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 can the first principles approach be used to differentiate a^x?

  • mtanti
  • · Replies 11 ·
Replies
11

Graduate Question about the concept of divergente

  • Taturana
  • · Replies 4 ·
Replies
4

Undergrad Calculating the Phase Spectrum from a Fourier Transform

  • dead_devil_66
  • · Replies 7 ·
Replies
7

Graduate My Mind going to blow Why Conservative field Path independ?

  • TMSxPhyFor
  • · Replies 26 ·
Replies
26

Graduate Challenging Math Problem: Can You Solve This Confusing Integral?

  • i2c
  • · Replies 8 ·
Replies
8

Graduate Convergence of Taylor series in several variables

  • zetafunction
  • · Replies 1 ·
Replies
1

Graduate Why NO multiple Laurent series ?

  • zetafunction
  • · Replies 4 ·
Replies
4

Graduate Spivak (Calculus on Manifolds) proof of stolkes theorem

  • ~Death~
  • · Replies 1 ·
Replies
1

Undergrad Finding Math Software to Fit & Adjust Curves

  • albert281
  • · Replies 9 ·
Replies
9

Graduate Compact embedding and strong convergence

  • NSAC
  • · Replies 2 ·
Replies
2

Graduate How can we prove f(x,y) is differentiable using induction?

  • raphael3d
  • · Replies 3 ·
Replies
3

Undergrad Question about domain of derivatives

  • Taturana
  • · Replies 4 ·
Replies
4

Differentiable implies continuous

  • dmatador
  • · Replies 7 ·
Replies
7

Undergrad Different proof of the derivative of e^x

  • Natel
  • · Replies 4 ·
Replies
4

Graduate How can you find the Fourier series of Sin[x] with a period other than 2n Pi?

  • misterme09
  • · Replies 8 ·
Replies
8

Graduate A question about Caratheodory condition.

  • zzzhhh
  • · Replies 2 ·
Replies
2

Graduate Trying to understand the concept of divergence

  • Taturana
  • · Replies 3 ·
Replies
3

Graduate Measurable functions and division by zero

  • AxiomOfChoice
  • · Replies 2 ·
Replies
2

Graduate Proof that the rationals are not a G_\delta set.

  • AxiomOfChoice
  • · Replies 5 ·
Replies
5

Undergrad How do I integrate sin(x^2) please? Not (sin(x))^2.

  • esisk
  • · Replies 9 ·
Replies
9

Graduate Angle ranges in hyperspherical coordinates

  • NanakiXIII
  • · Replies 4 ·
Replies
4

Graduate Integral of Rational Function with Zero Result

  • StatusX
  • · Replies 9 ·
Replies
9

Undergrad Implicit differentiation, whats going wrong?

  • luckyducky87
  • · Replies 3 ·
Replies
3

Graduate Prove that the limit of this sequence is > 0

  • seeker101
  • · Replies 10 ·
Replies
10

Undergrad What are the implications of having different lateral derivatives at a point?

  • Taturana
  • · Replies 4 ·
Replies
4

Undergrad Derive Multivariable Taylor Series

  • adoado
  • · Replies 4 ·
Replies
4

Undergrad Solve Delta Integral: \int_{-\infty}^{\infty} ln(x+3) \delta (x+2) dx

  • SpY]
  • · Replies 10 ·
Replies
10

Undergrad Wikipedia shows a proof of product rule using differentials by

  • PhDorBust
  • · Replies 4 ·
Replies
4

Undergrad How to solve these integrals? sqrt(a^2 + x^2) & sqrt(2 + x^2)?

  • srk999
  • · Replies 2 ·
Replies
2

Undergrad Proof of Limit of a Recursive Sequence

  • Tclack
  • · Replies 4 ·
Replies
4

Undergrad Can Derivatives be Taken with Respect to Functions?

  • Char. Limit
  • · Replies 8 ·
Replies
8

Graduate How to inverse surface integral of a vector field

  • Sify
  • · Replies 3 ·
Replies
3

Undergrad How to differentiate y = 8 ln x - 9 x with respect to x^2?

