<prompt> Differentiate the given function.y x3 x2  <response>: To differentiate the function y x3 x2, we can use the power rule of differentiation. The power rule states that if a function fx xn, then its derivative is given by fx n xn-1. Applying this rule to the given function, we get:y x3 x2dydx 3x2 2xSo the derivative of the function y x3 x2 is dydx 3x2 2x. 