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PROBLEM (8): Find the directional derivative of (i) O = x yz at the point (1, 1,1) in the direction i+i+k. O = 4 x z-3 xy?z at the point ( 2,-1,2) in the direction 2 i-3 j+ 6 k. $ = 4 x z'-3 x²y'z at the point (2,-1,2) along z-axis. $ = x?+y +z? at the point (1,1,0) in a direction towards the point ( 2 , 1, 1) (ii) %3D (iii) (iv)

PROBLEM (8): Find the directional derivative of (i) O = x yz at the point (1, 1,1) in the direction i+i+k. O = 4 x z-3 xy?z at the point ( 2,-1,2) in the direction 2 i-3 j+ 6 k. $ = 4 x z'-3 x²y'z at the point (2,-1,2) along z-axis. $ = x?+y +z? at the point (1,1,0) in a direction towards the point ( 2 , 1, 1) (ii) %3D (iii) (iv)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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PROBLEM (8): Find the directional derivative of (1) = x yz at the point (1,1,1) in the direction i+ +k. (ii) O = 4 x z' -3 xyz at the point (2,-1,2) in the direction 2 i - 3 j+ 6 k. %3! (iii) * = 4 x z' -3 x²y?z at the point (2,-1,2) along z-axis %3D (iv) $ = x? +y? +z? at the point (1, 1,0) in a direction towards the point (2 , 1, 1) deriuativre of
Transcribed Image Text:PROBLEM (8): Find the directional derivative of (1) = x yz at the point (1,1,1) in the direction i+ +k. (ii) O = 4 x z' -3 xyz at the point (2,-1,2) in the direction 2 i - 3 j+ 6 k. %3! (iii) * = 4 x z' -3 x²y?z at the point (2,-1,2) along z-axis %3D (iv) $ = x? +y? +z? at the point (1, 1,0) in a direction towards the point (2 , 1, 1) deriuativre of
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