GATE 2020 BT – Question 28

Given $Z=X^2+Y^2$, find $\partial Z/\partial X$ at X = 1, Y = 0. Give an integer.

Show answer and explanation

Correct answer: 2 to 2

Explanation

For a partial derivative with respect to X, hold Y fixed. Thus $\partial Z/\partial X=2X$. At X = 1 this is 2, independent of the specified Y value.

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