
Critical point question
hi everyone
having problems finding critical points for this two equation to fined the maximum,minimum or saddle points.
a)
,
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.

How far have you come in your attempts? Where do critical points for a given function occur?

thank you for replying.
a) ,
im stuck here, unable to find the critical point
b)
x=1 & 1
critical point, = (1,1) & (1,1) ..is this right???
realyl hope someone can help, appreciate all help & support.

a: Remember that the two derivatives form a system of equations:
imply that
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?

thank you for replying,
a)
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
is this correct?
thank you again for all help & support.