Suppose that f(5) = 2, f'(5) = 3, g(5) = -6, and g'(5) = 1. Find the following values: (fg)'(5)

enseignement20

enseignement20

Open question

2022-08-20

Suppose that f(5) = 2, f'(5) = 3, g(5) = -6, and g'(5) = 1. Find the following values:
(fg)'(5)

Answer & Explanation

Dabbaghnn

Dabbaghnn

Beginner2022-08-21Added 6 answers

(1)Rewrite the function as a product.
(fg)(x)=f(x)g(x)
(2)Find the derivative using the product rule.
(fg)'(x)=f'(x)g(x)+f(x)g'(x)
(3)Substitute x=5.
(fg)'(5)=f'(5)g(5)+f(5)g'(5)
(4)Substitute f'(5)=3, g(5)=-6, f(5)=2, and g'(5)=1.
=3(-6)+2(1)
(5)Simplify
=-16

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?