Question

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 divided by 4

Answer 1

Answer:

9/16

Step-by-step explanation:

Answer 2

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