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 How Do You Derive the Average Absolute Y-Value on a Unit Sphere?

  • kmarinas86
  • · Replies 5 ·
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Graduate Why is the derivative of y with respect to z equal to −i?

  • Tom83B
  • · Replies 2 ·
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2

Undergrad How does gradient descent work with a simple example?

  • DeanDeanDean
  • · Replies 1 ·
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1

Graduate Find h such that sin(x)≈x-x³/6+x⁵/120 with error less than 10⁻⁴

  • HappyN
  • · Replies 2 ·
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2

Undergrad Integration step from dR/R = 2d(sin x)/sin x to R = sin²x

  • johnpjust
  • · Replies 3 ·
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3

Graduate Bessel's Equality and Inequality

  • MathBoi
  • · Replies 1 ·
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1

Undergrad How do we convert a summation to integration?

  • MacNCheese
  • · Replies 6 ·
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6

Undergrad Peak of multiple sine waves/functions

  • Jcouls29
  • · Replies 9 ·
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9

Undergrad Integration by parts and Laplace Transforms

  • damo03
  • · Replies 4 ·
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4

Undergrad How to find the antiderivative of (cot x)^5

  • joao_pimentel
  • · Replies 2 ·
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2

Graduate Is \( f(x) = \frac{1}{x} \) Uniformly Continuous on [1, +∞) but Not on (0, 1)?

  • Bachelier
  • · Replies 1 ·
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1

Graduate Green's Functions, Wave Equation

  • Master J
  • · Replies 2 ·
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2

Graduate Is d((xn), (yn)) = lim d(xn, yn) a metric for Cauchy sequences in (X, d)?

  • Bachelier
  • · Replies 8 ·
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8

Undergrad How Can I Prove Continuity Using Epsilon Delta Definition?

  • Fisicks
  • · Replies 2 ·
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2

Undergrad Why can scanf read into a[7] but printf cannot output it?

  • nenyan
  • · Replies 4 ·
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4

Graduate Interesting bounding of Analytic Functions

  • Hyperbolful
  • · Replies 3 ·
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3

Graduate Showcasing f(z)=u(x,y)+i*v(x,y) Properties

  • neginf
  • · Replies 3 ·
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3

Graduate How do I find the intersection of 4D lines?

  • adoado
  • · Replies 2 ·
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2

Graduate Conceptual Problem with Convolution Theorem

  • thrillhouse86
  • · Replies 2 ·
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2

Graduate Parameteric Curves: Partial Diff, Tangent Line?

  • quietrain
  • · Replies 4 ·
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4

Undergrad Why does du approach 0 in the method of increments for product derivatives?

  • physicsnnewbie
  • · Replies 3 ·
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3

Graduate Angular Velocity from Orthogonal Rotation Matrix

  • ZachGriffin
  • · Replies 4 ·
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4

Undergrad What is the Pattern in the Integration of (x^n)(e^x) dx?

  • zketrouble
  • · Replies 5 ·
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5

High School Differentiation practicing materials?

  • substance90
  • · Replies 1 ·
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1

Undergrad How do I integrate 1/(x^7 + x) using partial fractions?

  • LusTRouZ
  • · Replies 4 ·
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4

Graduate Extending periodic curves with matching derivatives at endpoints

  • Buri
  • · Replies 4 ·
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4

Graduate Expanding Powers of 1/R - Modern Quantum Mechanics by JJ Sakurai

  • Master J
  • · Replies 5 ·
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5

Graduate Minimizing in the 6 dof of rigid bodies

  • nitroamos
  • · Replies 2 ·
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2

Graduate Fourier transform solution to electrostatics Poisson equation?

  • Peeter
  • · Replies 6 ·
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6

Graduate Understanding Variable Changes in the Chain Rule for Mathematicians

  • Buri
  • · Replies 8 ·
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8

Graduate Why are disjoint balls in l-infinity proof that it's not separable?

  • Rasalhague
  • · Replies 6 ·
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6

Graduate Is the Curl of a Cross Product Affected by Directional Nabla?

