2022-09-18, 3:00 11. Find the slope of the normal to the curve y = V1 + 12 at the point (2, 5). 12. Calculate the derivatives of the following functions. (You may use appropriate rules and formulae.) (a) f(2) =a b 4 - 2x3 + 72 + 3x C - e (a, b, c, d, e are constants) (b) g'(64) where g(x) = z-3 212 + 3 (c) f (2) = 4+ u2022-09-18, 3:00 P 10. (a) Let f (x) = 2-. Find f'(r) directly from the definition of the derivative as a limit. (b) Find the slope of the tangent to f(x) = 2 - at the point (1, 2 (c) Find the equation of the tangent to f(x) = , at 2 - at the point (1,2022-09-1 8. Calculate each limit, if it exists. Justify any cancelling. I'm (x- 1 72 - 1) (b) lim 12 + I -20 I - -5 12 - 25 (c) lim |z - 31 1-+3+ x2- 9 525 + 3x3 - 7 (d) lim -40 4+ 2x+11252022-09-18, 3:00 7. (a ) 3x + 3 if - 2