The Rules of Differentiation

Constant Rule

If and a is a real number, then
.

Constant Multiple Rule

If and a is a real number, then
.

Power Rule

If and n is a real number, then
.

Product Rule

If f and g are differentiable at x, then

Quotient Rule

If f is the quotient g(x)/h(x) and h(x) ≠ 0, then

Chain Rule

If g is differentiable at x and f is differentiable at g(x), then