Assignment # 2 MTH 631
Spring 2024, Maximum Marks: 20, Due Date: 24 June, 2024
INSTRUCTIONS
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Question #1:
Define the differentiability of functions of several variables and then use this to check the
differentiability of the function 𝑓(𝑥, 𝑦) = 𝑥 2 𝑦 at the point (1,2).
Question # 2:
Define the directional derivative of a point 𝑋⃑ in 𝑅 𝑛 in the direction of 𝜙⃑⃑ . Then using this
formula find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 2 𝑦 + 𝑦 3 in the direction of 𝜙⃑⃑ = (1,2) at the
point (1,1).