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Math Help - Sine Function Derivative

  1. #1
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    Sine Function Derivative

    Hey folks. I have a question here...

    Determine the derivative of the following function:

    f(x) = sin(e^x)

    I know that f '(x) = cosx... but I'm having a hard time putting it together.

    Thanks!
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  2. #2
    Member mathemagister's Avatar
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    Quote Originally Posted by Jools View Post
    Hey folks. I have a question here...

    Determine the derivative of the following function:

    f(x) = sin(e^x)

    I know that f '(x) = cosx... but I'm having a hard time putting it together.

    Thanks!
    Do you know the chain rule?

    f(x) = f(g(x))
    f'(x) = f'(g(x)).g'(x)

    f(x) = sin(e^x)
    f'(x) = cos(e^x).e^x

    This should make sense if you are familiar with the chain rule.
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  3. #3
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    e^(i*pi)'s Avatar
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    Use the chain rule and note that the derivative of e^x is e^x

    Spoiler:
    e^x \, cos(e^x)
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  4. #4
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    Quote Originally Posted by e^(i*pi) View Post
    Use the chain rule and note that the derivative of e^x is e^x

    Spoiler:
    e^x \, cos(e^x)
    Ok... Got it I think. Thanks.
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