# Chapter 3 - Differentiation - 3.3 Product and Quotient Rules - Exercises - Page 122: 43

-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, $F'(0)=\frac{f'(0)\cdot g(0)-g'(0)\cdot f(0)}{(g(0))^{2}}=\frac{(-7\cdot1)-(2\cdot 0)}{(1)^{2}}=-7$

After 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.