Common Derivatives and Integrals Cheat Sheet

The Common Derivatives and Integrals Cheat Sheet is a reference tool that provides a list of commonly used derivatives and integrals in calculus. It is used as a quick and handy resource for students and professionals to easily find and apply these mathematical formulas.

The common derivatives and integrals cheat sheet is typically created and maintained by students, teachers, or online resources for quick reference in calculus. It is not officially filed by any specific entity or organization.

FAQ

Q: What is a derivative?
A: A derivative measures the rate at which a function changes.

Q: What is an integral?
A: An integral calculates the area under a curve.

Q: What is the power rule for derivatives?
A: The power rule states that the derivative of x^n is n*x^(n-1).

Q: What is the chain rule?
A: The chain rule allows us to find the derivative of a composite function.

Q: What is the product rule?
A: The product rule allows us to find the derivative of a product of two functions.

Q: What is the quotient rule?
A: The quotient rule allows us to find the derivative of a quotient of two functions.

Q: What is the fundamental theorem of calculus?
A: The fundamental theorem of calculus relates derivatives and integrals.

Q: What is the definite integral?
A: The definite integral calculates the area under a curve between two specific points.

Q: What is the indefinite integral?
A: The indefinite integral finds the antiderivative of a function.

Q: What is the reverse power rule?
A: The reverse power rule allows us to find the integral of x^n.