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GATE Electrical 2025 | Question: 43

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Let $(x, y) \in \Re^{2}$. The rate of change of the real valued function,

$V(x, y)=x^{2}+x+y^{2}+1$

at the origin in the direction of the point $(1,2)$ is $\_\_\_\_\_\_\_\_\_$ (round off to the nearest integer).

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