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GATE ME 2025 Set 1 — Question 46

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NAT+2 / -0MediumDirectional DerivativesVector CalculusEngineering Mathematics

Engineering Mathematics → Vector Calculus → Directional Derivatives

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Question

The directional derivative of the function ff given below at the point (1,0)(1, 0) in the direction of 12(i^+3j^)\frac{1}{2}(\hat{i} + \sqrt{3} \hat{j}) is ____________ (rounded off to 1 decimal place).f(x,y)=x2+xy2f(x, y) = x^2 + xy^2
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