Question

PLEASE ANSWER: f(x)= -h(x)- ((x)/(h(x)))
h(-2) = -1
h ' (-2) = -1

find f ' (-2).

Answer 1

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

Answer 2

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

Answer 3

\[(f(x))'=f'(x)\]
\[(-h(x)-\frac{x}{h(x)})'=(-h(x))'-(\frac{x}{h(x)})'=-(h(x))'-(\frac{x}{h(x)})'\]
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:
\[(\frac{x}{h(x)})'\]

Answer 4

Let me know what you get. Just post here.

Answer 5

Did you understand what freckles is asking?

Answer 6

yes

Answer 7

i got the answer thanks!

Answer 8

Great! :)