Mathematics in Economics – lecture 8 – repetition – 10 points reward


1. Find extremes point of the function y = 4x^3 – 6x^2 + 15.
       3 points





2. Draw in the x-y plane the domain of the function of two variables: f(x,y) = log(x^2 + y^2 –
64).
                                    2 points






3. Find partial derivatives of the first and second order of the function: f(x,y) = 4x^3+ 6xy +
siny
                                   2 points







4. Find extremes of the function of two variables: f(x,y) = x^3 + y^3 – 3xy.
 3 points