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Math Help - Differentiation Question

  1. #1
    Member iPod's Avatar
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    Differentiation Question

    y=e^xsin(4e^{5x})

    hints please
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by iPod View Post
    e^xsin(5e^4)

    hints please
    sin(5e^4) = constant

    \frac{d}{dx}(ae^x) = ae^x
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  3. #3
    Member iPod's Avatar
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    i understood that, however the question i have written the 1st time was incorrect, please take another look
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  4. #4
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    Quote Originally Posted by iPod View Post
    y=e^xsin(4e^{5x})

    hints please
    try the product rule?

    f(x)=e^x
    f'(x)=e^x

    g(x)=(sin(4e^{5x}))
    g'(x)=(cos(4e^{5x}))(4e^{5x})(5)=20e^{5x}(cos(4e^{ 5x}))

    dy/dx=f(x)g'(x)+g(x)f'(x)
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  5. #5
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    thanks very much, i got it now
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