a) Find the directional derivative of the function at the given points in the direction of vector v. h(x, y, z) = cos(xy) + ey² + Inyz, Po(1,0, ¹/2), v = i + 2j+2k. b) Find the local extreme values of f(x,y) = x² + 3xy + 3y² - 6x + 3y - 6. Solution # 5 (to be typed here by the student)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
icon
Related questions
Question
Q#5:
a) Find the directional derivative of the function at the given points in the direction of vector v.
h(x, y,z) = cos(xy) + evz + Inyz, Po(1,0,1/,), v = i+ 2j + 2k .
b) Find the local extreme values of f(x,y) = x² + 3xy + 3y² – 6x + 3y – 6.
Solution#5 (to be typed here by the student)
Transcribed Image Text:Q#5: a) Find the directional derivative of the function at the given points in the direction of vector v. h(x, y,z) = cos(xy) + evz + Inyz, Po(1,0,1/,), v = i+ 2j + 2k . b) Find the local extreme values of f(x,y) = x² + 3xy + 3y² – 6x + 3y – 6. Solution#5 (to be typed here by the student)
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer