89
  • · Replies 30 ·
2
Replies
30

Graduate Understanding Sup of Function fi(x) i E I

  • kingwinner
  • · Replies 11 ·
Replies
11

High School I confronted something in math which is way too confusing to me

  • sankalpmittal
  • · Replies 4 ·
Replies
4

Undergrad Limit of the greatest integer number

  • LikeMath
  • · Replies 2 ·
Replies
2

Graduate How to show integral identity involving gaussian over x

  • luke
  • · Replies 1 ·
Replies
1

Graduate Confusion over line integrals, Green's Theoreom, Conservative fields

  • bugatti79
  • · Replies 1 ·
Replies
1

Undergrad What is the average for cos2(x)?

  • ucbugrad
  • · Replies 2 ·
Replies
2

Graduate Generating the Borel (sigma-)Algebra

  • matt.qmar
  • · Replies 4 ·
Replies
4

Graduate Diverging Integral: 4 Powers of q in Numerator, 2 in Denominator

  • Elwin.Martin
  • · Replies 1 ·
Replies
1

Undergrad Can You Find Inflection Points by Equating the Top Line of a Derivative to Zero?

  • fran1942
  • · Replies 2 ·
Replies
2

Graduate A simple computation using Leibniz's Rule

  • jakemf1986
  • · Replies 2 ·
Replies
2

Undergrad Converting infinite series into an integral - intuition

  • jd12345
  • · Replies 5 ·
Replies
5

Graduate Repeated applications of sinusoidal functions

  • lordkelvin
  • · Replies 2 ·
Replies
2

Undergrad Simplifying Integration by Parts: Solving ∫ln(x+x^2)dx Using the Hint x(1+x)

  • klancello
  • · Replies 4 ·
Replies
4

Graduate Inverse Function Theorem proof in Rudin

  • transphenomen
  • · Replies 1 ·
Replies
1

Undergrad What is the integral of cos^3(x)tan^4(x)?

  • baher
  • · Replies 1 ·
Replies
1

Graduate How to integrate -exp((s^2 - t^2)/2)*(f'(t) - t*f(t)) dt

  • lamba89
  • · Replies 2 ·
Replies
2

Graduate Variation Question: f Min then \delta f, \delta^2 f?

  • matematikuvol
  • · Replies 5 ·
Replies
5

Graduate Some Questions about Papa Rudin (RCA) Chapter 1

  • joseph.hu37
  • · Replies 2 ·
Replies
2

Graduate Differentiable Automorphisms of ℂ

  • alexfloo
  • · Replies 2 ·
Replies
2

Undergrad How Does WolframAlpha Calculate the Sum of (2n+1)/(n(n+1)(n+2))?

  • antarctic
  • · Replies 2 ·
Replies
2

Graduate Rigorous definition of derivative

  • Chsoviz0716
  • · Replies 23 ·
Replies
23

Graduate Multiple integral notation (or abuse of?)

  • Freiddie
  • · Replies 1 ·
Replies
1

Undergrad It seems strange?+x+x .(x times)=x^2 then x=2x(differentiate wrt x)?

  • vkash
  • · Replies 2 ·
Replies
2

Graduate Does the vector triple-product identity hold for operators?

  • thecommexokid
  • · Replies 4 ·
Replies
4

Undergrad How does multiplying by h's inverse simplify this complex fraction?

  • bobsmith76
  • · Replies 1 ·
Replies
1

Graduate What is the limit of x^lnx as x approaches 0+?

  • mehgunn
  • · Replies 7 ·
Replies
7

Undergrad Tangents, velocities and other rates of change

  • bobsmith76
  • · Replies 1 ·
Replies
1

Undergrad The differences between autocorrelation and convolution

  • azserendipity
  • · Replies 4 ·
Replies
4

Graduate That is also equal to 0. Can you explain why?

  • 76Ahmad
  • · Replies 11 ·
Replies
11

Undergrad The precise definition of limits

  • bobsmith76
  • · Replies 1 ·
Replies
1

Undergrad Finding directional derivatives using tangent planes

  • basenne
  • · Replies 1 ·
Replies
1

Undergrad Calculus 3 introduction to cross product

  • lonewolf219
  • · Replies 5 ·
Replies
5

Undergrad Function in terms of its partial derivatives

  • bhatiaharsh
  • · Replies 6 ·
Replies
6

Graduate Double integral over triangle with known nodes

  • Zhigang Wei
  • · Replies 3 ·
Replies
3

Graduate Difficult Definite Integral Question

  • DHB_Integral
  • · Replies 1 ·
Replies
1

Undergrad Partial integration of the function f = 1

  • caleb5040
  • · Replies 3 ·
Replies
3

Graduate Extending Bounded metric spaces to compact spaces

  • s.hamid.ef
  • · Replies 2 ·
Replies
2

Graduate I think there is some thing wrong

  • MIB
  • · Replies 4 ·
Replies
4

Undergrad Why is the partial derivative of f(x,y') = x+y' with respect to y' equal to 1?

  • MHD93
  • · Replies 3 ·
Replies
3

Undergrad Geometric Meaning of a Vector Integral

  • Lolcat Calc
  • · Replies 6 ·
Replies
6

Undergrad Easy delta/epsilon proof of a multivariable limit

  • pureza
  • · Replies 4 ·
Replies
4