AP Calculus BC

Stuff you MUST know

d/dx (xⁿ)

nx^n-1

d/dx (sinx)

cos x

d/dx (cos x)

-sin x

d/dx (tan x)

(sec x)²

d/dx (cot x)

-(csc x)²

d/dx (sec x)

sec x tan x

d/dx (csc x)

-csc x cot x

d/dx (In u)

(1/u)(du/dx)

d/dx (e^u)

(e^u) (du/dx)

d/dx (sin^-1u)

(-1)/(1-u²)^0.5(du/dx)

d/dx (cos^-1x)

(-1)/(1-x²)^0.5

d/dx (tan^-1x)

1/(1+x²)

d/dx (cot^-1x)

(-1)/(1+x²)

d/dx (a^x)

a^x In(a)

d/dx (log_a x)

1/(x In(a))