Question

Find the derivative of f(x) = 6/x at x = -2.

Answer 1

Use the quotient rule, or turn it into the power product rule, then after you differentiate it evaluate at x = -2.

Answer 2

f(x)=6x^-1
f'(x)=-6x^-2=-6/x^2
put x=-2 and get the solution.

Answer 3

confused

Answer 4

@agent0smith

Answer 5

First:

6/x = 6x^-1 right? Remember, exponent rules... 1/a = a^-1

Answer 6

no :(

Answer 7

Well, then there it is :P

1/x = x^-1

Answer 8

So

6/x = 6x^-1

f(x) = 6x^-1

Now find f'(x) using the power rule: multiply by the exponent, then reduce the exponent by 1

Answer 9

f(x) = 6x^-1

your exponent of -1 multiplies out front, and the exponent gets reduced by 1, so -1 becomes -2:

f'(x) = -1*6x^-2

f'(x) = -6x^-2

or f'(x) = -6/x^2

Answer 10

"Find the derivative of f(x) = 6/x at x = -2."

now plug x=-2 into:

f'(x) = -6/x^2

Answer 11

Power rule for derivatives (what I used)

derivative of :
x^n is nx^(n-1)