BC Calculus Prep: Essential Formulas and Theorems

Flashcards covering the essential derivative and integral formulas, theorems, and series tests required for the BC Calculus AP Exam transcript.

Taylor Series centered at n

A representation of a function as an infinite sum of terms calculated from the values of its derivatives at a point $n$.

Lagrange Error Bound

A formula used to determine the maximum possible error for a Taylor polynomial approximation.

“Building Block” Maclaurin Series

Essential series centered at $0$ to memorize, including $e^x$, $\sin(x)$, $\cos(x)$, and $\frac{1}{1-x}$.

Arc Length

A formula used to calculate the length of a curve for both normal functions and parametric equations.