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Math Help - Relative Maximum/minimum help!

  1. #1
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    Relative Maximum/minimum help!

    I know how to do A and B but can some one help me on C please.
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  2. #2
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    Quote Originally Posted by lilwayne View Post
    I know how to do A and B but can some one help me on C please.
    what do the first and second derivative tests for extrema tell you?
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    Solve f'(x) = 0, g'(x)=0, h'(x)=0
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    Quote Originally Posted by lilwayne View Post
    I know how to do A and B but can some one help me on C please.
    Dear lilwayne,

    Take the first derivative of f(x) and consider its behavior in the regions x<0 and x>0.

    If \frac{df(x)}{dx}<0~ when ~x<0 ~and ~\frac{df(x)}{dx}>0~ when~ x>0 then there is a relative minimum at x=0.

    If \frac{df(x)}{dx}>0 ~when~ x<0 ~and~ \frac{df(x)}{dx}<0 ~when ~x>0 then there is a relative maximum at x=0.

    If the derivative is positive or negative in both regions then x=0 is neither a ralative maximum nor a relative minimum.

    Hope you understood.
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  5. #5
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    Thanks a lot!
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