please help #$10$

For the given functions, $(a)$ express $\frac{dw}{dt}as$ a function $oft,$ both $by$ using the Chain Rule and $by$ expressing $win$ terms $oft$ and differentiating directly with respect $toL.$ Then $(b)$ evaluate $\frac{dw}{dt}at$ the

given value $oft.$

$w=3y{e}^x-lnz,x=ln(t^2+1),y=ta{n}^{-1}t,z=e^t,t=1$

$a.\frac{dw}{dt}=$

$b.\frac{dw}{dt}{|}_l=1=$

$(Typean$ exact answer.$)$