Find the directional derivative of the function z(x, y) = 1 – +) at the point M(,), in the direction of the vector u which is the direction of the normal line at b2. b V2' this point M(xo, Yo) to the curve 1 = y²

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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d. Find the directional derivative of the function z(x, y) :
= 1-
at the point
M
V2
in the direction of the vector u which is the direction of the normal line at
this point M(x0, yo) to the curve 1 =
\a²
b²,
Transcribed Image Text:d. Find the directional derivative of the function z(x, y) : = 1- at the point M V2 in the direction of the vector u which is the direction of the normal line at this point M(x0, yo) to the curve 1 = \a² b²,
Expert Solution
Step 1rdfedfcfdfd87u

To calculate the directional derivative of the below function at the point Ma2,b2 in the direction of vector u.

z=f(x,y)=1x2a2+y2b2

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