| Find the derivatives of each of the functions in Exercises In some cases it may be convenient to do some pre- liminary algebra. In(3x²) 34. f(x) = 3x² Inx 33. f(x) = tan x tanx 35. f(x) = sin(Inx) 36. f(x) = In(x sin x) 37. f(x) = sin-'(3x²) 38. f(x) = 3(sin¬1x)² 39. f(x) = x² arctan x2 40. f(x) = tan-'(lnx) 41. f(x) = sec-1x² 42. f(x) = sin(sin¬1 x) 43. f(x) = sin='(sec² x) 44. f(x) = sin (sec-1x) sin-1x tan=1x sin-1x 45. f(x) = 46. f(x) = sec-1x 47. f(x)=In(arcsec (sin²x)) 48. f(x) — х-2 еtx sin-1x sin(arcsin x) 49. f(x) = sec(1+tan¬1 x) 50. f(x) = arctan x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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| Find the derivatives of each of the functions in Exercises
In some cases it may be convenient to do some pre-
liminary algebra.
In(3x²)
34. f(x) =
3x² Inx
33. f(x) =
tan x
tanx
35. f(x) = sin(Inx)
36. f(x) = In(x sin x)
37. f(x) = sin-'(3x²)
38. f(x) = 3(sin¬1x)²
39. f(x) = x² arctan x2
40. f(x) = tan-'(lnx)
41. f(x) = sec-1x²
42. f(x) = sin(sin¬1 x)
43. f(x) = sin='(sec² x)
44. f(x) = sin (sec-1x)
sin-1x
tan=1x
sin-1x
45. f(x) =
46. f(x) =
sec-1x
47. f(x)=In(arcsec (sin²x))
48. f(x) — х-2 еtx sin-1x
sin(arcsin x)
49. f(x) = sec(1+tan¬1 x)
50. f(x) =
arctan x
Transcribed Image Text:| Find the derivatives of each of the functions in Exercises In some cases it may be convenient to do some pre- liminary algebra. In(3x²) 34. f(x) = 3x² Inx 33. f(x) = tan x tanx 35. f(x) = sin(Inx) 36. f(x) = In(x sin x) 37. f(x) = sin-'(3x²) 38. f(x) = 3(sin¬1x)² 39. f(x) = x² arctan x2 40. f(x) = tan-'(lnx) 41. f(x) = sec-1x² 42. f(x) = sin(sin¬1 x) 43. f(x) = sin='(sec² x) 44. f(x) = sin (sec-1x) sin-1x tan=1x sin-1x 45. f(x) = 46. f(x) = sec-1x 47. f(x)=In(arcsec (sin²x)) 48. f(x) — х-2 еtx sin-1x sin(arcsin x) 49. f(x) = sec(1+tan¬1 x) 50. f(x) = arctan x
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