(a) Find the local extrema and saddle points of the function (x,y) = + -2y-xy+y+1 (b)...

 

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(a) Find the local extrema and saddle points of the function (x,y) = + -2y-xy+y+1 (b) Use Taylor's approximation around the point (x,y)=(0,0) to obtain an approximation of the above function up to 1st power of x,y (c) Repeat part (b) around the point (x, y) = (1,2). (a) Find the local extrema and saddle points of the function (x,y) = + -2y-xy+y+1 (b) Use Taylor's approximation around the point (x,y)=(0,0) to obtain an approximation of the above function up to 1st power of x,y (c) Repeat part (b) around the point (x, y) = (1,2).