The derivaive of f(x, y, z) at a point P is greatest in the direction given by In this direction, the value of the derivative is 2/3. a. Find Vfp. Vf\p ab = sin (a) ab 8 Or sin (a) 8 Ox *** FREE b. Find the directional derivative of fat P in the direction given by u-41; +44k. D.f(P) = f C XX S C -91 +95-97. CX $2 ET B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The derivaive of f(z, y, z) at a point P is greatest in the direction given by
In this direction, the value of the derivative is 23.
a. Find Vflp.
Vf\p=
sin (a)
-|
sin (a)
8
Ox
8
f
XXX
b. Find the directional derivative of fat P in the direction given by -41; +44k.
D.;f(P)
R
00
(X
a
5-91 +95-97.
$2
1
Transcribed Image Text:The derivaive of f(z, y, z) at a point P is greatest in the direction given by In this direction, the value of the derivative is 23. a. Find Vflp. Vf\p= sin (a) -| sin (a) 8 Ox 8 f XXX b. Find the directional derivative of fat P in the direction given by -41; +44k. D.;f(P) R 00 (X a 5-91 +95-97. $2 1
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