**Problem:** Find the directional derivative of the function \( f(x, y) = x^2 + y^2 \) at the point \((2, 1)\) in the direction \(\langle 1, 1 \rangle\). **Options:** A) \( \frac{3}{\sqrt{2}} \) B) \( \frac{7}{\sqrt{2}} \) C) \( 7 \) D) \( 3 \) E) None of these
**Problem:** Find the directional derivative of the function \( f(x, y) = x^2 + y^2 \) at the point \((2, 1)\) in the direction \(\langle 1, 1 \rangle\). **Options:** A) \( \frac{3}{\sqrt{2}} \) B) \( \frac{7}{\sqrt{2}} \) C) \( 7 \) D) \( 3 \) E) None of these
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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