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Math Help - More chain rule problems

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    More chain rule problems

    Ok, Here is another calculus problem to check. Can someone tell me if I done this one correctly.

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    Quote Originally Posted by robasc View Post
    Ok, Here is another calculus problem to check. Can someone tell me if I done this one correctly.
    You have a product, and both factors contain x. Isn't there a certain rule you should be using here? ...for the product? Go to it.
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    Quote Originally Posted by robasc View Post
    Ok, Here is another calculus problem to check. Can someone tell me if I done this one correctly.

    product rule and chain rule ...

    f(x) = x(3x-9)^3

    f'(x) = x \cdot 3(3x-9)^2 \cdot 3 + (3x-9)^3 \cdot 1

    f'(x) = 9x(3x-9)^2 + (3x-9)^3

    f'(x) = (3x-9)^2[9x + (3x-9)]

    f'(x) = (3x-9)^2(12x-9)
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