Suppose w = f y x x y , z x x z is a differentiable function of u = y x x y and v = z x

Chapter 2, Problem 17

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Suppose w = f y x x y , z x x z is a differentiable function of u = y x x y and v = z x x z . Show then that x 2 w x + y2 w y + z2 w z = 0.

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