  • DavidLiew
  • · Replies 5 ·
Replies
5

Graduate Proving Functional Derivative for Current Research - Alice

  • alicexigao
  • · Replies 1 ·
Replies
1

Graduate Circle Series Reciprocal: Taking the Reciprocal of an Infinite Series

  • Unit
  • · Replies 2 ·
Replies
2

Graduate Double integral of product of Diracs

  • juriguen
  • · Replies 2 ·
Replies
2

Graduate Binomial series vs Binomial theorem, scratching my head for three days on this

  • gretun
  • · Replies 6 ·
Replies
6

High School Verifying a Hard Trigonometric Identitiy ()

  • Harleyd2900
  • · Replies 11 ·
Replies
11

Graduate A CONJECTURE (could someone help ? )

  • zetafunction
  • · Replies 1 ·
Replies
1

Graduate Inverse of Curl Operator: A as a Function of B?

  • ikaal
  • · Replies 5 ·
Replies
5

Graduate Does the Integral of exp((ix-s)*k)/k from 0 to Infinity Converge?

  • acompean
  • · Replies 1 ·
Replies
1

Graduate Laurent Series Expansion for Complex Functions

  • rick1138
  • · Replies 5 ·
Replies
5

Undergrad Why is ln(2) in the Derivative of 2^u?

  • Xtensity
  • · Replies 20 ·
Replies
20

Graduate Making sense of continuity at a point where f(x) = Infinity?

  • AxiomOfChoice
  • · Replies 1 ·
Replies
1

Graduate Expressing start of a vector using a point on the vector

  • yotama9
  • · Replies 5 ·
Replies
5

Undergrad Linear Algebra - Multiplying a matrix and vector.

  • jinksys
  • · Replies 7 ·
Replies
7

Undergrad Confusion with understanding derivatives in respect to

  • Xtensity
  • · Replies 3 ·
Replies
3

Undergrad Calculus book recommendation (CompSci)

  • nwb
  • · Replies 3 ·
Replies
3

Undergrad How Do I Find a Distribution Function Based on Measurements?

  • Yulia_sch
  • · Replies 2 ·
Replies
2

Undergrad What is the effect of changing the axis location on rowing oarlocks?

  • rickhoran
  • · Replies 3 ·
Replies
3

Graduate What is the name and value of the constant \sum_{n=1}^\infty{2^{-2^n}}?

  • Pere Callahan
  • · Replies 1 ·
Replies
1

Undergrad What is the continuum hypothesis in set theory?

  • abiyo
  • · Replies 14 ·
Replies
14

High School HELP how to plug this into the calculator sigma notation?

  • femmed0ll
  • · Replies 3 ·
Replies
3

Undergrad What Value of b Solves 1/2b^2 = sin(b)?

  • Coriolis314
  • · Replies 2 ·
Replies
2

Graduate Constrained Optimization via Lagrange Multipliers

  • Kreizhn
  • · Replies 10 ·
Replies
10

High School What is the formula for calculating the central angle of a cone?

  • ivan77
  • · Replies 1 ·
Replies
1

Undergrad How Do I Correctly Evaluate the Integral Over [0,2pi] of √(t^2+2) dt?

  • Alexx1
  • · Replies 3 ·
Replies
3

Graduate Proving Equivalence of Euler-Macheroni Constant

  • BigKissLilKis
  • · Replies 1 ·
Replies
1

Graduate Real Integral Solutions: Exact vs Approximations

  • darkside00
  • · Replies 4 ·
Replies
4

Graduate Continuous Extension of Function at Origin: Can f=1?

  • Alexx1
  • · Replies 4 ·
Replies
4

Graduate Differential with respect to area or volume

  • Sify
  • · Replies 8 ·
Replies
8

Graduate Analytical solution of an integral

  • Ashkan
  • · Replies 2 ·
Replies
2

Graduate Sequence of integrable functions on [0,1]

  • AxiomOfChoice
  • · Replies 4 ·
Replies
4

Graduate Understanding the Relation between Vector Fields, Flux, and Stokes' Theorem

  • SpY]
  • · Replies 1 ·
Replies
1

Graduate Confirming Gauss Theorem with Cylindrical Co-ordinates

  • SpY]
  • · Replies 3 ·
Replies
3

Graduate Why is dx dy = -dy dx in Differential Forms?

  • wdlang
  • · Replies 8 ·
Replies
8

Undergrad Can someone please tell me how you solve this intergal?

  • zeromodz
  • · Replies 6 ·
Replies
6

Undergrad Rearranging Two-Dimensional Gaussian Function.

