## anonymous 4 years ago Stuck on this question. Consider the function h(x) for which h(5)=-9 and h'(5)=7. Find f'(5) for the function f(x)=h(x)/x.

1. anonymous

$f(x)=\frac{h(x)}{x}$ $f'(x)=\frac{xh'(x)-h(x)}{x^2}$ plug in 5 and see what you get

2. anonymous

I got 3.2 but it says it is wrong did I plug in wrong?

3. PhoenixFire

$f^{\prime}(5)={5h^{\prime}(5)-h(5) \over 5^2}={{(5)(7)-(-9)} \over 25}={35+9 \over 25}={44 \over 25}=1.76$

4. anonymous

ahhh I see what I did wrong ty!