Let w = x 2 + x y + z 2 (a) If x 3 + x = 3 t , y 4 + y = 4 t , z 5 + z = 5 t , find d w / d t . (b) If y 3 + x y = 1 and z 3 − x z = 2 , find d w / d x . (c) If x 3 z + z 3 y + y 3 x = 0 , find ( ∂ w / ∂ x ) y .
Let w = x 2 + x y + z 2 (a) If x 3 + x = 3 t , y 4 + y = 4 t , z 5 + z = 5 t , find d w / d t . (b) If y 3 + x y = 1 and z 3 − x z = 2 , find d w / d x . (c) If x 3 z + z 3 y + y 3 x = 0 , find ( ∂ w / ∂ x ) y .
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