Derivatives

xⁿ

nx^n-1

ln x

1 / x

e^x

e^x

a^x

a^x ln a

sin x

cos x

cos x

-sin x

tan x

sec²x

csc x

-csc x cot x

sec x

sec x tan x

cot x

-csc² x

arcsin x

1 / root (1-x²)

arccos x

-1 / root (1-x²)

arctan x

1 / 1+x²

arccsc x

-1 / |x| root (x²-1)

arcsec x

1 / |x| root (x²-1)

arccot x

-1 / 1+x²

f(x) * g(x)

f¹(x)g(x) + f(x)g¹(x)

f(x) / g(x)

f¹(x)g(x) - f(x)g¹(x) / [g(x)]²

f(g(x))

f¹(g(x)) * g¹(x)