$\frac{d}{dx}ln{x}^{sinx}=$

$($a$)$ Does not exist

$($b$)\frac{sinx}{x^{sinx}}$

$($c$)\frac{1}{x^{sinx}}$

$($d$)cosxlnx+\frac{sinx}{x}$

$($c$)$ None of the above