Quotient Rule Finding the derivative of a function using the Quotient Rule Andrew Conway

Definition The Quotient Rule is defined as the derivative of a quotient is the denominator times the derivative of the number minus the numerator times the derivative of the denominator, all divided by the square of the denominator. In equation form this would be-

Rules/Steps Step One- set up the derivative using the quotient rule Step Two- Find the derivative of the numerator (f(x)) Step Three- Find the derivative of the denominator (g(x)) Step Four- Simplify *In some occasions other rules such as the power rule or chain rule must be used in coordination with the quotient rule

Example One Equation- Step One- input equation into the correct format

Example One (cont.) Step Two- derivative of numerator (f(x)) Step Three- derivative of denominator (g(x))

Example One (cont.) Step Four- simplify

Example Two Step One- Step Two- Step Three-

Example Two (cont.) Step Four

Practice #1

Answer

Practice #2

Answer