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Math Help - Derivative?

  1. #1
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    Derivative?

    Can anyone help me find the derivative of this function

    f(x)=((x^3-3x^2+4))/((x^2)) This is what I did

    ((3x^2-6x+0))/((2x)) But How would I proceed
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  2. #2
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    Re: Derivative?

    Quote Originally Posted by homeylova223 View Post
    Can anyone help me find the derivative of this function
    f(x)=((x^3-3x^2+4))/((x^2)) But How would I proceed
    \text{If }f(x) = \frac{{g(x)}}{{h(x)}}\text{ then }f'(x) = \frac{{g'(x)h(x) - h'(x)g(x)}}{{\left[ {h(x)} \right]^2 }}
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  3. #3
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    Re: Derivative?

    Unfortunately all I have learned thus far is the power rule. But I will try to work it out.
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    Re: Derivative?

    Quote Originally Posted by homeylova223 View Post
    Can anyone help me find the derivative of this function

    f(x)=((x^3-3x^2+4))/((x^2)) This is what I did

    ((3x^2-6x+0))/((2x)) But How would I proceed
    You are probably expected to use basic algebra and index laws to re-arrange into the form

    f(x) = \frac{x^3}{x^2} - \frac{3x^2}{x^2} + \frac{4}{x^2} = x - 3 + 4 x^{-2}.
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