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Math Help - derivative of a function

  1. #1
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    derivative of a function

    Find y' simplifying where possible

    y = 2x^3 − 5x + 2e^x − 7lnx

    the last bit of this function is really throwing me out not really sure where to start

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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by smplease View Post
    Find y' simplifying where possible



    y = 2x^3 − 5x + 2e^x − 7lnx

    the last bit of this function is really throwing me out not really sure where to start
    f(x)=2x^3-5x+2e^{x}-7\ln(x)

    f'(x)=6x^2-5+2e^{x}-\frac{7}{x}

    This is because \frac{D[e^{u(x)}]}{dx}=u'(x)\cdot{e^{u(x)}}

    and \frac{D[\ln(u(x))]}{dx}=\frac{u'(x)}{u(x)}
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