Find the directional derivative of f at the given point in the direction indicated by the angle 0. f(x,y)=√xy, (1,3), 0 = π/6 1/2 (3+√/³) 4 b. 1/2 (3+√3) a. C. 1²/ ( √3+√³) d. 1/2 (3+√3) e. 14 (3-√3³)

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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Find the directional derivative of f at the given point in the direction indicated by the angle 0.
f(x,y)=√xy, (1,3), 0 = π/6
a.
b.
C.
d.
e.
1/1 (3+√³)
4
1/2 (3+√3)
1²/ (√ 3 + √²³)
3
— (3+√3)
4
√3
+ (₁-4)
3
4
3
Transcribed Image Text:Find the directional derivative of f at the given point in the direction indicated by the angle 0. f(x,y)=√xy, (1,3), 0 = π/6 a. b. C. d. e. 1/1 (3+√³) 4 1/2 (3+√3) 1²/ (√ 3 + √²³) 3 — (3+√3) 4 √3 + (₁-4) 3 4 3
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