Product Rule of Differentiation

Product Rule of Differentiation

Product Rule of Differentiation 150 150 SchoolTutoring Academy

The product rule of differentiation is a rule for differentiating problems where one function is multiplied by another function. According to this rule, first function times the derivative of second function is added to second function times the derivative of first function.

If h and g are two functions of x, then the derivative of the product of h and g is given as:

 

 

or,

(h(x)g(x))’ = h(x)g’(x) + g(x)h’(x)

Example 1

 

 

 

 

 

 

 

Example 2