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Assume that all the given functions have continuous second-order partial derivatives. If z = f(x, y),...
Assume that all the given functions have continuous second-order partial derivatives. If z = f(x, y), where x = r2 + s2 and y = 6rs, find ∂2z/∂r∂s. (Compare with Example 7.) ∂2z/∂r∂s = ∂2z/∂x2 + ∂2z/∂y2 + ∂2z/∂x∂y + ∂z/∂y
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