2 5 If the directional derivative value (Duf) of the function f(x,y) = x²-3x4 + 4y at Point (-2,0) in direction of a unit vector (u= Ai +Bj) is & and its value at Point (3+2) in the same direction is 261, find the unit vector (u) then find value of the directional derivative (Duf) in the direction of the unit vector (u) at the point (tl). 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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2.
5
If the directional derivative value (Duf) of the function
+ (xry) = x²-3x4 + 4y at Point (-2,0) in direction of
a unit vector (U=Ai+Bj) is ² and its value at
Point (302) in the same direction is 261, find the unit
Vector (U) then find value of the directional derivative
(Duf) in the direction of the unit vector (u) at
the point (11).
5
fir
n
nu
Transcribed Image Text:2. 5 If the directional derivative value (Duf) of the function + (xry) = x²-3x4 + 4y at Point (-2,0) in direction of a unit vector (U=Ai+Bj) is ² and its value at Point (302) in the same direction is 261, find the unit Vector (U) then find value of the directional derivative (Duf) in the direction of the unit vector (u) at the point (11). 5 fir n nu
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