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Math Help - derivative problem -

  1. #1
    Junior Member LexiRae's Avatar
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    derivative problem -

    what is the derivative of:
    x^(1/2) - (1/(x(x^(1/3)))

    thanksss!!!

    oh and could you please how work ? thanks i really appreciate it!

    i know the first term would be : (1/2)x^(-1/2)
    and then you have to use the diff quotient and sum rule for the second part but im not sure i keep getting all mixed up
    Last edited by LexiRae; November 2nd 2008 at 11:24 AM.
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  2. #2
    o_O
    o_O is offline
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    Power rule: \frac{d}{dx} x^{n} = nx^{n-1} for any number n.

    So how would you apply this rule here?
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  3. #3
    Member Nacho's Avatar
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    Do you mean <br />
x^{1/2}  - \left( {\frac{1}<br />
{{x \cdot x^{1/3} }}} \right)<br />
?

    I will suppose, this is de function

    <br />
f'(x) = \left[ {x^{1/2}  - \left( {\frac{1}<br />
{{x^{\frac{1}<br />
{3} + 1} }}} \right)} \right]^\prime   = \left( {x^{1/2} } \right)^\prime   - \left( {x^{ - \frac{2}<br />
{3}} } \right)^\prime   = \frac{1}<br />
{2}x^{\frac{1}<br />
{2} - 1}  - \left( { - \frac{2}<br />
{3}x^{ - \frac{2}<br />
{3} - 1} } \right)<br />

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