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

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

how would i differentiate

f(x) = 3e^x - 0.5 ln x - 2

2. $f^{\prime}(x) = 3e^x - 0.5 \frac {1}{x-2}$

3. Originally Posted by sharp357
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

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