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Math Help - Chain rule / quotient problem

  1. #1
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    Chain rule / quotient problem

    f(x) = [(3x^2 + 2x + 1) / (3 - 2x^3 + x^2)]^5<br />

    So I use chain rule, which also involved use of the quotient rule.

    5[(3x^2 + 2x + 1) / (3 - 2x^3 + x^2)]^4 * [(3 - 2x^3 + x^2) (6x+2) - (3x^2 + 2x + 1) (-6x^2 + 2x)] / (3-2x^3 + x^2)^2

    Am I on the right track? It seems awfully long and I suspect I messed something up.
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  2. #2
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    Quote Originally Posted by Archduke01 View Post
    f(x) = [(3x^2 + 2x + 1) / (3 - 2x^3 + x^2)]^5<br />

    So I use chain rule, which also involved use of the quotient rule.

    5[(3x^2 + 2x + 1) / (3 - 2x^3 + x^2)]^4 * [(3 - 2x^3 + x^2) (6x+2) - (3x^2 + 2x + 1) (-6x^2 + 2x)] / (3-2x^3 + x^2)^2

    Am I on the right track? It seems awfully long and I suspect I messed something up.
    Everything's correct! Next time though try to use, in LaTeX, the "\frac" thing to write fractions: it'll be way clearer and easier to read.

    Tonio
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