Find the directional derivative of f (x, y, z) = 2z²x + y° at the point (2, 1, 2) in the direction of the vector 1 2 i+ (Use symbolic notation and fractions where needed.) directional derivative:
Find the directional derivative of f (x, y, z) = 2z²x + y° at the point (2, 1, 2) in the direction of the vector 1 2 i+ (Use symbolic notation and fractions where needed.) directional derivative:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem Statement:**
Find the directional derivative of \( f(x, y, z) = 2x^2x + y^3 \) at the point \( (2, 1, 2) \) in the direction of the vector \( \frac{1}{\sqrt{5}} \mathbf{i} + \frac{2}{\sqrt{5}} \mathbf{j} \).
*(Use symbolic notation and fractions where needed.)*
**Input Box:**
Direction derivative: [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51ff2e68-0bd1-44c4-8696-122fa89f1551%2F84326955-ea8e-40e4-9bb0-31692369d7d8%2F33ffagh_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the directional derivative of \( f(x, y, z) = 2x^2x + y^3 \) at the point \( (2, 1, 2) \) in the direction of the vector \( \frac{1}{\sqrt{5}} \mathbf{i} + \frac{2}{\sqrt{5}} \mathbf{j} \).
*(Use symbolic notation and fractions where needed.)*
**Input Box:**
Direction derivative: [ ]
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