Derivatives

Sin x

Cos x

Sec x

Sec x tan x

Tan x

Sec^2 x

Cos x

-sin x

Csc x

-csc x cot x

Cot x

-csc^2 x

arcsin x

1/√(1-x^2)

arccos x

-1/√(1-x^2)

arctan x

1/(1+x^2)

arcsec x

1/|x|√x^2-1

arccsc x

-1/|x|√x^2-1

arccot x

-1/(1+x^2)

e^x

e^x

ln x

1/x

a^x

a^xlna

logva(x)

1/xlna

f^-1(x)

1/f'(f^-1(x))

Chain rule

f'(g(x))g'(x)

Product Rule

f'(x)g(x)+f(x)g'(x)

Quotient rule

g(x)f'(x)-f(x)g'(x)/g(x)^2

g'(x) (when g(x) is the inverse of f(x))

1/f'(g(x))