Calculus Derivative Rules

sin'(x)=

sin'(x)=

cos(x)

cos'(x)=

-sin(x)

tan'(x)=

sec^2(x)

cot'(x)

-csc²(x)

sec'(x)

sec(x)tan(x)

csc'(x)

-csc(x)cot(x)

dy/dx of arcsin(x)

1/√(1-x²)

dy/dx of arccos(x)

-1/√(1-x²)

dy/dx of arctan(x)

1/(1+x²)

Take the derivative (d/dx) of y = ln(u)

dy/dx = 1/u * du/dx, where u is a function of x.

d/dx of y = e^u

dy/dx = e^u (du/dx)