Let $\displaystyle {y}={4}\cdot{\left({\sin{{\left({3}\cdot{x}+{7}\right)}}}\right)}^{{6}}$

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

Also, type (sin(x))^n for $\displaystyle {{\sin}^{{n}}{\left({x}\right)}}$, (cos(x))^n for $\displaystyle {{\cos}^{{n}}{\left({x}\right)}}$, e^(3x) for $\displaystyle {e}^{{{3}{x}}}$,and so on.