Derivatives of Functions

d/dx sin x

cos x

d/dx tan x

sec² x

d/dx sec x

sec(x) tan(x)

d/dx cos x

-sin x

d/dx cot x

-csc² x

d/dx csc x

-csc(x) cot(x)

d/dx sin^-1 u

1/(1-u²)^1/2

d/dx tan^-1 u

1/ 1+u²

d/dx sec^-1 u

1/ l u l * (u²-1)^1/2

d/dx e^u

e^u * du/dx

d/dx a^u

a^u * ln(a) * du/dx

d/dx ln(u)

1/u * du/dx

d/dx log_a u

1/(u ln a ) * du/dx