  • PhilDSP
  • · Replies 3 ·
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3

Undergrad Calculus books with solved exercises

  • FunMath
  • · Replies 5 ·
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5

Graduate Why Is the Inverse Function Theorem by Spivak Difficult to Follow?

  • tjkubo
  • · Replies 1 ·
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1

Graduate Integral Calc: Integrated by Parts - Is it Correct?

  • smh
  • · Replies 1 ·
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1

Graduate L^2 convergence implies a.e. pointwise convergence? Since when?

  • AxiomOfChoice
  • · Replies 1 ·
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1

Graduate Understanding Derivative of $\Vert f\Vert_{2}^{2}$

  • cheeez
  • · Replies 1 ·
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1

Graduate Volume Calculation for Sphere and Cylinder Intersection

  • matiasmorant
  • · Replies 2 ·
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2

Undergrad Expressing a rational expression in partial fractions

  • MathsRetard09
  • · Replies 2 ·
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2

Undergrad When does substitution work if the derivative isn't present?

  • MathWarrior
  • · Replies 4 ·
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4

Undergrad Why must a bounded sequence be symmetric about 0?

  • torquerotates
  • · Replies 4 ·
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4

High School Can You Solve This Hilarious Limit Problem Involving Sine and Infinity?

  • benorin
  • · Replies 221 ·
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221

Undergrad Is the derivative of an even function always an odd function?

  • JasonRox
  • · Replies 4 ·
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4

Undergrad Finding Finite Series for Euler's Number (e)

  • eddybob123
  • · Replies 3 ·
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3

Graduate Dirac delta function under integral?

  • chempinaki
  • · Replies 1 ·
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1

Graduate Contour integral using branchcut

  • qlsn4123
  • · Replies 2 ·
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2

Graduate Confusion on orientation of manifolds

  • demonelite123
  • · Replies 2 ·
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2

Undergrad What is the most efficient way to approximate the derivative of discrete data?

  • Curl
  • · Replies 2 ·
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2

Graduate Integrals of differentialble functions on a bounded interval

  • mjpam
  • · Replies 3 ·
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3

Undergrad Limits in case of 'vector functions'

  • Ashu2912
  • · Replies 4 ·
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4

Undergrad Soild Revolutions, surface area etc.

  • MathWarrior
  • · Replies 1 ·
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1

Undergrad Make this function continuous/numerically stable.

  • Unrest
  • · Replies 4 ·
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4

Graduate Explaining the Implications of Corollary 15.5 in Extended Integrals

  • Buri
  • · Replies 11 ·
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11

Undergrad Are Derivatives Merely Approximations?

  • Femme_physics
  • · Replies 28 ·
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28

Graduate 3 equations, 3 variables: can it be solved?

  • azizz
  • · Replies 2 ·
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2

Undergrad Why use Taylor series if they only converge on a limited interval

  • Levis2
  • · Replies 5 ·
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5

Undergrad Is a this function differentiable?

  • SprucerMoose
  • · Replies 6 ·
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6

What does ye mean?

  • aldrinkleys
  • · Replies 6 ·
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6

Undergrad Is dy/dx a Limit or a Quotient?

  • Ashu2912
  • · Replies 3 ·
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3

Undergrad Why does the epsilon-delta definition allow epsilon greater than the constraint?

  • torquerotates
  • · Replies 3 ·
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3

Graduate How can I find the y(x) that minimizes the functional J?

  • muzialis
  • · Replies 1 ·
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1

Undergrad Simplifying rational powers after completing a derivative

  • andraos
  • · Replies 2 ·
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2

Undergrad Simplifying cos(nπ/2 + nπx/2) for odd n values

  • yungman
  • · Replies 2 ·
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2

Undergrad Which method should I use for integrating (x^2+x)^-1?

  • TylerH
  • · Replies 6 ·
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6

Graduate Real Solutions in Time Independent Schrodinger's Equation?

  • spaghetti3451
  • · Replies 2 ·
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2

Graduate Can Laplacian and Curl Operators Be Interchanged?

