Consider the vector valued functions:

$F(x,y)=(2x-3y^2,x^4)$ and $G(v,w)=(6v+2w,v-3w)$

Part $a$: Calculate THE derivative $DFof$ this function $at$ the point $(x,y)=(1,-1).$

Part $b$: Calculate THE derivative $DGof$ this function $at$ the point $(v,w)=(-1,1)$ Note these points are

different.

Part $c$: Use the chain rule $to$ calculate the derivative $of$ the composition $DG(F)$

Note: This problem $is$ based $on$ material that $is$ covered $in$ the class videos but $is$ not covered $in$ the textbook.