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Evaluate
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Differentiate w.r.t. x
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x^{2}+4xy+y^{2}+12x-6y+2xy+9y^{2}-5x+8y
Combine 3x^{2} and -2x^{2} to get x^{2}.
x^{2}+6xy+y^{2}+12x-6y+9y^{2}-5x+8y
Combine 4xy and 2xy to get 6xy.
x^{2}+6xy+10y^{2}+12x-6y-5x+8y
Combine y^{2} and 9y^{2} to get 10y^{2}.
x^{2}+6xy+10y^{2}+7x-6y+8y
Combine 12x and -5x to get 7x.
x^{2}+6xy+10y^{2}+7x+2y
Combine -6y and 8y to get 2y.