Question

Find the derivative of f(x) = -7/x at x = -3.

Answer 1

okay wait

Answer 2

\[-7(\frac{ 1 }{ x })\]
\[f(x)=-7x ^{-1}\] \[7x ^{1-1}\] =\[f \prime(x)=7\]
i get that !! :\

Answer 3

actually,
\(\Large \dfrac{d}{dx}x^n = n x^{n-1}\)

so it won't be 7

Answer 4

\[7x ^{-1-1} = \frac{ 7 }{ x ^{2} }\]

Answer 5

^
and then plug in x = -3 there

Answer 6

ahaaaa okay so it will be \[f \prime(x)=7x ^{-2}\]

Answer 7

my answer choices are
3/7
9/7
7/9
7/3

Answer 8

then put x=-3
it will be \[7(-3)^{-2}=\frac{ 7 }{ 9 } =0.77\]

Answer 9

thank you sooo much!!