Find the derivatives of each of the functions in Exercises 17-44. In some cases it may be convenient to do some pre- liminary algebra. 1 17. f(x) = 18. f(x) = log,(3x² – 5) 2 – e5x 19. f(x) = 3x²e¬4x 20. f(x) = e3* In(x² + 1) 1-x x3 21. f(x) 22. f(x) = In ex +x+1 e* In x 23. f(x) = e*(x²+3x–1) 24. f(x) = x2 – 1 25. f() — еЗlnх 26. f(x) = 3* + log3 x 27. f(x) = ee*) 28. f(x) = ex*) 29. f(x) = (e*)° 30. f(x) = (x*)° In(x³) 31. f(x) = In(x4) 32. f(x) = 11 + e* – In 2 33. f() — х-Зе2х 34. f(x) = In(x²2*) 35. f() — х2 lo82(x2") 36. S(x) = /In(x² + 1) 37. f(x) = In(x² +evã) 38. f(x) = In a 40. f(x) = ln(x²+1)(e*)-1/3 39. f(x) = log,(3* – 5) 41. f(x) = x² In(Inx) 42. f(x) = In(x*) 43. f(x) – (2*)* 44. S(x) = 2'-3"

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Chapter1: Functions And Models
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Find the derivatives of each of the functions in Exercises
17-44. In some cases it may be convenient to do some pre-
liminary algebra.
1
17. f(x) =
18. f(x) = log,(3x² – 5)
2 – e5x
19. f(x) = 3x²e¬4x
20. f(x) = e3* In(x² + 1)
1-x
x3
21. f(x)
22. f(x) = In
ex
+x+1
e* In x
23. f(x) = e*(x²+3x–1)
24. f(x) =
x2 – 1
25. f() — еЗlnх
26. f(x) = 3* + log3 x
27. f(x) = ee*)
28. f(x) = ex*)
29. f(x) = (e*)°
30. f(x) = (x*)°
In(x³)
31. f(x) =
In(x4)
32. f(x) = 11 + e* – In 2
33. f() — х-Зе2х
34. f(x) = In(x²2*)
35. f() — х2 lo82(x2")
36. S(x) = /In(x² + 1)
37. f(x) = In(x² +evã)
38. f(x) =
In a
40. f(x) = ln(x²+1)(e*)-1/3
39. f(x) = log,(3* – 5)
41. f(x) = x² In(Inx)
42. f(x) = In(x*)
43. f(x) – (2*)*
44. S(x) = 2'-3"
Transcribed Image Text:Find the derivatives of each of the functions in Exercises 17-44. In some cases it may be convenient to do some pre- liminary algebra. 1 17. f(x) = 18. f(x) = log,(3x² – 5) 2 – e5x 19. f(x) = 3x²e¬4x 20. f(x) = e3* In(x² + 1) 1-x x3 21. f(x) 22. f(x) = In ex +x+1 e* In x 23. f(x) = e*(x²+3x–1) 24. f(x) = x2 – 1 25. f() — еЗlnх 26. f(x) = 3* + log3 x 27. f(x) = ee*) 28. f(x) = ex*) 29. f(x) = (e*)° 30. f(x) = (x*)° In(x³) 31. f(x) = In(x4) 32. f(x) = 11 + e* – In 2 33. f() — х-Зе2х 34. f(x) = In(x²2*) 35. f() — х2 lo82(x2") 36. S(x) = /In(x² + 1) 37. f(x) = In(x² +evã) 38. f(x) = In a 40. f(x) = ln(x²+1)(e*)-1/3 39. f(x) = log,(3* – 5) 41. f(x) = x² In(Inx) 42. f(x) = In(x*) 43. f(x) – (2*)* 44. S(x) = 2'-3"
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