solve and show work please

Differentiate each function with respect to x. 1) y= et 2) y= esx' 3) y = In x2 4) y = In 3x3 5) y = log, 4x* 6) y = log , 2x2 7) y = 52xs 8) y =34x 9) yz er 10) y = In (e* + 2) (Hint: Double Chain Rule) 11) y =(2x4 + 3) . e2x (Hint: Product rule) 12) y = = * + 4 In 2.x2 (Hint: Quotient rule) 13) Given: 14) From question number 9, we saw that a a. Graph 2x - 12x + 14 = f(x) (use function is increasing when its derivative desmos or graphing calcutor or if you (i.e. its slope) is positive. Use this wanna show off, do it without principle to determine where the function technology) g(x) given below is increasing. b. By looking at the graph of f(x), on g(x) = 4x + 6x what interval is the function increasing? from x = to x = c. Find f'(x) d. Graph f'(x) e. By looking at the graph of f'(x), on what interval is f'(x) positive (i.e. above the x axis)? From x = to X = f. Compare your answer from part e with part b. What do you notice? Explain why you think it is that way