Question

HELP PLEASE

Answer 1

\(\large\color{black}{ \displaystyle f(x)=-\frac{9}{x}}\) is same as saying,

\(\large\color{black}{ \displaystyle f(x)=-9x^{-1}}\)

Answer 2

use the power rule,

Answer 3

and after differentiating, plug in -4 for x

Answer 4

The power rule says, that for any function \(\large\color{black}{ \displaystyle f(x)={\color{blue}{\rm }}{\tiny~}x^{\color{red}{\rm n}}}\),
the derivative function is going to be \(\large\color{black}{ \displaystyle f'(x)={\color{blue}{\rm }}{\tiny~}{\color{red}{\rm n}}\cdot x^{\color{red}{\rm n-1}}}\)

Answer 5

Same way, with a coefficient c:

For any function \(\large\color{black}{ \displaystyle f(x)={\color{blue}{\rm c}}{\tiny~}x^{\color{red}{\rm n}}}\),
the derivative function is \(\large\color{black}{ \displaystyle f(x)={\color{blue}{\rm c}}{\tiny~}\cdot{\color{red}{\rm n}}\cdot x^{\color{red}{\rm n-1}}}\)

Answer 6

well, @pleasehelpmee left.

Answer 7

when n is not 0

Answer 8

maybe connection broke.... he had this kind of thing 1 or 2 questions ago.