IITM BS Question 19 - Week 9 Practice

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IITM BS Question 19 - Week 9 Practice | Prasnya

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Q19Comprehension1 Mark31 Aug 2025

Passage

Based on the above data, answer the given subquestions. Consider the function

f: \mathbb{R}^2 \to \mathbb{R}

defined by

f(x, y) = \begin{cases} \frac{xy^3}{x^2 + y^6} & \text{if } (x, y) \neq (0, 0) \\ 0 & \text{if } (x, y) = (0, 0) \end{cases}

Find the directional derivative of f at

(0, 0)

in the direction (1/2, -sqrt(3)/2).

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Q19

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31 Aug 2025

Mathematics 2 · Week 9

Q19.Find the directional derivative of f at

(0, 0)

in the direction (1/2, -sqrt(3)/2).@passage

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