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Math Help - differentiable function

  1. #1
    Senior Member euclid2's Avatar
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    differentiable function

    suppose that f is a differentiable function with the derivative f'(x)=(x+1)(x-2)(x+6). find all the critical numbers of f and determine whether each corresponds to a local maximum, a local minimum, or neither.
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    Use the first derivitive test...

    When is f'(x)=0? What are the signs of f'(x) in the intervals between these points, and beyond them?
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    Quote Originally Posted by euclid2 View Post
    suppose that f is a differentiable function with the derivative f'(x)=(x+1)(x-2)(x+6). find all the critical numbers of f and determine whether each corresponds to a local maximum, a local minimum, or neither.
    critical values occur where f'(x) = 0

    local maximums occur at critical values where f'(x) changes sign from positive to negative.

    local minimums occur at critical values where f'(x) changes sign from negative to positive.
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  4. #4
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    Euclid2, you have posted 4 questions, of the same kind, in a row where you have not shown any attempt to do them yourself. This is not a "we will do your homework for you" forum!
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    Senior Member euclid2's Avatar
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    Quote Originally Posted by HallsofIvy View Post
    Euclid2, you have posted 4 questions, of the same kind, in a row where you have not shown any attempt to do them yourself. This is not a "we will do your homework for you" forum!
    nothing of the sort. i had 17 homework questions last night. i was unable to do 5 of them. i posted them here.
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