Silicon is an important conductor in electronics used for computers. The amount of heat dissipation due to an electrical current passing through the silicon conductor depends on how much pure the silicon is. The following equation describes how much power is dissipated from the silicon chip with respect to some factor (x) indicating the purity of the silicon used: P(x) = x 4 -2x2+2 What is the purity value (x) that minimizes the power dissipated? Justify your answer by further differentiation.