  • Xtensity
  • · Replies 5 ·
Replies
5

Undergrad Interpreting the Derivative of N = I/R - D

  • musicgold
  • · Replies 5 ·
Replies
5

Graduate Where can I find the proof of Dirac's function properties?

  • abc def
  • · Replies 6 ·
Replies
6

Graduate Integrating Complicated Functions: (1-a)^s

  • adnan jahan
  • · Replies 5 ·
Replies
5

Undergrad Infinitely many infinitely small numbers.

  • JonF
  • · Replies 32 ·
2
Replies
32

Graduate Inverse Fourier Transform of f(k): Yes

  • RedX
  • · Replies 2 ·
Replies
2

Graduate What does it mean by 'implicitly depends on x' ?

  • KFC
  • · Replies 1 ·
Replies
1

Undergrad Why is division not a viable operation for vectors?

  • abrowaqas
  • · Replies 3 ·
Replies
3

High School What is the derivative of zero and why is it a special function?

  • PrakashPhy
  • · Replies 11 ·
Replies
11

Undergrad How to Prove Euler's Number Converges?

  • jetplan
  • · Replies 9 ·
Replies
9

High School Why is the derivative of cot x equal to -cosec^2 x instead of -1/tan^2?

  • tomwilliam
  • · Replies 7 ·
Replies
7

Graduate What is the Significance of ∂Ω in Partial Differential Equations?

  • Gregg
  • · Replies 2 ·
Replies
2

High School I am new to Calculus. rate of change

  • Abu Rehan
  • · Replies 2 ·
Replies
2

Graduate How does the function f(x)=0^{-x} behave for positive and complex numbers?

  • zetafunction
  • · Replies 2 ·
Replies
2

Undergrad How to solve this limit? (difference of two square rooted terms)

  • mnb96
  • · Replies 2 ·
Replies
2

Undergrad Calculating Limits for Scientists

  • LucasGB
  • · Replies 9 ·
Replies
9

Graduate Find the maximum and minimum dimension of a closed loop

  • elgen
  • · Replies 1 ·
Replies
1

Graduate How to prove definition of exponential function as limit of powers converges

  • brian44
  • · Replies 3 ·
Replies
3

Undergrad Optimization (min/max and concavity)

  • Angry Citizen
  • · Replies 4 ·
Replies
4

Undergrad Significance of the Hat Symbol in Quantum Mechanics and Classical Kinematics

  • amorrow
  • · Replies 5 ·
Replies
5

Undergrad Integrating Kinematics: Solving for Velocity with Calculus

  • PhysicsPrac
  • · Replies 2 ·
Replies
2

Undergrad How Can Simpson's Rule Be Adjusted for Functions Undefined at Boundary Points?

  • saminny
  • · Replies 1 ·
Replies
1

Graduate Can anyone come up with a Lebesgue-integrable function that

  • AxiomOfChoice
  • · Replies 8 ·
Replies
8

Graduate How Do You Integrate sin(2x) e^(sin x)?

  • biogoal123
  • · Replies 3 ·
Replies
3

Undergrad Learning Numerical Analysis for Physics Problems

  • pc2-brazil
  • · Replies 2 ·
Replies
2

Graduate Finding Anti-Derivative of sin(3u(t)) w/ Unknown u(t)

  • Jwill
  • · Replies 6 ·
Replies
6

Undergrad Is to 2nd order always related to Taylor series?

  • Rasalhague
  • · Replies 4 ·
Replies
4

Graduate Limiting a Complex Function to π

  • rondo09
  • · Replies 2 ·
Replies
2

High School I just wanted to know what is in Calculus 2?

  • Nawz
  • · Replies 1 ·
Replies
1

Undergrad How Is the Sequence 2, 0, 2/27, 0, 2/125 Formulated?

  • Alexx1
  • · Replies 6 ·
Replies
6

Graduate What Is the General Formula for the N'th Derivative of f(x)^n?

  • fs0
  • · Replies 4 ·
Replies
4

Undergrad Understanding Lagrange Multipliers and Constraint Equations

  • Skrew
  • · Replies 10 ·
Replies
10

Graduate How to Solve Improper Integral: Tips & Tricks

  • techmologist
  • · Replies 5 ·
Replies
5