Calculus Forum

High School Finding Derivatives: Power Rule vs Chain Rule

Graduate How Does the Buckingham Pi Theorem Apply to Homogeneous Functions in Physics?

Undergrad How to Solve the Integral of cot(x)/sin(x)?

Undergrad Solve Calculus Problem: Integrate √tan(x)

Undergrad Power series for ln(x) centered at x=1

Undergrad Why Dropping the Sqrt{1 + 1/x^4} dx Matters for Surface Area

Undergrad Partial integration of gradient vector to find potential field

High School Best way to lean Calculus on your own

Graduate Solving a nonlinear system with sine terms

Undergrad U substitution for differentiation?

Graduate Proving compact iff bicompact in metric spaces

Graduate Integral Calculation: Analytical Calc of k_0 W L J_0

Undergrad Double integral with absolute value of x-y

Graduate Solving ln(ln(ln(ln(x+4)))) = e

Graduate Proof That $\lim_{n \rightarrow \infty} \frac{n}{(n!)^\frac{1}{n}} = e$

Graduate For all the smart Mathematicians

Graduate Maximize Area of Triangle APB with Line y=mx+b Intersecting Parabola y=x^2

High School Randomness of Computer & Calculator

High School Understanding 2nd Derivative Max/Min Points

Graduate How Does the Mapping w = 1/z Transform Regions in the Complex Plane?

High School How to Use Different Logarithm Bases on a TI-86?

Undergrad Finding the positive number that minimizes sum with its reciprocal

Undergrad How Do I Prove Continuity for f(x)=x^2 at x=3 and for f(x,y)=1/(xy)?

Undergrad Find a positive number minimizing the sum of itself and its reciprocal

Graduate Is Stokes Theorem Easier Than It Seems?

Undergrad Interpretation of integral as area?

Graduate N-dimensional Tayor's Theorem and Dynamics

Graduate Multivariable Calculus: Conceptual Question on Total Change in a Function

Undergrad Problem with a limit as infinity

Undergrad Minimize surface area of equilateral triangular prism with 400 cm³ volume

Undergrad Can I use quotient rule instead of chain rule for rational functions?

Undergrad Solve Problem With L'Hospital's Rule

Graduate Using Stokes' theorem with a hemispherical surface in xyz space

Graduate Evaluating a Vector Field Through a Surface with the Divergence Theorem

High School Best Introduction to Calculus Book

Undergrad Proving Limit Existence: Squeeze Theorem

Graduate Divergence and Stoke's Theorems in 2D

Graduate What's the area of this volume?

Undergrad Rationale behind seperation and integration

Graduate Prove harmonic conjugates u and v are constant in domain D

Graduate How can I find the value of this difficult sum using lagrange interpolation?

Graduate How Do You Solve These Multivariable Calculus Problems Related to a Helix?

Undergrad Introduction to Complex Analysis

Undergrad Calculating the Limit of (1+1/n)^n as n Approaches Infinity

Undergrad Can Calculus Prove I Will Reach the End of a Room If I Start Walking?

Undergrad How to Find the Equation of a Plane at a 60 Degree Angle?

High School Can someone tell me the essence of derivative?

Graduate How can images dimention be larger than the domains?

Undergrad Vector Valued Function vs Vector Field

Undergrad What Are Good Online Resources for Learning Vector Calculus?

Undergrad How Do You Determine the Least Upper Bounds of N and P in Repeating Decimals?

Undergrad Understanding Divergence and Curl on a 3D Surface

Graduate Why Apply Analytic Continuation in Complex Analysis?

Undergrad Why are differentials used in math?

Undergrad Calculating Volume by Cross-Sections: A Riemann Sums Approach

Graduate Can you prove the Complex Polynomial Theorem?

Undergrad What is the Antiderivative of Sqrt(1-x^2)?

Undergrad How Do You Derive y=2^x Using the Definition of Derivative?

Graduate How to Maximize ln x + ln y + 3 ln z on a Sphere Using Lagrange Multipliers?

Undergrad Finding a rigorous single-variable calculus textbook

Undergrad Understanding Line Integrals in 3D Space

Undergrad Advice on Advanced Calculus Textbooks for Independent Study

Graduate How can we effectively introduce logarithms?

Graduate Can Limits Determine Specific Values in Complex Mathematical Functions?

Undergrad Is calculus 2 really that much harder than calculus 1?

Graduate What is the Laplace Transform of a Gaussian Distribution?

Undergrad Why does the gradient point in the direction of greatest change?

Graduate Rudin vs Lang: Which is the Thorough More Rigorous Analysis Book?

Undergrad Instantaneous Rate Word Problems

Undergrad What is the Limit of the abc-Formula as a approaches 0?

Undergrad Solving Definite Integral Problem: Average Velocity of Ball Dropped from Rest

Undergrad Max Value of f(x) for Positive x

Undergrad Solving cos(theta)*sin(theta) = constant for theta

Undergrad Work to move a particle and integral of 5^√x

Undergrad Do you need to sketch to determine region type for double integrals?

Undergrad What is the 50th derivative of F(x)=Cos(2x)?

Undergrad L'Hopital's rule graph problem

Undergrad Newton-Raphson method for y=1/f(x)

Undergrad How Can the Woman Reach the Opposite Side of the Lake Most Quickly?

Graduate What is the equation of a plane parallel to a line and a point not on that line?

Undergrad Mass, second moment and radius of gyration for a doughnut yoyo

Undergrad What is the derivative of 4x(16-x^2)^0.5?

High School A Simple yet complicated question.

Undergrad Integrate exp(-x^2), dx

Undergrad How to Integrate 1/(1+2x+x^2) dx Without Getting Stumped

Undergrad Solving Various Calc Test Questions - Get Answers Here

Undergrad Finding a limit through algebra

High School Can you give me the formula for calculating its

Undergrad Having difficulty setting up a Diff Eq for this situation

Graduate Simultaneous Differential Equations

Undergrad Fitting a Sine Curve to Two Points

Undergrad Finding Points of Intersection and Proving Parallelism with Vectors

Undergrad How Do You Integrate \(\sin(\sqrt{x})\) with Trig Substitution?

Undergrad Finding Fourier Series for f(x)=2x+e^x-e^-x (-1< x >1)

Graduate Deriving Lagrange's trigonometric identity for sum of cosines

Undergrad Solving related rates and optimization problems with spheres, boats, and sectors

Graduate Proof of Limit: |Rez - Rez0|<E Whenever 0<|z-z0|<D

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Graduate (Spivak) - a function with strange behaviour.

Undergrad Algebraic division step in quotient rule derivation