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Math Help - Need help with derivative problems ):

  1. #1
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    Need help with derivative problems ):

    ...solved!
    Last edited by swtbellrose; October 18th 2010 at 09:39 AM.
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  2. #2
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    If f(x) = |x|, then f'(x) = \frac{|x|}{x}.

    Therefore, if f(x) = |x|^\frac{3}{2}, then f'(x) = \frac{3}{2}|x|^\frac{1}{2} \times \frac{|x|}{x}.

    f'(x) fails to exist at x = 0 (because of division by zero). It exists at all other values of x.

    Likewise, f''(x) is undefined at x = 0 but defined for all other values of x.
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