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 How do i differentiate something like 12/(x^+3)?2

  • mutineer
  • · Replies 3 ·
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3

Undergrad How do I calculate the differential of f(x+dx)?

  • graupner1000
  • · Replies 7 ·
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7

Graduate Why doesn't Newton's method converge to a critical point in high dimensions?

  • brydustin
  • · Replies 2 ·
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2

Undergrad Finding c for mean value theorem on f(x)=x²-1 on [0,8]

  • Mac071008
  • · Replies 1 ·
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1

Undergrad Compute Line Integral: (x/y) from (2,4) to (10,100)

  • balrog1212
  • · Replies 2 ·
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2

Graduate Bound for S: Sum of n^k e^(-an)

  • bruno67
  • · Replies 1 ·
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1

Graduate How to find Laurent series expansions of analytic functions

  • spacelike
  • · Replies 5 ·
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5

Graduate Is the Analytic Function e^{ikz}/z Upper or Lower Half Plane for k>0?

  • matematikuvol
  • · Replies 18 ·
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18

Graduate Second derivative of an integral

  • Pietair
  • · Replies 2 ·
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2

Undergrad How was Leibniz notation for derivatives derived?

  • PFCalvin
  • · Replies 2 ·
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2

Graduate Can an integral that is a variable of itself be solved analytically?

  • kmarinas86
  • · Replies 10 ·
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10

Undergrad Is there such a thing as an indefinite multiple integral?

  • swampwiz
  • · Replies 3 ·
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3

Graduate Can someone give me the intuition behind not using time as a parameter

  • teddyayalew
  • · Replies 2 ·
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2

Undergrad I want to know more about series convergence (elementary)

  • 1MileCrash
  • · Replies 2 ·
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2

Undergrad I this mathematically 'legal'?

  • blahblah8724
  • · Replies 11 ·
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11

Graduate Change of variables for Delta distribution

  • esorolla
  • · Replies 20 ·
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20

Graduate Does Bolzano Weierstrass theorem apply in infinite dimensional Hilbert spaces?

  • I<3Gauss
  • · Replies 2 ·
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2

Graduate Fit with least squares, Levenberg–Marquardt algorithm

  • TheDestroyer
  • · Replies 2 ·
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2

Undergrad Why is g only differentiable on (a,b) in the fundamental theorem of calculus part 1?

  • Miike012
  • · Replies 1 ·
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1

Graduate Is f(z) := x^2 + iy^2 Holomorphic Anywhere?

  • blahblah8724
  • · Replies 2 ·
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2

Undergrad Ev(Unit Vector) and projection of a vector in a dot product

  • Usernam
  • · Replies 1 ·
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1

Undergrad Find $\frac{d(y^2)}{d(x^2)}$: Understand This Token

  • MHD93
  • · Replies 1 ·
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1

Graduate Proving Improper Integral with Complex Analysis

  • jusy1
  • · Replies 1 ·
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1

Graduate Proving X is a Set of Measure 0 with Infinite Sequence of Balls

  • Riam
  • · Replies 1 ·
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1

Undergrad Why is the integral 1/x equivalent to log base e?

  • pmqable
  • · Replies 3 ·
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3

Undergrad Changing Variables in a Table: Solving Unknown Formulas

  • ny553
  • · Replies 1 ·
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1

Undergrad Why we take right hand and left hand limit

  • otomanb
  • · Replies 3 ·
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3

Graduate What does this symbol mean (Countour integration over a boundary)?

  • joebohr
  • · Replies 8 ·
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8

Graduate Integral with Cutoff: Understand the Logarithmic Terms

  • LAHLH
  • · Replies 2 ·
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2

Undergrad Is ∫(1/(x²+25))dx² Correctly Evaluated as log(x²+25)?

  • labinojha
  • · Replies 4 ·
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4

Undergrad How Do Related Rates Apply to Moving Objects in Differential Calculus?

  • nDever
  • · Replies 2 ·
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2

Undergrad Approximation for the Exponential

  • moonjob
  • · Replies 3 ·
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3

Undergrad Does Zero Derivative Always Indicate Maximum or Minimum in Calculus?

