How are you?
f(x,y)=xe−x−y
What's the maximum value in the area encapsulated by the x- and y-axis and y = 1/2-x and y = 3/2 - x
∂x∂f=e−x−y(1−x)
∂y∂f=−xe−x−y
The first one is zero for x = 1 and the second for x = 0. Does this tell me no max/min exists??
Will I then have to search for the values on one of the lines y = 1/2-x or y = 3/2 - x?
Best regards!
f(x,y)=xe−x−y
What's the maximum value in the area encapsulated by the x- and y-axis and y = 1/2-x and y = 3/2 - x
∂x∂f=e−x−y(1−x)
∂y∂f=−xe−x−y
The first one is zero for x = 1 and the second for x = 0. Does this tell me no max/min exists??
Will I then have to search for the values on one of the lines y = 1/2-x or y = 3/2 - x?
Best regards!