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Math Help - e^x derivative?

  1. #1
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    e^x derivative?

    Hi everyone! looking for some basics,

    The derivative of e^x = e^x

    but what is e^3x? is it e^3x?
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  2. #2
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    Quote Originally Posted by NFZ17 View Post
    Hi everyone! looking for some basics,

    The derivative of e^x = e^x

    but what is e^3x? is it e^3x?
    If y = e^{kx} then \frac{dy}{dx} = k e^{kx}. This follows directly from the chain rule and your correctly stated result that the derivative of e^x is e^x.
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  3. #3
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    So what if

    dy/dx=e^kx

    What is y? do I just integrate? e^kx+1/kx+1 ?
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  4. #4
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    Quote Originally Posted by NFZ17 View Post
    So what if

    dy/dx=e^kx

    What is y? do I just integrate? e^kx+1/kx+1 ?
    It should be clear from my first post that if \frac{dy}{dx} = e^{kx} then y = \frac{1}{k} e^{kx} + C.
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  5. #5
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    Just in case a picture helps...





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