JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

f\left( {x,y} \right) = 2{\left( {x - y} \right)^2} - {x^4} - {y^4},

then

{\left| {\left( {{f_{xx}}{f_{yy}} - f_{xy}^2} \right)} \right|_{0,0}}

View answer and explanation

Correct option: C

Option C (0) is correct because after calculating the second-order partial derivatives and substituting (0,0), the expression evaluates to 0.

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