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Math Help - Derivative Problem

  1. #1
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    Derivative Problem

    Find the derivative of:
    y=(x^2)(e^x) - 2x(e^x) + 2(e^x)

    Thanks!
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  2. #2
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    x^2 * e^x
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by cupcakelova87 View Post
    Find the derivative of:
    y=(x^2)(e^x) - 2x(e^x) + 2(e^x)

    Thanks!
    y = (x^2)(e^x) - 2x(e^x) + 2(e^x)
    => y = (e^x)(x^2 - 2x + 2) .................................we need the product rule for this, hope you remember it
    => y' = (e^x)(x^2 - 2x + 2) + (e^x)(2x - 2) ...........now simplify
    => y' = (e^x)(x^2 - 2x + 2 + 2x - 2)
    => y' = (e^x)(x^2)
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  4. #4
    Senior Member ecMathGeek's Avatar
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    Quote Originally Posted by cupcakelova87 View Post
    Find the derivative of:
    y=(x^2)(e^x) - 2x(e^x) + 2(e^x)

    Thanks!
    The first two terms involve product rule: (uv)' = uv' + u'v

    y' = x^2*e^x + 2xe^x - 2xe^x - 2e^x + 2e^x
    y' = x^2*e^x
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  5. #5
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    lol, sorry...everyone does such a great job at helping me on here so I jumped at the chance when I knew the answer
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  6. #6
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    Thanks to all
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