Answer
$h'(x)=12$ $cos$ $x-\frac{2.5}{x}$
Work Step by Step
We solve this problem by implementing two rules for derivatives, first the rule for natural log functions $\frac{d}{dx}(ln$$ x)=\frac{1}{x}$. Then we implement the rule for trigonometry functions $\frac{d}{dx}(sin$ $x)$ $=$ $cos$ $x$.