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 Is a business graph exponential or polynomial if factors don't change equally?

  • jorgevf200002
  • · Replies 17 ·
Replies
17

High School Advice to obtain the domain of compound functions

  • mcastillo356
  • · Replies 2 ·
Replies
2

High School What Function Produces a Smooth Curve with Specific Symmetry and Decay?

  • DaveC426913
  • · Replies 11 ·
Replies
11

Indeterminate Integration with Integration Constant

  • mathmari
  • · Replies 6 ·
Replies
6

Graduate How do I know "what Fourier transform" to use?

  • LCSphysicist
  • · Replies 3 ·
Replies
3

High School Proving the set of subsequential limits of a bounded sequence is closed

  • Eclair_de_XII
  • · Replies 6 ·
Replies
6

Undergrad PF Integral Bee: Share Interesting/Quirky Integrals!

  • ergospherical
  • · Replies 1 ·
Replies
1

Undergrad Integration Using Hyperbolic Substitution

  • askor
  • · Replies 1 ·
Replies
1

High School The norm of the derivative of a vector

  • redtree
  • · Replies 13 ·
Replies
13

High School Convergence of a sequence of averages of a convergent sequence

  • Eclair_de_XII
  • · Replies 1 ·
Replies
1

Undergrad Why the integral of a differential does not give the function back in 2D?

  • jk22
  • · Replies 14 ·
Replies
14

Undergrad From a proof on directional derivatives

  • Delta2
  • · Replies 9 ·
Replies
9

Undergrad Dirac Delta, higher derivatives with test function

  • mishima
  • · Replies 9 ·
Replies
9

Continuity Problem: Solutions & Resources

  • DaalChawal
  • · Replies 3 ·
Replies
3

How Large Can This Integral Be?

  • DaalChawal
  • · Replies 1 ·
Replies
1

Undergrad Differentiation formula: Is this a typo?

  • maistral
  • · Replies 5 ·
Replies
5

Undergrad Finding bow draw weight function with known shape, intercepts and arrow velocity

  • newjerseyrunner
  • · Replies 1 ·
Replies
1

Graduate How to conclude a mathematical expression with the provided background

  • mcastillo356
  • · Replies 17 ·
Replies
17

High School Why Can Derivatives Be Treated Like Fractions in Solving Equations?

  • NoahsArk
  • · Replies 32 ·
2
Replies
32

Undergrad Prove series identity (Alternating reciprocal factorial sum)

  • uart
  • · Replies 4 ·
Replies
4

Is the Limit of Sin x/x=1 Proven in Elementary Calculus?

  • agapito
  • · Replies 3 ·
Replies
3

Undergrad Why is the closed line integral of g(F(x))·grad(F(x)) zero?

  • kmot
  • · Replies 8 ·
Replies
8

Graduate Understanding Integrating Lambda with l1(y) and l0(y)

  • Ad VanderVen
  • · Replies 7 ·
Replies
7

Proof that lim loga_n/n = 0 in epsilon delta language

  • arsenaler
  • · Replies 11 ·
Replies
11

Undergrad Understanding a quote about implicit differentiation

  • mcastillo356
  • · Replies 4 ·
Replies
4

Undergrad Understanding the basic concept of a Limit

  • nycmathguy
  • · Replies 26 ·
Replies
26

Graduate Optimization with integers as results

  • maistral
  • · Replies 3 ·
Replies
3

Undergrad Total vs partial derivative of a functional with respect to a parameter

  • Kashmir
  • · Replies 8 ·
Replies
8

High School What Is the Meaning of $\frac{d}{dx} \frac{dy}{dx}$?

  • askor
  • · Replies 10 ·
Replies
10

Insights Investigating Some Euler Sums

  • Svein
  • · Replies 0 ·
Replies
0

Undergrad Index and bound shift in converting a sum into integral

  • Alex_F
  • · Replies 6 ·
Replies
6

Undergrad Integral representation of incomplete gamma function

  • patric44
  • · Replies 3 ·
Replies
3

7.8.11 Find amplitude, period, PS, VS. graph 2 periods

  • karush
  • · Replies 3 ·
Replies
3

How to integrate x^2 times e^(ax) using integration by parts

  • DaalChawal
  • · Replies 2 ·
Replies
2

Shortcuts for Solving Multiple Integrals: Is There a Faster Way?

