Use the Chain Rule $to$ find $\frac{\text{d}\text{e}\text{l}\text{w}}{\text{d}\text{e}\text{l}\text{s}}$ and $\frac{\text{d}\text{e}\text{l}\text{w}}{\text{d}\text{e}\text{l}\text{t}}$ for $w=x^2-y^2$ where $x=e^{3s}sin2t$ and $y=e^{2s}cos3t.$

$(10$ points$)$