Question

Find all local extrema for f(x)=x^3-12x-1

Answer 1

i'm not sure what you mean by extrema

local maxima and minima?

Answer 2

Yea

Answer 3

ok
first find the derivative of the function and equate it to zero/
can u do that?

Answer 4

Yes. I believe i have already calculated the answer

Answer 5

3x^2 - 12 = 0
x^2 = 4
x = -2 , 2

so plug these in to the function to find value of f(x)
these are the 2 extrema points

Answer 6

now find the nature of the 2 points by finding the sing of the second derivative

Answer 7

* sign

Answer 8

what do you get?