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Math Help - Limits and the Power Rule

  1. #1
    Junior Member
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    Jul 2009
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    Limits and the Power Rule

    I did this one using the Power Rule

    <br />
 f(x)=\frac{(x^10-x^2)}{x^3}<br />

    And I Get

    <br />
 \frac{10x^9-2x}{3x^2}<br />

    <br />
\frac{10x^8-2}{3x}<br />

    <br />
\frac{2(5x^8-1)}{3x}<br />

    I'm supposed to find the derivative. Is that it to this?
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  2. #2
    Super Member
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    <br />
f(x)=\frac{(x^10-x^2)}{x^3}<br />

    Should this be:

    <br />
F(x)=\frac{x^{10}-x^2}{x^3}<br />

    We are actually using the quotient rule here (which is really the power rule, and implicit differentiation but whatever):

    F'(x)=\frac{[f'(x)][g(x)]-[f(x)][g'(x)]}{[g(x)]^2}

    In this equation

    f(x)=(x^{10}-x^2)
    g(x)=x^3
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