Consider the function f(x,y)=-2x²+12x-6y²+4y+4xy+24. (a) Find the partial derivatives of f(x,y). fx(x,y)= fy(x,y)= (b) Find the critical point of f. (x,y)=( ) (c) Use a partial derivative to approximate the value of (d) Which is larger? Use a partial derivative to justify your answer. f(2,0.0001)-f(2,0) 0.0001 f(2.0001,0)-f(2,0) 0.0001 f(2.0001,0)-f(2,0) 0.0001

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