f(x, y) = 5eª cos y, (a,b) = (0, 7), a. Calculate the directional derivative of f at the point (a, b) in the direction defined by 7. & P b. Find the direction at (a, b) in which the rate of change of f is greatest. and v = (5,3). c. Find the maximum rate of change. 团 d. Fill in the blank: f decreases the most at (a, b) in the direction of
f(x, y) = 5eª cos y, (a,b) = (0, 7), a. Calculate the directional derivative of f at the point (a, b) in the direction defined by 7. & P b. Find the direction at (a, b) in which the rate of change of f is greatest. and v = (5,3). c. Find the maximum rate of change. 团 d. Fill in the blank: f decreases the most at (a, b) in the direction of
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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