SOLUTION: Hi, Please help me to find the extreme values of: {{{f(x,y)=x^2-y^2+3xy-x+2y+4}}}, where the partial derivative of f with respect to x is zero and the partial derivative of f with

Question 1117635: Hi,
Please help me to find the extreme values of: , where the partial derivative of f with respect to x is zero and the partial derivative of f with respect to y is also zero.
Thank you very much.

Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.
There is nothing easier than that.

1.  Take the derivative with respect to x and equate it to zero. You will get

    2x + 3y = 1.   (1)



2.  Take the derivative with respect to y and equate it to zero. You will get

    3x - 2y = -2.   (2)



3.  Solve the system of two linear equations (1) and (2) to get the answer

    x = ,  y = .

You just are Calculus, correct ?

Should I explain to the person taking Calculus, how to solve a 2x2-system of linear equations ?

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