Let $\displaystyle {y}=\frac{{\csc{{\left({x}\right)}}}}{{{\left({6}\cdot{x}^{{3}}\right)}}}$

Find $\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}$

$\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=$ Preview Question 6  

Type sin(x) for $\displaystyle {\sin{{\left({x}\right)}}}$ , cos(x) for $\displaystyle {\cos{{\left({x}\right)}}}$, and so on.

Type ( sin(x) )^2 to square sin(x) , ( f(x) )^2 to square f(x).

Use / to divide.

Do NOT simplify your answer.