## anonymous 3 years ago PLEASE ANSWER: f(x)= -h(x)- ((x)/(h(x))) h(-2) = -1 h ' (-2) = -1 find f ' (-2).

1. freckles

Hi! So do you know how to find f' first?

2. freckles

You need to differentiate both sides of: $f(x)=-h(x)-\frac{x}{h(x)}$

3. freckles

$(f(x))'=f'(x)$ $(-h(x)-\frac{x}{h(x)})'=(-h(x))'-(\frac{x}{h(x)})'=-(h(x))'-(\frac{x}{h(x)})'$ I used the constant multiple rule to bring out -1 and just look at differentiating h(x) Now I will leave the quotient rule to you: Your job is to find: $(\frac{x}{h(x)})'$

4. freckles

Let me know what you get. Just post here.

5. myininaya

Did you understand what freckles is asking?

6. anonymous

yes

7. anonymous