Ue and where h(r,t) = f(x(r,t),y(r,t),z(r,t)) or Clearly state where each derivative in your formulae is to be evaluated.
Oh (ii) Use the chain rule to calculate for h(r,t) = f(x(r,t),y(r,t),z(r,t)), where Ot
f(x,y,z) =
x = r cos(t),
y = r sin(t) and z = r^2t^3
Simplify your answer.
(iii) Verify that the same answer is obtained by first writing and simplifying h(r,t) in terms of r and t and then calculating.