6. The final answer to the following question is incorr Tell me, in your words, about the mistake that was made. Question: Find the derivative of f(x, y) = -5xy – y² at the point (-2, Solution: af Step 1: Step 2: -5y Te -5x – 2y fig Step 3: V/ 3 (-5у)i + (-52 — 2у)j Step 4: Vfl(-2,0) = 0i + 10j Step 5: D7i+8jf = (0, 10) · (7, 8) Step 6: D7i+8jf = 80 (final answer)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6. The final answer to the following question is incorrect.
Tell me, in your words, about the mistake that was made.
Question:
Find the derivative of f(x, y) = -5xy – y? at the point (-2,0) in the direction of 7i + 8j.
Solution:
Step 1: *
Step 2: = –5x – 2y
Step 3: Vf = (-5y)i + (-5x – 2y)j
Step 4: Vfl(-2,0) = 0i + 10j
Step 5: Dri+8jf = (0, 10) · (7, 8)
Step 6: D7i+8jf = 80 (final answer)
= -5y
dy
Transcribed Image Text:6. The final answer to the following question is incorrect. Tell me, in your words, about the mistake that was made. Question: Find the derivative of f(x, y) = -5xy – y? at the point (-2,0) in the direction of 7i + 8j. Solution: Step 1: * Step 2: = –5x – 2y Step 3: Vf = (-5y)i + (-5x – 2y)j Step 4: Vfl(-2,0) = 0i + 10j Step 5: Dri+8jf = (0, 10) · (7, 8) Step 6: D7i+8jf = 80 (final answer) = -5y dy
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