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Math Help - Take the derivative of..

  1. #1
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    Take the derivative of..

    f(x)= sinx+2e^x

    (I'm suppose to explain why there's no maxima or minima)
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  2. #2
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    Quote Originally Posted by sadieann View Post
    f(x)= sinx+2e^x

    (I'm suppose to explain why there's no maxima or minima)
    f(x) = \sin{x} + 2e^x

    f'(x) = \cos{x} + 2e^x.


    Maxima and minima occur where f'(x) = 0.

    So 0 = \cos{x} + 2e^x

    -\cos{x} = 2e^x.

    This isn't solvable exactly, but check their graphs. Do they intersect anywhere?
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