If u =< sin 0, - cos > and Vƒ (−2, 5) = 3u, then the minimum value of the directional derivative Du f(−2, 5) is attained in the direction of u.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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True or false.

If u =< sin 0,
cos > and
Vƒ (−2, 5) = 3u, then the
minimum value of the directional
derivative Du f(−2, 5) is attained
in the direction of u.
—
Transcribed Image Text:If u =< sin 0, cos > and Vƒ (−2, 5) = 3u, then the minimum value of the directional derivative Du f(−2, 5) is attained in the direction of u. —
If f and g are polynomial functions
in one variable, then
r3
ſ¹₂ ſ³ 8ƒ(³) tan¯¹(g(x))dydx = (
-2
Transcribed Image Text:If f and g are polynomial functions in one variable, then r3 ſ¹₂ ſ³ 8ƒ(³) tan¯¹(g(x))dydx = ( -2
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