vnd line directional derivative of the function f(x,y)=In (1+x² + y²) where u= 0√10+2√√10x 10+ 10x+10y² O√10+2√/10 x 3√10+6√/10y 10+ 10x²+10y² 10+ 10x²+10y² O 3√/10+6/10y 10+ 10x²+10y² 0 1+2x -3+6y √10+√10x²+√102 √10+√10x²+√√102 1+2x 3+6y √10+√10x²+√10y² √10+√10x²+√10² 3 10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 60E
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ind ine directional derivative of the function f(x,y) = ln (1+x² + y²) where u
010+2√10x
3√/10+6/10y
+
10+ 10x+10y2 10+ 10x²+10y
O
2
√10+2√10x 3√/10+6/10y
10+ 10x²+10y² 10+ 10x²+10y ²
2
1+2x
-3+6y
√10+√10x²+√102 √10+√10x²+√//102
1+2x
3+6y
√10+√10x²+√√10² 10+√10x²+√102
1
10
10
Transcribed Image Text:ind ine directional derivative of the function f(x,y) = ln (1+x² + y²) where u 010+2√10x 3√/10+6/10y + 10+ 10x+10y2 10+ 10x²+10y O 2 √10+2√10x 3√/10+6/10y 10+ 10x²+10y² 10+ 10x²+10y ² 2 1+2x -3+6y √10+√10x²+√102 √10+√10x²+√//102 1+2x 3+6y √10+√10x²+√√10² 10+√10x²+√102 1 10 10
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