If f(x, y) = 2x² + 5y? and u is the unit vector in the direction of *, which of the following expressions equals Duf(x,y)? 2 V3 t. 2 Ch) - (2a? – (2x² + 5y²) 2 x + +5| у + 2 lim h→0 h 2 2 1 2| x 2 V3 +5( y 2 – (2æ² + 5y²) - | - lim h→0 h 2 3, 2 x + 2 1 + 5( y+ -h 2 – (2x² + 5y²) lim h→0 h 2 2, 2 x + 2 +5(y+ – (2x² + 5y²) - 2 lim h→0 h

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If f(x, y) = 2x² + 5y? and u is the unit vector in the direction of
*, which of the following expressions equals Du f(x, y)?
IT
6
2
2
V3.
+5( y+
2
– (2æ² + 5y²)
2 x +
-
lim
h→0
h
2
V3
+ 5( y
2
1
) – (2x² + 5y²)
2| x
-h
-
2
lim
h→0
h
V3
1
+ 5| y+
– (2x² + 5y²)
2 x +
-h
+
-
lim
h→0
h
2
V2
2 x +
2
+ 5| y+
2
- (2a² + 5y²)
-
lim
h→0
h
Transcribed Image Text:If f(x, y) = 2x² + 5y? and u is the unit vector in the direction of *, which of the following expressions equals Du f(x, y)? IT 6 2 2 V3. +5( y+ 2 – (2æ² + 5y²) 2 x + - lim h→0 h 2 V3 + 5( y 2 1 ) – (2x² + 5y²) 2| x -h - 2 lim h→0 h V3 1 + 5| y+ – (2x² + 5y²) 2 x + -h + - lim h→0 h 2 V2 2 x + 2 + 5| y+ 2 - (2a² + 5y²) - lim h→0 h
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