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Hokiehigh
 3 years ago
Multicalculus problem.
let f(x,y)=(xy)/(x+y), find the directions u and the values of Duf(1/2,3/2) for which
a) Duf(1/2,3/2) =is largest
b) Duf(1/2,3/2) = 0
c) Duf(1/2,3/2)=1
Hokiehigh
 3 years ago
Multicalculus problem. let f(x,y)=(xy)/(x+y), find the directions u and the values of Duf(1/2,3/2) for which a) Duf(1/2,3/2) =is largest b) Duf(1/2,3/2) = 0 c) Duf(1/2,3/2)=1

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Hokiehigh
 3 years ago
Best ResponseYou've already chosen the best response.0directional derivative

cinar
 3 years ago
Best ResponseYou've already chosen the best response.1Df=(2y/((x+y)^2,2x/(x+y)^2) (2y/((x+y)^2,2x/(x+y)^2).(1/2,3/2)

cinar
 3 years ago
Best ResponseYou've already chosen the best response.1(2y/((x+y)^2,2x/(x+y)^2).(1/2sqrt2,3/2sqrt2)

Hokiehigh
 3 years ago
Best ResponseYou've already chosen the best response.0I think I see what your saying. Thank you

cinar
 3 years ago
Best ResponseYou've already chosen the best response.1sorry (2y/((x+y)^2,2x/(x+y)^2).(1/sqrt10,3/2sqrt10)

cinar
 3 years ago
Best ResponseYou've already chosen the best response.1(2y/((x+y)^2,2x/(x+y)^2).(1/sqrt10,3/sqrt10)

cinar
 3 years ago
Best ResponseYou've already chosen the best response.12/sqrt10(1/(x+y)) I guess this is the answer..

cinar
 3 years ago
Best ResponseYou've already chosen the best response.1I just looked at this web site http://tutorial.math.lamar.edu/Classes/CalcIII/DirectionalDeriv.aspx#PD_DirectDeriv_Ex2a
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