Derivative Formulas

Constant Rule

Power Rule

Product Rule

Chain Rule

Constant Multiple Rule

Quotient Rule

Limit Definition of a Derivative (Limit of the Difference Quotient )

Derivative of an Inverse of a Function
If f ^-1(x) is the inverse of f(x), then
 

Parametric Form of the Derivative
x = f(t) and y = g(t)

ii) the second derivative,

Polar Coordinates and Equations
r = f(θ)

where x = r cos θ and y = r sin θ