Use the function $g(x)=x^{sin(x)}$ to give the limit definition darr for $g^{\text{'}}(2).[$No need to simplify or evaluate the limit$.]$

$\underset{h0}{lim}\frac{(2h)-2}{h}$

$g^{\text{'}}(2)=\underset{h0}{lim}\frac{(2h{)}^{sin(2h)}-2^{sin(2)}}{h}$

$\underset{h0}{lim}\frac{(sin(2)h)-sin(2)}{h}$

DNE