Quotient rule

Given two differentiable functions, the quotient rule can be used to determine the derivative of the ratio of the two functions, . This can also be written as . The quotient rule is as follows:

Example

Given:

f(x)  =  ex
g(x)  =  3x3

Plug f(x) and g(x) into the quotient rule formula:

   = 
   = 
     = 
     = 
     = 

See also derivatives, product rule, chain rule.