Find the derivative of f(x) = negative 9 divided by x at x = -4. (6 points) 4 divided by 9 16 divided by 9 9 divided by 16 9 div

Question

3 years ago

9

ided by 4

2 answers:

givi [52] · Answer 1 · 2022-06-29T23:57:33+03:00

givi [52]3 years ago

7 0

Answer:

9/16

Step-by-step explanation:

Len [333] · Answer 2 · 2022-06-29T22:26:40+03:00

Len [333]3 years ago

5 0

Answer:

9/16

Step-by-step explanation:

$f(x)=-\frac{9}{x}$

$f(x)=-9x^{-1}$

Derivative rule:

$f(x)=x^{n} \\$

$\frac{df}{dx}=nx^{n-1}$

Here, n=-1, so

$\frac{df}{dx}=(-9)(-1)x^{-2} =\frac{9}{x^{2} }$

Evaluating this at x=-4 gives 9/16