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

• November 16th 2008, 03:59 AM
sharp357
differentiating an equation containing ln(x) and e^x
how would i differentiate

f(x) = 3e^x - 0.5 ln x - 2
• November 16th 2008, 04:02 AM
toraj58
$f^{\prime}(x) = 3e^x - 0.5 \frac {1}{x-2}$
• November 16th 2008, 04:04 AM
earboth
Quote:

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

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