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Math Help - Simplifying a Derivative

  1. #1
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    Simplifying a Derivative

    I found the derivative using the chain rule, but how do I simplify it? Here it is:



    I believe I'm supposed to factor out common factors, but I just don't know where to start.

    Thanks.
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  2. #2
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    Quote Originally Posted by ttreat31 View Post
    I found the derivative using the chain rule, but how do I simplify it? Here it is:



    I believe I'm supposed to factor out common factors, but I just don't know where to start.

    Thanks.
    y' = -9x^2(5x-2)^3(2-x^3)^2 + 15(2-x^3)^3(5x-2)^2

    common factors look like 3(5x-2)^2(2-x^3)^2 ... pull'em out.
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  3. #3
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    Ah, now I understand. Then would this be the correct answer?

    y'=3(5x-2)^2(2-x^3)^2[-3x^2(5x-2)+5(2-x^3)]

    Edit: According to my homework, this is not simplified fully!?
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  4. #4
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    Quote Originally Posted by ttreat31 View Post
    Ah, now I understand. Then would this be the correct answer?

    y'=3(5x-2)^2(2-x^3)^2[-3x^2(5x-2)+5(2-x^3)]

    Edit: According to my homework, this is not simplified fully!?
    the last factor ...

    [-3x^2(5x-2)+5(2-x^3)]

    ... can be simplified further.

    distribute and combine like terms.
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  5. #5
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    Awesome, thank you so much!
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