  • batballbat
  • · Replies 5 ·
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5

Graduate Is the following Idea well-known/usefull? The points of T not surrounded by A

  • deluks917
  • · Replies 1 ·
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1

Graduate I don't understand this estimation lemma example

  • blahblah8724
  • · Replies 2 ·
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2

Graduate Simplifying Bessel functions J_0 and J_1 for numerical integration

  • Astaroth.
  • · Replies 12 ·
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12

Undergrad A couple of questions regarding to my calculus work.

  • JJRKnights
  • · Replies 2 ·
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2

Undergrad Verifying Divergence Theorem with Triple/Surface Integrals

  • blank_slate
  • · Replies 1 ·
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1

Graduate How Do You Calculate the Intersection of Two Spheres in 3D Integrals?

  • kassem84
  • · Replies 1 ·
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1

Undergrad How Do I Calculate the Limit of Sin^-1X/X as X Approaches 0?

  • Voilstone
  • · Replies 4 ·
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4

Graduate Semicontinuity for single variable function. What is it all about?

  • perwiradua
  • · Replies 2 ·
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2

Graduate Rigorous definition of continuity on an open vs closed interval

  • kahwawashay1
  • · Replies 6 ·
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6

Graduate A sum of Cosines (Fouries series)

  • phonic
  • · Replies 2 ·
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2

Graduate Can Termwise Differentiation Be Applied to the Series Ʃ(2+3i)^(2+i)n?

  • sgonzalez90
  • · Replies 3 ·
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3

Undergrad A Function with no Derivative?

  • FeDeX_LaTeX
  • · Replies 3 ·
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3

Graduate Can an integral that is a variable of itself be solved?

  • kmarinas86
  • · Replies 3 ·
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3

Undergrad Is Sin^-1 X = (Sin X ) ^ -1 ?from my book it stated :f(x) =

  • Voilstone
  • · Replies 5 ·
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5

Graduate Integral of x^2*exp(x^2) using erfc tables

  • ronphysics
  • · Replies 7 ·
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7

Graduate Can a Sequence of Step Functions Uniformly Converge to a Continuous Function?

  • &quot;pi&quot;mp
  • · Replies 5 ·
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5

Graduate Complex Series, Region of Convergence

  • sgonzalez90
  • · Replies 3 ·
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3

Undergrad Advanced High Schol project Suggestions

  • hsmathfreaker
  • · Replies 2 ·
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2

Undergrad Summation+Differentiation=Disaster. I with a summation problem I'm having.

  • PEZenfuego
  • · Replies 6 ·
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6

Undergrad Alternating series (Leibniz criterion)

  • Damidami
  • · Replies 2 ·
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2

Graduate Limit of z̄/z as z approaches zero in the complex plane

  • blahblah8724
  • · Replies 2 ·
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2

Graduate Interpolation for numerical integration

  • kaniello
  • · Replies 2 ·
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2

Graduate Is There an Alternative Method to Derive Polynomials for All Real Numbers?

  • georg gill
  • · Replies 23 ·
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23

Graduate Possible Applications of Proving Non-Linear Functions on Curves

  • Kreizhn
  • · Replies 4 ·
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4

Undergrad How Graphs are affect by higher order derivatives

  • ncbs77
  • · Replies 2 ·
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2

Graduate Difficult Integral of trig and sqrt functions

  • dm164
  • · Replies 1 ·
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1

Undergrad Volume of a substance (in a circle)

  • ozone
  • · Replies 1 ·
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1

Graduate Can a bounded subsequence have infinitely many convergent subsequences?

  • Szichedelic
  • · Replies 2 ·
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2

Undergrad Fitting a cubic function to three points using Lagrange polynomials

  • KV-1
  • · Replies 3 ·
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3

Graduate Better Understanding of Complex Differentiability

  • Poopsilon
  • · Replies 6 ·
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6

Graduate Do Nonempty Perfect Sets in R Exist Without Rational Numbers?

  • AbelAkil
  • · Replies 1 ·
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1

Undergrad Extending the proof of (a^(1/n))^m = a^(m/n) to odd exponents

  • georg gill
  • · Replies 3 ·
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3

Graduate Does Dirac manipulate his Delta function sensibly?

