Question

I need help applying chain rule
f(x)=(-9x^2-2)^7(-2x^2+6)^10

Answer 1

do you have a specific problem in mind?

Answer 2

I just edited it i put the problem up sorry i had submitted it too fast

Answer 3

power rule!

Answer 4

I know i have to use the power rule but ive tried it and i cant get it to work out

Answer 5

\[f(x)=(-9x^2-2)^7\times(-2x^2+6)^{10}\]
is this the problem? if so, it involves both chain rule and product rule

Answer 6

( U^n )' = ...?

Answer 7

all of the equation that i put up is all i had from the question

Answer 8

would i use chain rule or product rule first?

Answer 9

I need you post just the formula to see if how much about derivative do you know?

Answer 10

well, both, at the same time.

product rule is f'*g+g'*f
so you would have to do the chain rule to find the derivative of the first one and multiply it by the second one
and then
use the chain rule to find the derivative of the second one and multiply it by the first one

the chain rule of (-9x^2-2)^7 is
7(-9x^2-2)*-18x
does it make sense how I got to that answer?
if it does, now you try

Answer 11

whoa whoa sorry.
chain rule of (-9x^2-2)^7
is 7(-9x^2-2)^6 * -18x

Answer 12

Thank you! That helped a lot