Let $w(x,y,z)=7$xyarcsin$(z)$ where $x=t^5,y=t^3,z=9t$

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

$\frac{dx}{dt}=$

$\frac{dy}{dt}=$

$\frac{dz}{dt}=$

Now use the chain rule to calculate the following $($please enter arcsin instead of $si{n}^{-1}$ whenever appropriate$)$:

$\frac{dw}{dt}=$

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