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Math Help - help finding f'(0)

  1. #1
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    help finding f'(0)

    If f(x) = e^xg(x), where g(0) = 2 and g'(0) = 5, find f '(0).
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  2. #2
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    Quote Originally Posted by ryan18 View Post
    If f(x) = e^xg(x), where g(0) = 2 and g'(0) = 5, find f '(0).
    Hi ryan18,

    f(x)=e^xg(x)

    f'(x)=g(x)\frac{d}{dx}e^x+e^x\frac{d}{dx}g(x)=g(x)  e^x+e^xg'(x)

    f'(0)=g(0)e^0+e^0g'(0)=g(0)+g'(0)
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