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?

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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?

Mathematics
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Is this a calculs question or have you not learnt any calculus yet?
A Calculus question and I take this class right now.
You know to find a maximum or minimum you find the derivative right?

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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?
Okay, after you find the derivative, you set it equal to zero and solve for x.
You substitute a number smaller than and a number bigger than x into the derivative.
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.
A critical number is where the value of x you find makes the derivative equal to 0 or makes it undefined.
Okay I just did all the work out. You are correct :P .

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