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find the derivative of y = x^2e^x − 2xe^x + 2e^x?

I cannot for the life of me find the derivative of this exponential function. Please help! Much appreciated.

1 Answer

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  • 9 years ago

    Its is a bit ambiguous how you typed it. Is the e^x a part of the power? i.e. Should it be written:

    x^(2e^x) - exe^x + 2e^x

    or is it

    (x^2)e^x - exe^x + 2e^x

    If you meant the first one, then the derivative is:

    2e^(2e^x)x^(2e^x) - 2xe^x

    If you meant the second one, then the derivative is:

    (x^2)e^x

    You just have to know the product rule. If you meant the first equation, then you need the chain rule and the product rule.

    Hope I helped!

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