Suppose that g is a function of two independent variables that has continuous partial derivatives, and consider the points P(8,6), Q(7,6), R(8,18) and S(6,7). The directional derivative of g at P in the direction of the vector PQ→ is 4, whilst the directional derivative of g at P in the direction of PR→ is 4.   Find the directional derivative of g at P in the direction of the vector PS→. Give your answer correct to 2 decimal places.   DPS→g(P)=

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Suppose that g is a function of two independent variables that has continuous partial derivatives, and consider the points P(8,6), Q(7,6), R(8,18) and S(6,7). The directional derivative of g at P in the direction of the vector PQ→ is 4, whilst the directional derivative of g at P in the direction of PR→ is 4.

 

Find the directional derivative of g at P in the direction of the vector PS→. Give your answer correct to 2 decimal places.

 

DPS→g(P)=

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