AP Calc Derivative List

f(x)

f’(x)

sin(x)

cos(x)

cos(x)

-sin(x)

tan(x)

sec²(x)

cot(x)

-csc²(x)

sec(x)

sec(x)tan(x)

csc(x)

-csc(x)cot(x)

ln(x)

1/x

logₐ(x)

1/xlna

eˣ

eˣ

aˣ

aˣln(a)

sin⁻¹(x)

1/√1-x²

cos⁻¹(x)

-1/√1-x²

tan⁻¹(x)

1/1+x²

cot⁻¹(x)

-1/1+x²

sec⁻¹(x)

1/x √x²-1

csc⁻¹(x)

-1/x √x²-1