Suppose that g is a function of two independent variables that has continuous partial derivatives, and consider the points P(6,4), Q(10,4), R(6, 20) and S(17, 20). You are given that the directional derivative of g at P in direction PQ is 10, whilst the directional derivative of g at P in direction PR is 17. Find the directional derivative of g at P in direction PS.

Suppose that g is a function of two independent variables that has continuous partial derivatives, and consider the points P(6,4), Q(10,4), R(6, 20) and S(17, 20). You are given that the directional derivative of g at P in direction PQ is 10, whilst the directional derivative of g at P in direction PR is 17. Find the directional derivative of g at P in direction PS.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 25E

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