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Math Help - differentiating an equation containing ln(x) and e^x

  1. #1
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    differentiating an equation containing ln(x) and e^x

    how would i differentiate

    f(x) = 3e^x - 0.5 ln x - 2
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  2. #2
    Junior Member toraj58's Avatar
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    f^{\prime}(x) = 3e^x - 0.5 \frac {1}{x-2}
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  3. #3
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    Quote Originally Posted by sharp357 View Post
    how would i differentiate

    f(x) = 3e^x - 0.5 ln x - 2
    You should use the properties:

    h(x) = e^x~\implies~h'(x) = e^x and

    g(x)=\ln(x+a)~\implies~g'(x)=\dfrac1{x+a}, a\in \mathbb{R}
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