AP calculus AB important rules and equations

sin x/cos x

tanx

1/tan x = cos x/sin x

cotx

1/sin x

cscx

1/cos x

secx

Quotient Identity (remember can be divided by Cos or Sin)

cos^2 x + sin^2 x = 1

d/dx [tan x]

sec^2 x

d/dx [cot x]

-csc^2 x

d/dx [sec x]

sec x tan x

d/dx [csc x]

-csc x cot x

Limit Definition of a Derivative at a point

lim h→0 [f(x+h) - f(x)]/h

General derivative Limit Definition

Definition of a vertical tangent line

ln(1)

0

ln(aⁿ)

nlna

ln(ab)

lna + lnb

ln(a/b)

lna - lnb