Answer
$$ H'(2)= -12+45=33.$$
Work Step by Step
Given $ H(x)=f(x)g(x)$, then we have $ H'(x)=f'(x)g(x)+f(x)g'(x)$ and hence
$$ H'(2)=f'(2)g(2)+f(2)g'(2)=-3(4)+5(9)=-12+45=33.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - Chapter Review Exercises - Page 164: 54
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
