GATE Civil Engineering (CE) 2017 Shift 2 Solved Paper

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Question : 12 of 65

Marks: +1, -0

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

\;{dw}/{dt}

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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