having problems finding critical points for this two equation to fined the maximum,minimum or saddle points.
b) f(x,y)= ,
need help to find the critical points for this two equations,really hope someone can help me. really appreciate all your help & support.
Mar 12th 2010, 06:29 AM
How far have you come in your attempts? Where do critical points for a given function occur?
Mar 12th 2010, 06:44 AM
thank you for replying.
im stuck here, unable to find the critical point
x=1 & -1
critical point, = (1,1) & (-1,1) ..is this right???
realyl hope someone can help, appreciate all help & support.
Mar 12th 2010, 07:16 AM
a: Remember that the two derivatives form a system of equations:
or (see why?)
What values for critical points does this give you?
b: Seems right to me, so far, however, you are being a little hasty. It's quite right that implies that
but it also implies that . See what you missed?
Mar 12th 2010, 07:45 AM
thank you for replying,
x= -1,0 & 1
critical points=(-1,-1)(0,0) & (1,1)
b)you are right, but is my final answer for critical point correct?
critical point=(1,1) & (-1,1) .. i think it has to be correct..not sure,a bit confused though