Use the chain rule to find the indicated partial derivatives. z = x4 + x2y, x = s + 2t − u, y = stu2; ∂z ∂s , ∂z ∂t , ∂z ∂u when s = 3, t = 1, u = 2

Using the chain rule, the derivatives are:

The function z is:

It is a function of x and y, which are functions of s, t and u. Thus, the partial derivatives are:

The functions for x and y are:

Then:

Considering s = 3, t = 1, u = 2:

A similar problem is given at link

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

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step-by-step explanation:

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