Question: Assume that all the given functions have continuous second-order partial derivatives. Suppose z = f (x, y), where x = g(s, t) and y =

Assume that all the given functions have continuous second-order partial derivatives.

Suppose z = f (x, y), where x = g(s, t) and y = h(s, t).
(a) Show that

а?z дх ду a°z ay а?z (дх дх? + 2 ду? дг дх ду д де дг? дt дх д?х дх дг? дz д'у ду

(b) Find a similar formula for ∂2z/∂s ∂t.

?z az ay ?z ( ? + 2 ? ? t ? ? z ' ? 2.

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