COULD YOU PLEASE SOLVE THOSE QUESTIONS IN DETAILS? THANK YOU

Calculate dz/dt for this function using the chain rule. That is, try to avoid using direct substitution (except perhaps as a check that you've done the problem correctly). z=F(:c,y)=6a:+y3, where m=2t2,y=3t3. :ne Consider the functions f : R2 -> R and g : R2 - R2 such that for all ac = (u, v) ER2, f(x) = 3utv and g(x) = uz + v2 euv Use the chain rule to derive Da f(g() ). That is, try to avoid using direct substitution to find the derivative, except perhaps to check your work. (1, 1)-coordinate: (1, 2)-coordinate: (Also verify for yourself that the Jacobian matrix has the correct dimensions)