In what direction is the derivative of f(x,y)= xy +y at P(4,9) equal Select the correct choice below and, if necessary, fill in the answer
In what direction is the derivative of f(x,y)= xy +y at P(4,9) equal Select the correct choice below and, if necessary, fill in the answer
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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![### Derivative Calculation Problem
**Problem Statement:**
In what direction is the derivative of \( f(x, y) = xy + y^2 \) at the point \( P(4, 9) \) equal to zero?
**Task:**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
**Options:**
- **A.** \( \mathbf{u} = \) [Enter your answer in the box]. (Simplify your answer. Use a comma to separate answers as needed. Type your answer in terms of \( i \) and \( j \).)
- **B.** There is no solution.
**Instructions:**
Click to select and enter your answer(s) and then click "Check Answer."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffaca5e74-2c5e-414f-b942-28feaa05645e%2Fd9b77e09-06d6-43a0-beac-d590d9242b7c%2F9ebqll_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Derivative Calculation Problem
**Problem Statement:**
In what direction is the derivative of \( f(x, y) = xy + y^2 \) at the point \( P(4, 9) \) equal to zero?
**Task:**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
**Options:**
- **A.** \( \mathbf{u} = \) [Enter your answer in the box]. (Simplify your answer. Use a comma to separate answers as needed. Type your answer in terms of \( i \) and \( j \).)
- **B.** There is no solution.
**Instructions:**
Click to select and enter your answer(s) and then click "Check Answer."
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