Basic Derivatives

Assume all of the terms are being taken by their derivative!!

xⁿ

xⁿ

nx^n-1

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

e^x

e^x

sin^-1 u/a

1/(a²-u²)^1/2 du/dx

cos^-1 x

-1/(1-x²)^1/2

tan^-1 u/a

a/a²+u² du/dx

cot^-1 x

-1/1+x²

sec^-1 u/a

a/|u|(u²-a²)^1/2 du/dx

csc^-1 x

-1/|x|(x²-1)^1/2

a^u

a^u ln a du/dx

log_a x

1/x ln a