Find the directional derivatives of the following functions at the specified point for the specified direction. 1. f(x, y) = 3√x - y³ at the point (1, 3) in the direction toward the point (3,1)

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 derivatives of the following functions at the specified point for the
specified direction.
1. f(x, y) = 3√√√x – y³ at the point (1,3) in the direction toward the point (3,1)
2. f(x, y) = (x + 5)eª at the point (3,0) in the direction of the unit vector that makes
the angle = π/2 with the positive x-axis.
Transcribed Image Text:Find the directional derivatives of the following functions at the specified point for the specified direction. 1. f(x, y) = 3√√√x – y³ at the point (1,3) in the direction toward the point (3,1) 2. f(x, y) = (x + 5)eª at the point (3,0) in the direction of the unit vector that makes the angle = π/2 with the positive x-axis.
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