AP Calculus BC Must Know

Derivative of (sin x)

Derivative of (sin x)

(cos x)

Derivative of (cos x)

(-sin x)

Derivative of (tan x)

(sec² x)

Derivative of (cot x)

(-cosec² x)

Derivative of (sec x)

(sec x)(tan x)

Derivative of (cosec x)

(-cosec x)(cot x)

Constant Rule

If f(x)=c, then f’(x)=0

Power Rule

If f(x)=xⁿ, then f’(x)=nx^n-1

Sum Rule

If h(x)=f(x)+g(x), then h’(x)=f’(x)+g’(x)