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

Undergrad Why Does the Partial Derivative of a Sum Cancel Out?

  • Ryan187
  • · Replies 14 ·
Replies
14

Undergrad Why is dz set to zero in constrained differentials?

  • cwill53
  • · Replies 15 ·
Replies
15

Finding Slope with Desmos and Table

  • karush
  • · Replies 3 ·
Replies
3

Where are the one-sided derivatives of f(x) equal?

  • karush
  • · Replies 2 ·
Replies
2

S8.02.4.58 type of discontinuity tikx with 1/sqrt(1-cos(2x))

  • karush
  • · Replies 1 ·
Replies
1

Find Optimal t for Profit: C vs. R

  • alllove
  • · Replies 2 ·
Replies
2

How to Understand and Solve the Chain Rule Problem in Calculus?

  • Another1
  • · Replies 2 ·
Replies
2
Replies
4

High School Why the derivative of area is related to the graph of the function

  • Frigus
  • · Replies 12 ·
Replies
12

Undergrad Cauchy Integral Formula with a singularity

  • cbarker1
  • · Replies 21 ·
Replies
21
Replies
1

Inequality involving area under a curve

  • anemone
  • · Replies 1 ·
Replies
1

Continuous Function Integration Challenge

  • anemone
  • · Replies 1 ·
Replies
1

Undergrad Building problem-solving skills in multivariable calculus

  • Rippling Hysteresis
  • · Replies 4 ·
Replies
4

High School How to prove this infinite series?

  • Imaxx
  • · Replies 4 ·
Replies
4

Good day, Exam Integrals: volume and area

  • andrucabezas
  • · Replies 4 ·
Replies
4

Undergrad Proving the product rule using probability

  • Office_Shredder
  • · Replies 7 ·
Replies
7

Undergrad Chain Rule in Multiple Variables

  • cwill53
  • · Replies 4 ·
Replies
4

Undergrad A Zorich proposition about local charts of smooth surfaces

  • Unconscious
  • · Replies 2 ·
Replies
2

Undergrad Why is the heaviside function in the inverse Laplace transform of 1?

  • Blanchdog
  • · Replies 8 ·
Replies
8

Finding the derivative of a composite function

  • Gwapako
  • · Replies 1 ·
Replies
1

Undergrad An integral with a delta-function

  • Haorong Wu
  • · Replies 2 ·
Replies
2

Undergrad Chebyshev Differentiation Matrix

  • Leonardo Machado
  • · Replies 2 ·
Replies
2

Undergrad Unclear step in "Change of variable in a multiple integral" proof

  • Unconscious
  • · Replies 3 ·
Replies
3

Graduate Partial derivative of Vxx w.r.t. r in terms of Vxx

  • mramzan476
  • · Replies 2 ·
Replies
2

Undergrad Unclear steps in a Zorich proof (Measurable sets and smooth mappings)

  • Unconscious
  • · Replies 2 ·
Replies
2

Finding steady states of coupled differential equations

  • mt91
  • · Replies 1 ·
Replies
1

Find length that minimizes the perimeter

  • anemone
  • · Replies 1 ·
Replies
1

Undergrad A simple equation with simple solution - how to solve it?

  • NotEuler
  • · Replies 12 ·
Replies
12

How Do Steady State Equations Predict Animal Population Dynamics?

  • mt91
  • · Replies 7 ·
Replies
7

Area of the bounded regions between a straight line and a polynomial

  • anemone
  • · Replies 1 ·
Replies
1

Undergrad Using polar coordinates to describe rose petals

  • Worn_Out_Tools
  • · Replies 5 ·
Replies
5

Undergrad Partial derivative of θ'(θ) with respect to φ when θ = θ(φ)

  • kent davidge
  • · Replies 10 ·
Replies
10

Undergrad How can you prove the integral without knowing the derivative?

  • Trying2Learn
  • · Replies 6 ·
Replies
6

Can I also say that cot (0) = positive infinity?

  • xyz_1965
  • · Replies 9 ·
Replies
9

Calculating Height and Distance of a Mountain at Sea

  • xyz_1965
  • · Replies 8 ·
Replies
8

What is the sum of these trigonometric fractions?

  • anemone
  • · Replies 1 ·
Replies
1

1.6.1 AP Calculus Exam Limits with L'H

  • karush
  • · Replies 3 ·
Replies
3
Replies
4

Graduate Is the Chain Rule Applicable to the Euclidean Norm in Calculating Derivatives?

  • SchroedingersLion
  • · Replies 2 ·
Replies
2

Finding minimum value of function with two variable

  • gevni
  • · Replies 7 ·
Replies
7

48.2.2.23 IVP and min valuew

  • karush
  • · Replies 3 ·
Replies
3

Undergrad Linearity of power spectral density calculations

  • Schwann
  • · Replies 3 ·
Replies
3

Single Variable Calculus Summary Rulesheet

  • statisticallyfit
  • · Replies 5 ·
Replies
5

Prove that integral of sin x is greater than √(b²+1) - √2

  • anemone
  • · Replies 1 ·
Replies
1
Replies
2

Undergrad What is the Function for the Value of a Convergent Series Sum?

  • mathman
  • · Replies 3 ·
Replies
3

What is the ratio of two integrals involving sine with exponents of sqrt(2)?

  • MountEvariste
  • · Replies 3 ·
Replies
3

1.1.4 AP Calculus Exam Problem int sec x tan x dx

  • karush
  • · Replies 6 ·
Replies
6

Undergrad Rewriting a complex number for use in an analytic computation

  • CAF123
  • · Replies 8 ·
Replies
8

Undergrad Why integrals took 2000 years to come up in a rigorous manner?

  • Adesh
  • · Replies 9 ·
Replies
9

How to Find the Point of Intersection Between ln x and 5-x?

