Homework Help is Here – Start Your Trial Now!
Math
Calculus
(sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5 sin 45. y = (1 + tan 46. у (1 + cos (7))"

(sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5 sin 45. y = (1 + tan 46. у (1 + cos (7))"

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
02 Chapter 3: Differentiation 43. y = sin (cos (2t - 5)) 44. y = cos (5 sin cises 45. y = (1 + cos" (71))" 1+ tan 46. y = 47. y = VI + cos (1) 48. y = 4 sin (V1 + Vi) Second Derivatives Find y" in Exercises 49-52. (1+ ) cot (3x - 1) 49. у zises (1 - Vi) 50. у () 51. y = 52. y = 9 tan Finding Numerical Values of Derivatives In Exercises 53-58, find the value of (f g)' at the given value of x. 53. f(u) u + 1, u g(x) = Vx, x 1 zises 54. f(u) = 1 - u = g(x) = x = -1 %3D 1-. 55. f(u) = cot u = g(x) = 5Vĩ, x= 1 10 56. f(и)- и + u = g(x) = Tx, x = 1/4 cos u 2u 57. f(u) = u = g(x) = 10r² + x + 1, x= 0 u? + 1 58. f(u) = u = g(x) = - 1, x= -1 %3D u+ 59. Suppose that functions f and g and their derivatives with respect to x have the following values at x 2 and x = 3. f(x) g (x) f'(x) g'(x) 8. 1/3 -3 -4 5 Find the derivatives with respect to x of the following combina- tions at the given value of x. а. 2/(х), х 2 b. f(x) + g(x), x= 3 c. f(x) g(x), x= 3 d. f(x)/g(x), x= 2 e. f(g(x)), x = 2 f. Vf(x). x = 2 g. 1/g (x), x 3 h. Vf(x) + g*(x), x = 2 60. Suppose that the functions f and g and their derivatives with re- spect to x have the following values at x 0 and x = 1. f(x) g(x) f'(x) g'(x) 1 5 1/3 -8/3 3 -4 -1/3
Transcribed Image Text:02 Chapter 3: Differentiation 43. y = sin (cos (2t - 5)) 44. y = cos (5 sin cises 45. y = (1 + cos" (71))" 1+ tan 46. y = 47. y = VI + cos (1) 48. y = 4 sin (V1 + Vi) Second Derivatives Find y" in Exercises 49-52. (1+ ) cot (3x - 1) 49. у zises (1 - Vi) 50. у () 51. y = 52. y = 9 tan Finding Numerical Values of Derivatives In Exercises 53-58, find the value of (f g)' at the given value of x. 53. f(u) u + 1, u g(x) = Vx, x 1 zises 54. f(u) = 1 - u = g(x) = x = -1 %3D 1-. 55. f(u) = cot u = g(x) = 5Vĩ, x= 1 10 56. f(и)- и + u = g(x) = Tx, x = 1/4 cos u 2u 57. f(u) = u = g(x) = 10r² + x + 1, x= 0 u? + 1 58. f(u) = u = g(x) = - 1, x= -1 %3D u+ 59. Suppose that functions f and g and their derivatives with respect to x have the following values at x 2 and x = 3. f(x) g (x) f'(x) g'(x) 8. 1/3 -3 -4 5 Find the derivatives with respect to x of the following combina- tions at the given value of x. а. 2/(х), х 2 b. f(x) + g(x), x= 3 c. f(x) g(x), x= 3 d. f(x)/g(x), x= 2 e. f(g(x)), x = 2 f. Vf(x). x = 2 g. 1/g (x), x 3 h. Vf(x) + g*(x), x = 2 60. Suppose that the functions f and g and their derivatives with re- spect to x have the following values at x 0 and x = 1. f(x) g(x) f'(x) g'(x) 1 5 1/3 -8/3 3 -4 -1/3
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS