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"
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"
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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