Question

f(x)=(x+2)^3-4. The point (-2, -4) is which of the following? A) An absolute maximum B) An absolute minimum C) A critical point but not an extremum D) Not a critical point E) None of these
I think the answer is C, am I right?

Answer 1

Is this a calculs question or have you not learnt any calculus yet?

Answer 2

A Calculus question and I take this class right now.

Answer 3

You know to find a maximum or minimum you find the derivative right?

Answer 4

Yes. But I wonder if C is the right answer. Do you must find the maximum and the minimum for this problem? If so, what to do after finding the derivatives?

Answer 5

Okay, after you find the derivative, you set it equal to zero and solve for x.

Answer 6

You substitute a number smaller than and a number bigger than x into the derivative.

Answer 7

If the derivative changes from a - to a + the function has a local min. If the derivative changes from + to - the function has a local max.

Answer 8

A critical number is where the value of x you find makes the derivative equal to 0 or makes it undefined.

Answer 9

Okay I just did all the work out. You are correct :P .

Answer 10

@Idealist