Please provide the full solution, thanks!

Suppose z = u2 - v3. With u =Vt and v = t+1, (a) Compute the total derivative (first order derivative) dz /dt using direct substitution. (b) Compute the total derivative using the chain rule. (c) Compute the second order derivative d' z/ dt2 directly. (d) Compute the second order derivative using the chain rule applied to the first order deriva- tive. You should first show that d2 z d dz 22 z du 2 azz du du 22 2 2 az du az d-v + 2 + + dt2 dt dt au2 dt duav dt dt dt au dt2 av dt2