1. ## [SOLVED] Derivatives

What are the first and SECOND derivatives of the following function

x+5/2x-4

thannk you

2. Is it $\displaystyle \frac{x+5}{2x-4}$?

In that case, you could use the Fraction Rule:

$\displaystyle \frac{d}{dx}\left(\frac{f(x)}{g(x)}\right)=\frac{g (x)f'(x)-f(x)g'(x)}{g(x)^2}.$

Note that $\displaystyle \frac{d}{dx}(x+5)=1$ and $\displaystyle \frac{d}{dx}(2x-4)=2$.

You can use the same rule for the second derivative.