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Idealist

  • 3 years ago

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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  1. Dido525
    • 3 years ago
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    Is this a calculs question or have you not learnt any calculus yet?

  2. Idealist
    • 3 years ago
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    A Calculus question and I take this class right now.

  3. Dido525
    • 3 years ago
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    You know to find a maximum or minimum you find the derivative right?

  4. Idealist
    • 3 years ago
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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?

  5. Dido525
    • 3 years ago
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    Okay, after you find the derivative, you set it equal to zero and solve for x.

  6. Dido525
    • 3 years ago
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    You substitute a number smaller than and a number bigger than x into the derivative.

  7. Dido525
    • 3 years ago
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    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.

  8. Dido525
    • 3 years ago
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    A critical number is where the value of x you find makes the derivative equal to 0 or makes it undefined.

  9. Dido525
    • 3 years ago
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    Okay I just did all the work out. You are correct :P .

  10. Dido525
    • 3 years ago
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    @Idealist

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