A problem by sid leo

Alok nath has decided to celebrate a sanskari [well-mannered] valentines day By climbing kailash mountains....assuming an arbitrary point as origin ,the elevatio of mountain Is given as a function of latitude X and longitude Y As per de following equation :- F(x,y)=2 - [X^2] + 2x + 2y - [y^2] + xy Being a keen student of optimisation ,he wants to optimise his climbe towards de peak...assuming no limitation on his ability to climb, And the starting point as x0=(-2,-1) Determine his next two steps (x1 and x2) If the climbing philosophy is based on pure Newton's method......

Umm basically i dunno de answer and have no idea how to do it coz i am nt taught till date wat is newtons method.....so inorder to post dis problem i need to give an answer....so i have given a random answer.....so please do not follow it...this question was taken frm one of exams conducted by iit bombay.....