AP Calc AB Review

Average Value Theorem

Derivative of an inverse function

Extreme Value Theorem

If f(x) is continuous on the closed interval [a, b], then f(x) must have an absolute maximum and an absolute minimum value on [a, b].

Fundamental Theorem of Calculus 1

Intermediate Value Theorem

If f(x) is continuous on [a, b], and f(c) is any number between f(a) and f(b) (inclusive), then there exists a value x = c in [a, b] such that f(x) = f(c).

Limit definition of the derivative

Linear Approximation

Mean Value Theorem

Squeeze Theorem

Volume of revolution (disk)

Volume of revolution (doughnut)