Let $\displaystyle {y}={5}{\left({\sin{{\left({7}{x}+{2}\right)}}}\right)}^{{5}}$

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.

Also, type (sin(x))^n for $\displaystyle {{\sin}^{{n}}{\left({x}\right)}}$, (cos(x))^n for $\displaystyle {{\cos}^{{n}}{\left({x}\right)}}$, and so on.