The following problem appears in my textbook (before it discusses the quotient or product rule, so those rules cannot be used for the answer):(adsbygoogle = window.adsbygoogle || []).push({});

Find the derivative of the function: [tex]\frac{x^3-3x^2+4}{x^2}[/tex]

I brought the denominator to the top and multiplied it out to get [tex]{x-3+4x^-2}[/ltex]. I then took the derivative of that to get [tex]{1-0-8x^-3}[/tex], which can be simplified to [tex]\frac{-7}{x^3}[/tex].

However, in the back of my book, the answer is given as [tex]\frac{x^3-8}{x^3}[/tex].

Please enlighten me as to where i went wrong.

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# Homework Help: Derivative of fraction without quotient rule

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