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GATE Civil Engineering 2017 Paper 2

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Question : 2

Total: 65

Let w=f(x,y), where x and y are functions of t.Then, according to the chain rule,

is equal to

dw
dx
dx
dt
+
dw
dy
dt
dt
𝜕w
𝜕x
𝜕x
𝜕t
+
𝜕w
𝜕y
𝜕y
𝜕t
𝜕w
𝜕x
dx
dt
+
𝜕w
𝜕y
dy
dt
dw
dx
𝜕x
𝜕t
+
dw
dy
𝜕y
𝜕t

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