the base value in lig function is

y = log(a) x
y' =

d/dx e^2x

d/dx (sin u) =

d/dx (sin tan x) =

d/dx (sin x tan x) =

d/dx e^f(x) =

d/dx a^f(x) =

d/dx ln( f(x) ) = f'(x) / f(x)

ln(sin x. cos x) = ln(sin x) + ln(cos x)

ln e^sin x =

d/dx x^n

Dx^-1 means

d/dx x^n

∫ x^n =

choose the right one

∫f^n f' dx = f^n+1 / n+1 + c