Find the direction N from P0(sqrt(π)/3,sqrt(π)/2) in which the function f=sin(xy) increases most rapidly and compute the magnitude of the greatest rate of increase.     N=________ i+__________ j     ∥N∥=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 54E
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Find the direction N from P0(sqrt(π)/3,sqrt(π)/2) in which the function f=sin(xy) increases most rapidly and compute the magnitude of the greatest rate of increase.    

N=________ i+__________ j    

∥N∥= __________

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