Question

Given that
f(x)=-xh(x)
h(-2)=4
h'(-2)=-5

find f'(-2)

Answer 1

I know I have to do this\[-x \frac{ d }{ dx } h(x)\]

but im not getting the awnser

Answer 2

Here are the choices:
a)-6
b)-14
c)-13
d)-8
e)6

Answer 3

f(x)=-xh(x)

d/dx[ f(x) ] = d/dx[ -x*h(x) ]

d/dx[ f(x) ] = d/dx[ -x ]*h(x) + (-x)*d/dx[ h(x) ]

f ' (x) = -1*h(x) - x*h ' (x)


I'll let you finish up

Answer 4

Thank you so much! I didnt think about using the product rule!

Answer 5

you're welcome