  • karush
  • · Replies 4 ·
Replies
4

Undergrad How did mathematicians discover the expressions of hyperbolic functions?

  • Leo Liu
  • · Replies 1 ·
Replies
1

Implicit function theorem for f(x,y) = x^2+y^2-1

  • chris222
  • · Replies 1 ·
Replies
1

Graduate How to solve this integral? (something to do with a beta distribution?)

  • Ad VanderVen
  • · Replies 5 ·
Replies
5

Undergrad Finding the error in integrating x^n e^(nx)

  • Mayhem
  • · Replies 5 ·
Replies
5

Undergrad Confusion on a simple integration

  • rude man
  • · Replies 3 ·
Replies
3

Graduate How can we approximate the following integral for large D?

  • Ad VanderVen
  • · Replies 9 ·
Replies
9

Q1 Can you pass this 3 question AP calculus Quiz in 10 minutes

  • karush
  • · Replies 3 ·
Replies
3

Undergrad How to prove that ##f## is integrable given that ##g## is integrable?

  • Adesh
  • · Replies 30 ·
2
Replies
30

Undergrad Questions about this video on Taylor series

  • PainterGuy
  • · Replies 11 ·
Replies
11

Undergrad How Does the Ratio Test Determine Convergence in Power Series?

  • Leo Liu
  • · Replies 19 ·
Replies
19

Undergrad Will ##M_i = m_i## if an interval is made vanishingly small?

  • Adesh
  • · Replies 14 ·
Replies
14

High School How can we be sure a limit is reached if change in x never actually reaches zero?

  • NoahsArk
  • · Replies 29 ·
Replies
29

High School Finding the value of an equation by using its two forms?

  • Frigus
  • · Replies 8 ·
Replies
8

What does erf(t) mean in the integral of e^(-t^2)?

  • karush
  • · Replies 8 ·
Replies
8

Graduate Fractional Calculus - Variable order derivatives and integrals

  • s00mb
  • · Replies 1 ·
Replies
1

Undergrad Transformation of vector components

  • kent davidge
  • · Replies 3 ·
Replies
3

Why is the e in the derivative for related rates?

  • karush
  • · Replies 2 ·
Replies
2

How to solve for x using 2nd derivative?

  • gevni
  • · Replies 8 ·
Replies
8

High School Critical point of a piecewise function

  • mohammed El-Kady
  • · Replies 8 ·
Replies
8

Dimension of the cut-out squares that result in largest possible side area

  • obesiston
  • · Replies 3 ·
Replies
3

Derivatives with Quadratic Functions.

  • Tori No Otoko
  • · Replies 2 ·
Replies
2

Evaluate some kind of gamma function

  • ozgunozgur
  • · Replies 1 ·
Replies
1

Homework questions I've been stuck on for hours

  • ozgunozgur
  • · Replies 21 ·
Replies
21

Undergrad Gradient vectors and level surfaces

  • Haku
  • · Replies 3 ·
Replies
3

2.4.3 AP Calculus Exam Integration limits

  • karush
  • · Replies 6 ·
Replies
6

Are $\vec{r}$ and $\frac{d^2\vec{r}}{dt^2}$ Parallel When m+n=1?

  • WMDhamnekar
  • · Replies 6 ·
Replies
6

Show that the maximum of |4x³+ax²+bx+c| on [-1,1] is at least 1

  • anemone
  • · Replies 1 ·
Replies
1

How Can I Prove These Vector Calculus Relations?

  • WMDhamnekar
  • · Replies 5 ·
Replies
5

High School Is Differentiation the Same as Finding the Derivative?

  • thetexan
  • · Replies 2 ·
Replies
2

Undergrad Square root of the delta function

  • junt
  • · Replies 15 ·
Replies
15

Undergrad Converting a summation into an integration

  • Amentia
  • · Replies 2 ·
Replies
2

Undergrad Derivative of a definite integral

  • Ahmed Mehedi
  • · Replies 28 ·
Replies
28

Undergrad Derivative of a definite integral?

  • Terrell
  • · Replies 8 ·
Replies
8

Undergrad Equality of integrals VS equality of integrands

  • Ahmed Mehedi
  • · Replies 35 ·
2
Replies
35
Replies
1

Finding a multivariable limit with two variables

  • goody1
  • · Replies 5 ·
Replies
5

APC.5.2.01 AP Volume by Rotation

  • karush
  • · Replies 8 ·
Replies
8

Solve for y: APC.7.3.01 Int Subs

  • karush
  • · Replies 4 ·
Replies
4

APC.3.1.2 shortest distance between curve and origin

  • karush
  • · Replies 4 ·
Replies
4

Proving Equation (1): Let r(t) be a Vector in $\mathbb{R^3}$

  • WMDhamnekar
  • · Replies 2 ·
Replies
2

4.1.1 AP calculus Exam Int with U substitution

  • karush
  • · Replies 3 ·
Replies
3

Graduate Partial / Total Derivative, Compositions

  • SchroedingersLion
  • · Replies 4 ·
Replies
4

How Do First and Second Derivatives Impact Problem Solving?

  • jaredjjj
  • · Replies 6 ·
Replies
6

What is the Volume of a Solid with Squares as Cross Sections?

  • karush
  • · Replies 2 ·
Replies
2

Linear Approximation: Check Your Answer

  • jaredjjj
  • · Replies 3 ·
Replies
3

Graduate Volume element in Spherical Coordinates

  • LagrangeEuler
  • · Replies 5 ·
Replies
5

Undergrad Line integral along three segments in 3D space

  • SK97
  • · Replies 14 ·
Replies
14

Can Improper Integrals Help Solve This Inequality?

  • ozgunozgur
  • · Replies 1 ·
Replies
1