  • DaalChawal
  • · Replies 2 ·
Replies
2

Undergrad Prove Complex Inequality: $(|z_1 + z_2| + |z_1 - z_2|)(|z_1| + |z_2|)>=\sqrt{2}$

  • siddjain
  • · Replies 2 ·
Replies
2

Calculating $2\sqrt{2}$ to Infinity

  • maxkor
  • · Replies 7 ·
Replies
7

Undergrad An attempt to find the total differential of a two-variable function

  • Kashmir
  • · Replies 6 ·
Replies
6

Undergrad Definition of Limit for vector fields

  • Kashmir
  • · Replies 6 ·
Replies
6

S5.t.5 Find domain and asymptotes.

  • karush
  • · Replies 3 ·
Replies
3

How Does Exponential Growth Affect a Bacterial Population?

  • Tineeyyy
  • · Replies 1 ·
Replies
1

Definite integral involving sine and hyperbolic sine

  • MountEvariste
  • · Replies 4 ·
Replies
4

Solve $2+5\ln{x}=21$: Find $x$

  • karush
  • · Replies 5 ·
Replies
5

High School I want to smooth this function plot

  • adan
  • · Replies 15 ·
Replies
15

High School How can y be written as a function of x?

  • Ad VanderVen
  • · Replies 5 ·
Replies
5

How Does Newton's Law of Cooling Apply to a Roast Turkey?

  • Tineeyyy
  • · Replies 2 ·
Replies
2

Graduate Fourier Transform of an exponential function with sine modulation

  • tworitdash
  • · Replies 5 ·
Replies
5

Undergrad How do I find the expected value and median of a probability density function?

  • khansen9
  • · Replies 2 ·
Replies
2

Solve $2\cos^2(x)=1$: Find $\theta$

  • karush
  • · Replies 7 ·
Replies
7

Taking the derivative of an equation with a radical

  • Nate Learning
  • · Replies 4 ·
Replies
4

Undergrad How Can the Logit Function Be Modified for a Specific Output Range?

  • adan
  • · Replies 8 ·
Replies
8

Graduate Could this be a Perfect Euler Brick?

  • alpha_michi
  • · Replies 10 ·
Replies
10

Undergrad Series for coth(x/2) via Bernoulli numbers

  • Oppie
  • · Replies 2 ·
Replies
2
Replies
11

Finding distance traveled without boundary conditions

  • jwright13
  • · Replies 4 ·
Replies
4

Fourier series for cosh(x-2π) with period 2π

  • Sharya19
  • · Replies 9 ·
Replies
9

High School Is the level-set for a given function unique?

  • Eclair_de_XII
  • · Replies 2 ·
Replies
2

Particle displacement vs distance traveled with v = -t³+9t m/s

  • Shah 72
  • · Replies 2 ·
Replies
2

Undergrad Solving an Integral using Feyman's trick

  • Flamitique
  • · Replies 8 ·
Replies
8

High School Second derivative and inflection points

  • i_love_science
  • · Replies 2 ·
Replies
2

What is the definition of a negative infinity limit?

  • RubroCP
  • · Replies 1 ·
Replies
1

Undergrad How can we define a limit approaching negative infinity?

  • RubroCP
  • · Replies 11 ·
Replies
11

-apc.4.2.9 graph of f(x) to g(x)

  • karush
  • · Replies 8 ·
Replies
8

-apc.2.1.06 crosses the x-axis at one point in the interval [0,1]

  • karush
  • · Replies 4 ·
Replies
4

High School Second derivatives and inflection points

  • keroberous
  • · Replies 5 ·
Replies
5

Finding the Derivative of the Inverse Function of a Cubic Polynomial

  • karush
  • · Replies 5 ·
Replies
5

What Is the Derivative of \( y = x \sin x \)?