  • Karthiksrao
  • · Replies 2 ·
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2

Graduate Confusion about the definition of Uniform Continutiy

  • torquerotates
  • · Replies 3 ·
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3

Limits Confusion: What Is Wrong?

  • zorro
  • · Replies 5 ·
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5

Undergrad Does the domain of ln(x+1) affect its derivative and antiderivative?

  • SprucerMoose
  • · Replies 6 ·
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6

Graduate Limit definition gives a contradiction

  • torquerotates
  • · Replies 4 ·
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4

Graduate Why do we need three deltas in the product limit law proof?

  • bjgawp
  • · Replies 17 ·
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17

Graduate Derivative of a derivative (2nd derivative) at only ONE point

  • arestes
  • · Replies 5 ·
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5

Graduate Proving Closure of X/Y in Normed Spaces

  • wii
  • · Replies 5 ·
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5

Graduate Changing order of integration for a double integral

  • JFo
  • · Replies 1 ·
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1

Graduate Dominate Convergence Theorem for the Dirac delta function

  • friend
  • · Replies 9 ·
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9

Graduate Existence of a certain increasing function

  • gamma5772
  • · Replies 2 ·
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2

Undergrad Antiderivative of an even function

  • filter54321
  • · Replies 3 ·
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3

Graduate Does Proving An/Bn -> L Ensure An Converges to BnL as n Approaches Infinity?

  • Fisicks
  • · Replies 2 ·
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2

Undergrad Leibniz notation makes no sense?

  • Pithikos
  • · Replies 4 ·
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4

Graduate Rounding Error in Derivative Calculation for Non-Constant Functions

  • SprucerMoose
  • · Replies 6 ·
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6

Graduate Rearranging a series to prove a limit.

  • Yuqing
  • · Replies 4 ·
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4

Graduate Finding Complicated Inverse Functions

  • JungleJesus
  • · Replies 5 ·
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5

Graduate Prove f=0: Holomorphic Polynomial

  • cheeez
  • · Replies 4 ·
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4

Graduate Did Fubini's Theorem Fail?

  • aldrinkleys
  • · Replies 2 ·
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2

Graduate Orthogonality limits of Bessel Polynomials

  • prhzn
  • · Replies 1 ·
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1

Graduate Addition formulae proof for sin(x + y) and cos(x + y)

  • maximus101
  • · Replies 1 ·
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1

Undergrad Showing that multiple points are coplanar

  • ZeroSum
  • · Replies 5 ·
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5

Graduate Proving Integral Convergence with L1 Functions

  • scottneh
  • · Replies 2 ·
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2

Graduate Sums of Integer Powers - C(s) Convergence

  • adoado
  • · Replies 2 ·
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2

Graduate Does Scalar Multiplication Preserve the Supremum in Simple Sets?

  • Seacow1988
  • · Replies 2 ·
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2

Undergrad How antidifferentiate quotient without using advanced methods?

  • Pithikos
  • · Replies 1 ·
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1

Undergrad What's the actual difference between undefined and indeterminate form ?

  • Femme_physics
  • · Replies 4 ·
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4

Undergrad What _is_ an indefinite integral?

  • monea83
  • · Replies 12 ·
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12

Undergrad Total Derivative of a Function of Two Variables

  • amaresh92
  • · Replies 3 ·
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3

Graduate Laplace transform of a weird function

  • clustro
  • · Replies 2 ·
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2

Graduate Functions in reals such that inequality holds

  • maximus101
  • · Replies 9 ·
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9

Undergrad Proving lim (1-1/n)^n=1/e as n Approaches Infinity

  • MooCow
  • · Replies 17 ·
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17

Undergrad Finding the limit of √(x² + 1) as x → ∞

  • SprucerMoose
  • · Replies 8 ·
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8

Graduate How to Derive and Integrate Specific Mathematical Functions?

  • EngWiPy
  • · Replies 7 ·
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7

Graduate Proving the Inverse Laplace Transform of 1/(sqrt(s)+a)

  • iiternal
  • · Replies 3 ·
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3