Questions 13 14 15 16

13. Let f(x) = -5x2 + 22 (a) Find the derivative of f. (b) Find the equation of the tangent line at x = 25. (c) Find the rate of change of f at x = 9. 14. Find the point(s) on the curve y = 242 where the tangent line is horizontal. 15. In each case, find the derivative of f. (a) f(x) = (-32 + 1)(23+5)8 3x - 2 (b) f (x) = V 3x +2 16. Find the equation of the tangent line to the curve y = (-2+ 2)4(22 + 1)5 at P(0, 16)