What are the first and SECOND derivatives of the following function
x+5/2x-4
thannk you
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.