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The existence of first order partial derivatives implies continuity.

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The existence of first order partial derivatives implies continuity.

(a) True

(b) False

The question was asked by my school teacher while I was bunking the class.

My question is from Partial Differentiation in portion Partial Differentiation of Engineering Mathematics

1 Answer

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The correct answer is (b) False

Easy explanation: The mere existence cannot be declared as a condition for contnuity because the second order derivatives should also be continuous.

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