  • karush
  • · Replies 1 ·
Replies
1

Equation for tangent of the curve

  • juliehellowell
  • · Replies 1 ·
Replies
1

Undergrad What is the indefinite integral of Bessel function of 1 order (first k

  • AhmedHesham
  • · Replies 5 ·
Replies
5

Graduate Limits of Taylor Series: Is $\sin x=x+O(x^2)$ Correct?

  • LagrangeEuler
  • · Replies 2 ·
Replies
2

Undergrad Proving the Finite Binomial Series for k Non-Negative Integer

  • Adrenaline101
  • · Replies 9 ·
Replies
9

High School Difficulty with understanding whether 1/n converges or diverges

  • Travis Enigma
  • · Replies 11 ·
Replies
11

Undergrad Why is (N dot N) different for magnitude than for X, Y, Z components?

  • bumblebee77
  • · Replies 22 ·
Replies
22

Power and range of an electric car with drag

  • Jimmy Perdon
  • · Replies 2 ·
Replies
2

Undergrad Can Lagrange multipliers be used to find a function?

  • jk22
  • · Replies 13 ·
Replies
13

Graduate Why Is the Rayleigh Sommerfeld Integral Challenging to Compute Directly?

  • chiraganand
  • · Replies 4 ·
Replies
4

Comparing angles from three data points

  • xNICK1
  • · Replies 7 ·
Replies
7

Limit of a Sequence (Updated with progress)

  • slwarrior64
  • · Replies 2 ·
Replies
2

Why Does dy/dt Equal Zero at the Endpoint of the Minor Axis?

  • zimsam
  • · Replies 5 ·
Replies
5

Power required to sustain motion of an electric car

  • Jimmy Perdon
  • · Replies 1 ·
Replies
1

High School Extreme value theorem proof using sequential compactness

  • Eclair_de_XII
  • · Replies 14 ·
Replies
14

Undergrad Understand the delta rule increment in gradient descent

  • fog37
  • · Replies 18 ·
Replies
18

High School Proving the Existence and Value of a Derivative at a Point

  • Eclair_de_XII
  • · Replies 11 ·
Replies
11

Undergrad Partial Derivative of Convolution

  • jstop
  • · Replies 2 ·
Replies
2

Bird Flying Speed at 10m Altitude

  • Jimmy Perdon
  • · Replies 2 ·
Replies
2

Sequence Challenge: Prove $a_{50}+b_{50}>20$

  • anemone
  • · Replies 1 ·
Replies
1

Undergrad Problem with function approximation

  • boniphacy
  • · Replies 12 ·
Replies
12

Undergrad Is there a way to simplify this integral involving an exponential function?

  • BillKet
  • · Replies 6 ·
Replies
6

Undergrad Why 0.999... equals 1: limit as a number, not a process

  • Greg Bernhardt
  • · Replies 14 ·
Replies
14

Undergrad Integral involving exponential

  • stevendaryl
  • · Replies 9 ·
Replies
9

High School Integrating a function over the boundary of the first quadrant

  • docnet
  • · Replies 1 ·
Replies
1

Undergrad What is the true meaning of a tangent in mathematics?

  • Greg Bernhardt
  • · Replies 1 ·
Replies
1

Deriving the integral of exp((x₁² + x₂² + ... + xₐ²)^(r/2))

  • Another1
  • · Replies 1 ·
Replies
1

Linear combination of sine and cosine function

  • anemone
  • · Replies 3 ·
Replies
3

Insights Computing the Riemann Zeta Function Using Fourier Series

  • stevendaryl
  • · Replies 5 ·
Replies
5

Undergrad Could this function be approximated by Dirac delta function?

  • Haorong Wu
  • · Replies 2 ·
Replies
2
Replies
5

High School Why 0^0 is undefined in real analysis

  • bhobba
  • · Replies 14 ·
Replies
14

Graduate Difficulties with derivative of a vector [Landau Textbook]

  • GrimGuy
  • · Replies 3 ·
Replies
3

High School Simple Derivation Of Euler's Formula And Applications

  • bhobba
  • · Replies 2 ·
Replies
2