Answer
-7
Work Step by Step
Write $ F(x)=\frac{f(x)}{g(x)}$, where $ f(x)=x^{9}+x^{8}+4x^{5}-7x $ and $ g(x)=x^{4}-3x^{2}+2x+1$.
Then, $ F'(0)=\frac{f'(0)\cdot g(0)-g'(0)\cdot f(0)}{(g(0))^{2}}=\frac{(-7\cdot1)-(2\cdot 0)}{(1)^{2}}=-7$
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 - 3.3 Product and Quotient Rules - Exercises - Page 122: 43
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