Let $z(x,y)=e^{x}sin(y)$ where $x=t^8$&$y=3t.$

Calculate $\frac{dz}{dt}$ by first finding $\frac{dx}{dt}$&$\frac{dy}{dt}$ and using the chain rule.

$\frac{dx}{dt}=$

$\frac{dy}{dt}=$

Now use the chain rule to calculate the following:

$\frac{dz}{dt}=$