Question

Derivative question:
Give that f(x)=x^8h(x)
h(-1)=4
h(-1)=7


Calculate f'(-1)= ?

Answer 1

is h(x) supposed to be another function? cuz it is returning two values for the same X, which is not applicable for fuctions

Answer 2

I think he made a typo, one should be h'(-1)

Answer 3

yes sorry...for the typo

Answer 4

anyways, use this to solve:

f'(x) = 8x^7 * h(x) + h'(x)*x^8

Answer 5

oh, that is better then!
chain rule rules

Answer 6

so just plug in (4) and (7) after chain rule right?

Answer 7

ye

Answer 8

f'(x)= 8x^7
f'(-1)=8(-1)^7