Question

Derivative question

Answer 1

Find the derivative of -(6 /x) at x =12

Answer 2

Does this simplify to 1/24 or 24?

Answer 3

Hint: REWRITE your function as

-(6 /x)\[f(x)= -(6 /x)~ or~ f(x)=-6\frac{ 1 }{ x }~or ~f(x)=-6x ^{-1}\]

Answer 4

what do you get for the derivative?

Answer 5

Differentiatiate: -6x^(-1), using the power rule.

Answer 6

I got 6/144 so I simplified to 1/24 but I'm not sure if 1/24 is the answer or 1/24 simplifies into 24.

Answer 7

Or I might just be lost

Answer 8

Please apply the power rule to the function\[f(x)=-6x ^{-1}\]

Answer 9

I'm not sure what you're asking me to do? Didn't I come to the right answer?

Answer 10

I was just following the example in my lesson

Answer 11

I much prefer to go through problems step by step (which in itself is a way in which i can judge how much you know about the matter at hand).

Please find the derivative, with respect to x, of f(x) =- 6 x^(-1).

Answer 12

Apply the power rule.

Answer 13

Ok give me a second then
f(x) = 6x^-1
-6(-1)x^2-2
6x^-2
6 / x^2
6/144 then simplify it do 1/24

Answer 14

that's where i'm confused with 1/24 or would it simplify to 24

Answer 15

What is 6 over 144?

Answer 16

and it's -6x^-1 at beginning, not 6x^-1

Answer 17

If you'd please go back and check, you'd see that I did include the - sign.

What is 6/144? Reduce.

Answer 18

6 / 144 reduces to 1/24

Answer 19

So, there you have it. You've answered your own question.

Answer 20

I meant that I forgot to include the minus sign at the beginning, not you. Ok thank you for all of the help