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Math Help - Differentiation using product rule

  1. #1
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    Differentiation using product rule

    Use the product rule to differentiate the given function with respect to x:


    x^2(x+3)^4

    u=x^2
    v=(x+3)^4

    du/dx=2x
    dv/dx=4

    y=4x^2+2x(x+3)^4

    I do not know how to get to the answer from here but the answer is

    6x(x+1)(x+3)^3
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  2. #2
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    Quote Originally Posted by juliak View Post
    Use the product rule to differentiate the given function with respect to x:


    x^2(x+3)^4

    u=x^2
    v=(x+3)^4

    du/dx=2x
    dv/dx=4

    y=4x^2+2x(x+3)^4

    I do not know how to get to the answer from here but the answer is

    6x(x+1)(x+3)^3
    Your dv/dx is incorrect
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  3. #3
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    e^(i*pi)'s Avatar
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    Your dv/dx should read \frac{dv}{dx} = 4(x+3)^3
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