  • lugita15
  • · Replies 13 ·
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13

Graduate Radius of convergence: 1/(1+x^2) about 1, using only real analysis

  • pcvt
  • · Replies 4 ·
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4

Undergrad Taylor serie of a function 1/(1+Z^2)

  • nicolas.ard
  • · Replies 3 ·
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3

Graduate Are There Infinite Solutions to e^x = c?

  • Frogeyedpeas
  • · Replies 7 ·
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7

Undergrad How do I rewrite this triple integral into the form \int\int\int dxdydz?

  • violette
  • · Replies 4 ·
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4

Undergrad Finding dX/dF when X depends on F through intermediate variables a and t

  • Zula110100100
  • · Replies 17 ·
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17

Undergrad Problem with proof for ClogA=logA^C

  • georg gill
  • · Replies 5 ·
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5

Undergrad Implicit differentiation gives too many stationary points

  • nomadreid
  • · Replies 2 ·
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2

Undergrad Graph of a trigonometric function

  • Duane
  • · Replies 1 ·
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1

Graduate Proving the Power Rule for Rational Exponents Using Induction

  • georg gill
  • · Replies 10 ·
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10

Graduate Does the Convolution Theorem Hold for Fourier Transforms Using Omega?

  • dimension10
  • · Replies 4 ·
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4

Graduate Derivatives of a Parametric Equaiton for Motion

  • syberraith
  • · Replies 3 ·
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3

Undergrad Property of Natural Log- Inequality equation

  • chetanladha
  • · Replies 5 ·
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5

Graduate How to Derive the Standard Normal CDF in Option Pricing Analysis?

  • yamdizzle
  • · Replies 7 ·
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7

Graduate Does the integral of ln(x)/(1+exp(x)) from 2 to ∞ converge or diverge?

  • hoho2666
  • · Replies 1 ·
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1

Graduate Conditional and absolute convergence (of series)

  • Damidami
  • · Replies 4 ·
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4

Graduate Comparing polynomial and Fourier approximation methods

  • talisman2212
  • · Replies 5 ·
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5

Undergrad Why does Green's theorem allow corners but the line integral theorem doesn't?

  • Dembadon
  • · Replies 9 ·
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9

Undergrad Imaginary numbers what to do with them

  • larsbentley
  • · Replies 4 ·
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4

Graduate Fourier transform of t, 1/t and t^n

  • dimension10
  • · Replies 2 ·
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2

Undergrad How do you find the area under a diagonal hyperbola xy=a where a is a constant?

  • joebohr
  • · Replies 29 ·
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29

Graduate Basic question on fourier coefficients

  • neginf
  • · Replies 1 ·
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1

High School How to impress my calculus teacher again

  • stonecoldgen
  • · Replies 10 ·
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10

Graduate If f is infinitely differentiable and analytic on a dense set is f analytic?

  • deluks917
  • · Replies 2 ·
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2

High School Velocity of Aeroplane: 10degEofS @ 600km/hr

  • priti bartwal
  • · Replies 1 ·
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1

Graduate Proof of Taylor formula without polynomial derivative rules

  • georg gill
  • · Replies 24 ·
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24

Undergrad Proving (a+b)^p ≤ a^p + b^p for 0 < p < 1 without differentiation

  • autobot.d
  • · Replies 5 ·
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5

Graduate Real analysis: show that a continuous function is defined for irrationals

  • nps12345
  • · Replies 2 ·
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2

Undergrad Basic Integral without Basic Concept

  • ahaanomegas
  • · Replies 7 ·
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7

Graduate Derivative of (1-F(x/a)) times x with CDF F

  • ruzbayhhi
  • · Replies 4 ·
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4

Graduate Does 0.999... have independent existence on the real line?

  • Opus131
  • · Replies 2 ·
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2

Graduate Compact Sets of Metric Spaces Which Are Also Open

  • Poopsilon
  • · Replies 10 ·
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10

Undergrad Simplifying a finite product

  • Shevchenko
  • · Replies 1 ·
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1

Graduate Series Expansion for a Sigmoid Equation

  • hak185
  • · Replies 2 ·
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2

Graduate What is the significance of Bessel function quotients?

  • rj_brown
  • · Replies 5 ·
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5