Suppose f is a continuous function, and the following facts hold: f(2,10,9) = 8, and Duf(2,10,9) = -3, where û = (8,14,11) I|({8,14,11)|| If, from point (2,10,9), one moves a distance of . 003 units along vector û to a new point, then what will the approximate value of f be at this new point (give your answer to 3 decimal places)?
Suppose f is a continuous function, and the following facts hold: f(2,10,9) = 8, and Duf(2,10,9) = -3, where û = (8,14,11) I|({8,14,11)|| If, from point (2,10,9), one moves a distance of . 003 units along vector û to a new point, then what will the approximate value of f be at this new point (give your answer to 3 decimal places)?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
Related questions
Topic Video
Question
Please give a full explanation to the answer and each of the steps.
Expert Solution
Solution:
Definition:
Directional derivative is the rate of change of in the direction of the unit vector .
The definition of the directional derivative is,
Given:
Step by step
Solved in 2 steps
Knowledge Booster
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
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage