Q4: Find the derivative of the function at P, in the direction of A 2 1) f(x, y) = 2xy-3y², P. (5,5), A=4i+3j 2) g(x,y)=x-(y²/x)+ √√3 sec¹(2xy). P(1,1), A=12i+5j f(x, y, z)= xy + yz + xz, P(1,-1,2), A = 3i+6j-2k 3) 4) g(x, y, z)=3e* cos(yz), P (0,0,0), A=2i+j−2k

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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Q4: Find the derivative of the function at P。 in the
direction of A
2
1)_ƒ(x, y)=2xy− 3y², P. (5,5), A = 4i +3j
2)
g(x,y)=x-(y²/x)+√3 sec¹(2xy), P. (1,1), A=12i+5j
f (x, y, z) = xy + yz + xz, P. (1,−1,2), A = 3i+ 6j − 2k
3)
4) g(x, y, z)=3e* cos(yz), P(0,0,0), A=2i+j−2k
Transcribed Image Text:Q4: Find the derivative of the function at P。 in the direction of A 2 1)_ƒ(x, y)=2xy− 3y², P. (5,5), A = 4i +3j 2) g(x,y)=x-(y²/x)+√3 sec¹(2xy), P. (1,1), A=12i+5j f (x, y, z) = xy + yz + xz, P. (1,−1,2), A = 3i+ 6j − 2k 3) 4) g(x, y, z)=3e* cos(yz), P(0,0,0), A=2i+j−2k
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