Derivatve Rules & Naming Conventions

d/dx(sin x)

cos x

d/dx(cos x)

-sin x

d/dx(tan x)

sec²x

d/dx(sec x)

sec x tan x

d/dx(cot x)

-csc²x

d/dx(csc x)

-csc x cot x

d/dx(bˣ)

bˣ * ln b

d/dx(eˣ)

eˣ

d/dx(logₐx)

1
———-
x * ln a

d/dx(ln x)

1
—
x

lagrange notation

f’(x)

Libneits notation

dy
—-
dx