Calculus Forum

Post thread
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.
Undergrad Vector and Plane Relationship in 3D
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad Partial differentiation and explicit functions
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Infinitesimals' rates of approaching 0
  • · Replies 6 ·
Replies
6
Views
1K
Graduate What is the unique special function in this integral problem?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Visualizing the Fourier transform using the center of mass concept
  • · Replies 2 ·
Replies
2
Views
6K
Undergrad Proof of 1/(x^2) Not Having Limit at 0
  • · Replies 5 ·
Replies
5
Views
2K
MHB Indefinite integral in division form
  • · Replies 1 ·
Replies
1
Views
2K
MHB Optimization - Lagrange multipliers : minimum cost/maximum production
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Is this business graph an exponential or polynomial function?
  • · Replies 17 ·
Replies
17
Views
3K
High School What Function Produces a Smooth Curve with Specific Symmetry and Decay?
  • · Replies 11 ·
Replies
11
Views
2K
MHB Indeterminate Integration with Integration Constant
  • · Replies 6 ·
Replies
6
Views
1K
How do I know "what Fourier transform" to use?
  • · Replies 3 ·
Replies
3
Views
2K
High School Question about set containing subsequential limits of bounded sequence
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Integration Using Hyperbolic Substitution
  • · Replies 1 ·
Replies
1
Views
1K
High School The norm of the derivative of a vector
  • · Replies 13 ·
Replies
13
Views
2K
High School Convergence of a sequence of averages of a convergent sequence
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Why the integral of a differential does not give the function back in 2D?
  • · Replies 14 ·
Replies
14
Views
2K
Undergrad From a proof on directional derivatives
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Dirac Delta, higher derivatives with test function
  • · Replies 9 ·
Replies
9
Views
4K
MHB Continuity Problem: Solutions & Resources
  • · Replies 3 ·
Replies
3
Views
1K
MHB How Large Can This Integral Be?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Differentiation formula: Is this a typo?
  • · Replies 5 ·
Replies
5
Views
1K
How to conclude a mathematical expression with the provided background
  • · Replies 17 ·
Replies
17
Views
2K
High School Why Can Derivatives Be Treated Like Fractions in Solving Equations?
  • · Replies 32 ·
2
Replies
32
Views
5K
MHB Is the Limit of Sin x/x=1 Proven in Elementary Calculus?
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Why is this closed line integral zero?
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Understanding Integrating Lambda with l1(y) and l0(y)
  • · Replies 7 ·
Replies
7
Views
1K
MHB Proof that lim loga_n/n = 0 in epsilon delta language
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Understanding the basic concept of a Limit
  • · Replies 26 ·
Replies
26
Views
2K
Graduate Optimization with integers as results
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Basic question about variational calculus
  • · Replies 8 ·
Replies
8
Views
2K
High School What Is the Meaning of $\frac{d}{dx} \frac{dy}{dx}$?
  • · Replies 10 ·
Replies
10
Views
1K
Undergrad Index and bound shift in converting a sum into integral
  • · Replies 6 ·
Replies
6
Views
1K
Undergrad Integral representation of incomplete gamma function
  • · Replies 3 ·
Replies
3
Views
2K
MHB Integration Doubt: Answers & Solutions
  • · Replies 2 ·
Replies
2
Views
1K
MHB Shortcuts for Solving Multiple Integrals: Is There a Faster Way?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Prove Complex Inequality: $(|z_1 + z_2| + |z_1 - z_2|)(|z_1| + |z_2|)>=\sqrt{2}$
  • · Replies 2 ·
Replies
2
Views
1K
MHB Calculating $2\sqrt{2}$ to Infinity
  • · Replies 7 ·
Replies
7
Views
1K
Undergrad An attempt to find the total differential of a two-variable function
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Definition of Limit for vector fields
  • · Replies 6 ·
Replies
6
Views
2K
MHB How Does Exponential Growth Affect a Bacterial Population?
  • · Replies 1 ·
Replies
1
Views
1K
High School I want to smooth this function plot
  • · Replies 15 ·
Replies
15
Views
2K
High School How can y be written as a function of x?
  • · Replies 5 ·
Replies
5
Views
1K
MHB How Does Newton's Law of Cooling Apply to a Roast Turkey?
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Fourier Transform of an exponential function with sine modulation
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad How do I find the expected value and median of a probability density function?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Don't solving this problem, just need some info.
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad How Can the Logit Function Be Modified for a Specific Output Range?
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Could this be a Perfect Euler Brick?
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Series for coth(x/2) via Bernoulli numbers
  • · Replies 2 ·
Replies
2
Views
2K
MHB -apc.3.3.01 Find the equation of the curve that passes through the point (1,2)
  • · Replies 11 ·
Replies
11
Views
2K
MHB Integration Help: Struggling with Distance Qn
  • · Replies 4 ·
Replies
4
Views
1K
High School Is the level-set for a given function unique?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Solving an Integral using Feyman's trick
  • · Replies 8 ·
Replies
8
Views
2K
High School Second derivative and inflection points
  • · Replies 2 ·
Replies
2
Views
3K
MHB What is the definition of a negative infinity limit?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad How can we define a limit approaching negative infinity?
