Question 20 and 30 f^'(x)

27. f( x ) = e'+ x 28. f( x) = 3x6 - 2e" 29. f(x) = ur 30. f( x) = eel B In Problems 31-38, find the equation of the line tangent to the graph off at the indicated value of x. 42. Refer to Problem 4 36. ((() = 1+ hex= /(x) = In x at 38. f( x ) = 5e: x = 1 other lines tangent to origin? Explain, D N prime video DELLalgebraic simplification coffee when differentiating a product, use the product rule rather than performing the multiplication first. In Problems 9-34, find f' (x) and simplify 9. f(x) = 28 (x - 2) -. J(r) = 5r 2) (r) = (3x + 2) (41 5) 13. 3.x *)= 3xe 19. f(x) In x 20. /(r) = 5x Inc (2x40. f( x) = In(1 - x + 26 ): x = 1 B In Problems 41-56, find the indicated derivative and simplify. 6) - 2(12 + 31) h W dw 70. A student re /(x) = must have th three graphs 48. h'(x) if h(x) - 2-9 NORMAL FLOAT AUTO REAL DE 30.5x) In Problems 63-68. find f' (x ) and find the value(s) of x where the tangent line is horizontal. 64. f(x) = 2(x - 7) 2) 12- 3.r + 4) 65. fix= 2 In x) the line Find the 69. A student reasons that the functions ((x ) = In 5(- 3) and g (x ) = 4 In(x* + 3 ) must have the same derivative since he has entered /(c). g (x). /'(x), and g(x) into a graphing calculator, but only three graphs appear (see the figure). Is his reasoning correct? Are / '(x ) and g (x ) the same function? Explain. NORMAL FLOAT AUTO REAL DEGREE MP NORMAL FLOAT AUTO REAL DEGREE MP(B) Explain he 3x + 5 26. /(x) = quon 12 - 3 (x - 3) 57. f() - (x + 5) 59. /(x) 4 30. /(x) In Problems of- - tangent to the s 61. /(x) - (1 2r 34. ((x) = 62. /0 - (7