Find the derivative of f at the point P( – 3, – 2) in the direction of = ( – 1, – 1) | -(– 3, – 2) = 0.848528 X In which direction is the largest directional derivative? Please give a unit vector in is direction.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 51E
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%

This is a calculus 3 problem. I'm having trouble with part b) and part c). Please explain each step clearly, no cursive writing. 

 

In this question please round any answers to the nearest hundredth if necessary.
f(x, y) = –0.02x²y³
Transcribed Image Text:In this question please round any answers to the nearest hundredth if necessary. f(x, y) = –0.02x²y³
b) Find the derivative of f at the point P( – 3, – 2) in the direction of
i = ( – 1, – 1)
-
fu( – 3, – 2) = |0.848528 X
c) In which direction is the largest directional derivative? Please give a unit vector in
this direction.
U max
-0.406i-0.! X
Transcribed Image Text:b) Find the derivative of f at the point P( – 3, – 2) in the direction of i = ( – 1, – 1) - fu( – 3, – 2) = |0.848528 X c) In which direction is the largest directional derivative? Please give a unit vector in this direction. U max -0.406i-0.! X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell