AP Calc AB Derivatives of Trigonometry, Function Derivative Laws and Trigonometry Identities

f’(x)=sin(x)

cos(x)

f’(x)=cos(x)

-sin(x)

f’(x)=tan(x)

sec²(x)

f’(x)=csc(x)

-csc(x)cot(x)

f’(x)=sec(x)

sec(x)tan(x)

f’(x)=cot(x)

-csc²(x)

f’(x)=a^x

a^xln(a)

f’(x)=log_ax

1/(xlna)

sin²x+cos²x

1

1+cot²x

csc²x

1+tan²x

sec²x

sin(2x)

2sin(x)cos(x)

f’(x)=sin^-1 (x)

1/√(1-x²)

f’(x)=cos^-1 (x)

-1/√(1-x²)

f’(x)=tan^-1 (x)

1/1+x² 

f’(x)=cot^-1 (x)

-1/1+x²

f’(x)=sec^-1 (x)

1/|x|√(x²-1)

f’(x)=csc^-1 (x)

-1/|x|√(x²-1)