AP CALC BC FORMULAS :)

pray and pray.

Definition of the derivative

Alternative definition of the derivative

Definition of continuity

Average rate of change of f(x) on [a,b] =

Average value of f(x) on [a,b] =

Rolle’s Theorem

Mean Value Theorem

Intermediate Value Theorem

Definition of a Critical Number

First Derivative Test

Second Derivative Test

Definition of Concavity

Test for Concavity

Definition of an Inflection Point

First Fundamental Theorem of Calculus

Second Fundamental Theorem of Calculus

Second Fundamental Theorem of Calculus (Chain Rule Vers.)

Volume around a horizontal axis by discs

Volume around a horizontal axis by washers

Volume around a horizontal axis by shells

Volume by cross sections taken perpendicular to the x-axis

Integration by parts

Length of arc for functions

Definition of e

Definition of absolute value

Displacement

Total distance

Velocity

Speed

Acceleration

Logistic growth

In polar curves,

Slope of a polar curve

Area inside a polar curve

whatever this one is called

Position vector

Velocity vector

Acceleration vector

Speed (or magnitude of velociy vector)

Distance traveled from t=a to t=b (or length of arc of a parametric graph) is

nth term test for Divergence

Geometric Series Test

Telescoping Series

p-series Test

Alternating Series Test

Integral Test

Direct Comparison

Limit Comparison