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

1 Answers

Best Answer

(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