Question 11. Find the following derivatives (a) f(x) = 5x15+32-2/5 + 12x-1+ Vx-8 (e) [ d 100t 4 360 ( b) y = (5m + 2) (7m - 3) (f) y = 72043# + e + In(3) - logs(712 -12) (c) Dx V0.002x3 - 4x - 12.1 (g) P(s) = 0.000530.03 - 1.5s + 2.3 (d) g(x) = 5 - ex 2 4x3 - 1 (h) f (2) = - 3/3x2 - x+ 41n(x) (E) & () Question 12. Find the derivative of f(s) = (8s10 - In(s-2) ) (3-25+5 - 6) ] Question 13. Find the derivative of h(x) =- (7 - 8x3)4. Simplify.Question 14. The total worldwide box-office receipts for a long-running movie are approximated by the function 120.? T(x) = 12 4 4. where T(x) is measured in millions of dollars and a is the number of years since the movie's release. (a) Determine the function needed to find how fast the receipts are changing after a years. (b) How fast are the receipts changing after 1 year? (c) How fast are the receipts changing after 5 years? (d) How fast are the receipts changing after 10 years? (e) What do you think this tells us about the box-office receipts as the years go on? Find and interpret the following: ( f) I (1 ) (g) T(5) (h) T(10) (i) Find and interpret lim T(x). (j) What connection is there between (e) and (i)