Let h be a function defined for all x not equal to 0 such that h(4) = - 3 and the derivative of h is given by h'(x) = (x∧2 - 2)/x for all x not equal to 0.a. Find all values of x for which the graph of h has a horizontal tangent , and determine whether h has a local maximum, local minimum of neither at each of these values. Justify your answers.b. On what intervals, if any, is the graph of h concave up? Justify your answer.c. Write an equation for the line tangent to the graph of h at x = 4.d. Does the line tangent to the graph of h at x = 4 lie above or below the graph of h for x > 4? Why?