Question: (can you solve a and b) Question 1 (12 marks) Let f(x,y)=8x372xy+8y3 (a) Calculate xf,yf,x22f,y22f and xy2f(5 marks ) (b) Find all critical points of

(can you solve a and b) Question 1 (12 marks) Let f(x,y)=8x372xy+8y3

(can you solve a and b)

Question 1 (12 marks) Let f(x,y)=8x372xy+8y3 (a) Calculate xf,yf,x22f,y22f and xy2f(5 marks ) (b) Find all critical points of f(x,y) and explain whether these are local maxima, local minima or saddle points. Show all calculations. (7 marks)

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