  • · Replies 11 ·
Replies
11
Views
2K
MHB -apc.4.2.9 graph of f(x) to g(x)
  • · Replies 8 ·
Replies
8
Views
2K
MHB -apc.2.1.06 crosses the x-axis at one point in the interval [0,1]
  • · Replies 4 ·
Replies
4
Views
1K
High School Second derivatives and inflection points
  • · Replies 5 ·
Replies
5
Views
3K
MHB Finding the Derivative of the Inverse Function of a Cubic Polynomial
  • · Replies 5 ·
Replies
5
Views
2K
MHB What Is the Derivative of \( y = x \sin x \)?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad What is the indefinite integral of Bessel function of 1 order (first k
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Limits of Taylor Series: Is $\sin x=x+O(x^2)$ Correct?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Proving the Finite Binomial Series for k Non-Negative Integer
  • · Replies 9 ·
Replies
9
Views
2K
High School Difficulty with understanding whether 1/n converges or diverges
  • · Replies 11 ·
Replies
11
Views
5K
Undergrad Why is (N dot N) different for magnitude than for X, Y, Z components?
  • · Replies 22 ·
Replies
22
Views
2K
MHB Does anyone know the answer (s) to this?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Can Lagrange multipliers be used to find a function?
  • · Replies 13 ·
Replies
13
Views
2K
Graduate Why Is the Rayleigh Sommerfeld Integral Challenging to Compute Directly?
  • · Replies 4 ·
Replies
4
Views
3K
MHB Optimizing Profit with Three Points: A Scientific Approach
  • · Replies 7 ·
Replies
7
Views
1K
MHB Limit of a Sequence (Updated with progress)
  • · Replies 2 ·
Replies
2
Views
1K
MHB Why Does dy/dt Equal Zero at the Endpoint of the Minor Axis?
  • · Replies 5 ·
Replies
5
Views
1K
MHB Does anyone know the answer to this?
  • · Replies 1 ·
Replies
1
Views
945
High School Is this a valid proof for the Extreme Value Theorem?
  • · Replies 14 ·
Replies
14
Views
2K
Undergrad Understand the delta rule increment in gradient descent
  • · Replies 18 ·
Replies
18
Views
3K
High School Proving the Existence and Value of a Derivative at a Point
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Partial Derivative of Convolution
  • · Replies 2 ·
Replies
2
Views
3K
MHB Bird Flying Speed at 10m Altitude
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Problem with function approximation
  • · Replies 12 ·
Replies
12
Views
1K
Undergrad Is there a way to simplify this integral involving an exponential function?
  • · Replies 6 ·
Replies
6
Views
1K
Undergrad Integral involving exponential
  • · Replies 9 ·
Replies
9
Views
2K
MHB How can I integral this problem?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Could this function be approximated by Dirac delta function?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Is the Limit of 1/(x^2 - 9) as x Approaches -3 from the Left Positive Infinity?
  • · Replies 5 ·
Replies
5
Views
2K
High School Learn 0^0 w/ Young Aussie of the Year: Calculus & Real Analysis Explained
  • · Replies 14 ·
Replies
14
Views
2K
Graduate Difficulties with derivative of a vector [Landau Textbook]
  • · Replies 3 ·
Replies
3
Views
1K
High School Simple Derivation Of Euler's Formula And Applications
  • · Replies 2 ·
Replies
2
Views
2K
High School Are continuous functions on sequentially compact sets u-continuous?
  • · Replies 18 ·
Replies
18
Views
3K
Undergrad Minimization using Lagrange multipliers
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Have you ever used "symbolic logic" to help you learn calculus?
  • · Replies 5 ·
Replies
5
Views
2K
High School What Does "Curl" Mean in Vector Fields?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Parametric Equation and Euclidean Distance
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Gaussian integral by differentiating under the integral sign
  • · Replies 19 ·
Replies
19
Views
4K
MHB What is the Limit of (3x)/(x-2) as x Approaches 2 from the Left?
  • · Replies 5 ·
Replies
5
Views
1K
MHB Is the Limit of 5/(x^2 - 4) as x Approaches 2 from the Right Positive Infinity?
  • · Replies 5 ·
Replies
5
Views
1K
MHB Does the function have a zero in the given interval?
  • · Replies 9 ·
Replies
9
Views
1K
MHB Limit of Trigonometric Function....1
  • · Replies 16 ·
Replies
16
Views
2K
MHB What is the Limit of (5x)/(100 - x) as x Approaches 100 from the Left?
  • · Replies 4 ·
Replies
4
Views
1K
MHB What is the Epsilon-Delta Method for Proving Limits?
  • · Replies 3 ·
Replies
3
Views
2K