5 Consider the function
f(x,y)=x^(4)-x^(2)+y^(2)+2xy+1
(a) There is a stationary point at the origin ; Find the location(s) of any other stationary points. [3 marks] (b) Find the nature of the stationary point at the origin. [2 marks] (c) Along the curve
y=x^(2)
, for positive
x
, what is the minimum value of the function
f(x,y)
? [3 marks]