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Math Help - Derivative notation confusion

  1. #1
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    [SOLVED] Derivative notation confusion

    Hi,

    I'm confused as to what this notation means in this question.

    The question is: Find each of the following:

    a) \frac{d(e^x f(x))}{dx}

    so does that mean that the original function e^x f(x) and then I find a general rule for it's derivative in respect to x?

    Just, I'm used to things that are like: \frac{d}{dx}(5x^2+5) so having something with the \frac{d(blah)}{dx} is new and I'm not to sure what i means

    Thanks!
    Last edited by rudders93; April 4th 2010 at 05:06 AM. Reason: solved thanks :)
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  2. #2
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    Quote Originally Posted by rudders93 View Post
    Hi,

    I'm confused as to what this notation means in this question.

    The question is: Find each of the following:

    a) \frac{d(e^x f(x))}{dx}

    so does that mean that the original function e^x f(x) and then I find a general rule for it's derivative in respect to x?

    Just, I'm used to things that are like: \frac{d}{dx}(5x^2+5) so having something with the \frac{d(blah)}{dx} is new and I'm not to sure what i means


    Thanks!
    Dear rudders93,

    It's a multiplication of two functions, therefore you could used the product rule,

    \frac{d}{dx}[e^xf(x)]=e^x\frac{d}{dx}f(x)+e^xf(x)

    Hope this will help you.
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  3. #3
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    Quote Originally Posted by rudders93 View Post
    Hi,

    I'm confused as to what this notation means in this question.

    The question is: Find each of the following:

    a) \frac{d(e^x f(x))}{dx}

    so does that mean that the original function e^x f(x) and then I find a general rule for it's derivative in respect to x?

    Just, I'm used to things that are like: \frac{d}{dx}(5x^2+5) so having something with the \frac{d(blah)}{dx} is new and I'm not to sure what i means

    Thanks!
    Iím pretty sure d/dx.(e^x.f(x)) means the same as d.(e^x.f(x))/dx otherwise the question doesnít make sense.
    Means the derivative of the e^x.f(x)
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  4. #4
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    Ah awesome. Thanks!
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