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Thread: Simplifying derivative

  1. #1
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    Question Simplifying derivative

    Hi,

    So I've been analyzing the following steps in this algebraic expression for quite some time now:
    Simplifying derivative-screen-shot-2017-07-29-4.09.58-pm.png
    Could someone please provide the in-between steps for how the first line led to the second line?

    Really appreciate help.
    Last edited by otownsend; Jul 29th 2017 at 12:31 PM.
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  2. #2
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    Re: Simplifying derivative



    Note the first line has two terms with the common factor $\color{red}{(6x^4+x)^3}$ ...

    $15x^4 \cdot \color{red}{(6x^4+x)^3} \cdot (6x^4+x) + 12x^5 \cdot \color{red}{(6x^4+x)^3} \cdot (24x^3+1)$

    pull out the common factor ...

    $\color{red}{(6x^4+x)^3} \bigg[15x^4(6x^4+x) + 12x^5(24x^3+1) \bigg]$

    distribute the $12x^5$ inside the brackets to arrive at the second line in the image ...
    Thanks from otownsend
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