How do you find the derivative of the product of two functionsthat are differentiable at a point?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 3E
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How do you find the derivative of the product of two functions
that are differentiable at a point?

Expert Solution
Step 1

Consider the two functions f(x) and g(x).

f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents the derivative of product of two function, f'(x) represents the derivative of f(x) and g'(x) represents the derivative of g(x).

 

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