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GATE EE 2023 Set 1 — Question 65

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NAT+2 / -0MediumGradient, Divergence & CurlVector CalculusEngineering MathematicsDirectional Derivatives

Engineering Mathematics → Vector Calculus → Directional Derivatives

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Question

A quadratic function of two variables is given asf(x1,x2)=x12+2x22+3x1+3x2+x1x2+1f(x_1, x_2) = x_1^2 + 2x_2^2 + 3x_1 + 3x_2 + x_1x_2 + 1The magnitude of the maximum rate of change of the function at the point (1,1) is _________ (Round off to the nearest integer).
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