GATE EC 2015 Set 3 — Question 12
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Engineering Mathematics → Calculus → Partial & Total Derivatives
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Question
The contour on the - plane, where the partial derivative of with respect to is equal to the partial derivative of with respect to , is
Correct answer
(A) y = 2
Solution
Step 1: Find the partial derivative of with respect to .
Step 2: Find the partial derivative of with respect to .
Step 3: Set the two partial derivatives equal to each other as per the question.
Thus, the contour is the line .
Step 2: Find the partial derivative of with respect to .
Step 3: Set the two partial derivatives equal to each other as per the question.
Thus, the contour is the line .
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