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Let w = f(u, v); u = g(x, y), and v = h(x, y). Find partial differential w/parti

ID: 2879426 • Letter: L

Question

Let w = f(u, v); u = g(x, y), and v = h(x, y). Find partial differential w/partial differential x. partial differential w/partial differential x = partial differential w/partial differential u + partial differential w/partial differential v partial differential w/differential x = differential w/partial differential u partial differential u/partial differential x partial differential w partial differential x = partial differential w/partial differential x partial differential x/partial differential u + partial differential w/partial differential x partial differential x/partial differential v partial differential w/partial differential x = partial differential w/partial differential u partial differential u partial differential x + partial differential w/partial differential v partial differential v/partial differential x None of the above.

Explanation / Answer

as from above expression

dw/dx =dw/du*du/dx +dw/dv* dv/dx

therefore option D is correct.