AP Calculus | Rules & Derivatives of Trig Functions

Don’t forget to use the

The derivative of Sin(x)

Cos(x)

The derivative of Cos(x)

-Sin(x)

The derivative of Tan(x)

Sec²(x)

The derivative of Cot(x)

-Csc²(x)

The derivative of Sec(x)

Sec(x)Tan(x)

The derivative of Csc(x)

-Csc(x)Cot(x)

The derivative of e^x

e^x

The derivative of a^x

a^xlna

The derivative of loga(x)

¹⁄₍ₓ₎ₗₙ₍ₐ₎

The derivative of ln(x)

¹⁄ₓ

The derivative of a constant

0

The derivative of x^n

nx^n-1

Product Rule | h(x) = (f)(g), h’(x) = ?

h'(x) = f'g + fg’

Quotient Rule | h(x)=f/g, h’(x) = ?

f'g - fg'

h'(x) = ————————-

g²