Question

If f(x) = (5 x + 8) ^ { -2 }, find f'( 3 ).

Answer 1

use the chain-rule I'd think

Answer 2

\(\Large\bf\color{royalblue}{\text{Welcome to OpenStudy! :)}}\)
Applebanana, hah, I like that name :3

Answer 3

\[\Large\bf\sf f(x)\quad=\quad (5x+8)^{-2}\]Start by applying the `power rule` to the -2 exponent.
Then chain rule.

Answer 4

thanks :D

Answer 5

Confused on anything?
Remember than when you apply the Power Rule to `negative numbers`, they get LARGER in the negative direction. (More negative)

So -2 will change to -3, NOT -1.
Just something to keep in mind :3