5.Consider the curve given by x^3 y^2 − 5x + y = 3.
(a)Find .(b)Find .(c)Find the equation of the normal lines at each of the two points on the curve whose x-coordinate
is −1.6.Let f be the function given by f(x) = 3x^3 − 6x^2 + 4x.
(a)Find an equation for the normal line at x = 2.
(b)Where are the relative maxima and minima of the curve, if any exist? Verify your answer.
(c)Where are the points of inflection? Verify your answer. If there are none, explain why.