15-36. Evaluating derivatives Evaluate and simplify the following derivatives. x³ + mx³ + 2x + 9 ) 16. dx (Vī + 1) (3ª + 4) dx 15. d 17. -(9e* sin x) dx -(5 cos®x – 6 cos x³) 18. dx 19. dx [cot x•(V3 – 4e*)] d -(sec(log x") 20. dx 21. G) d (u? d 22. dx\1 - 2x du u + d 2/3 d 24. dv\2v2 + 3y + 1 3v + 2 23. de (tan(sin 20)) 25. :(5t²(cos t) V5t – 8) dt 26. _D_x)- 27. dx (r*(In x)*) 28. du cos 3u) 29. (3²+21) 30. (sin (ax + b)) dx dx -(tane*) tan. 32. dx 31. dx 33. Find f'(1) when f(x) = x* 34. Find f'(2) when f(x) = Vtan- (x/2) d d 2x 35. -(x tanx) 36. dx Cos dx 1 + x? 37 30 Implicit difforentiation Calculate v'(r) for tha followino
15-36. Evaluating derivatives Evaluate and simplify the following derivatives. x³ + mx³ + 2x + 9 ) 16. dx (Vī + 1) (3ª + 4) dx 15. d 17. -(9e* sin x) dx -(5 cos®x – 6 cos x³) 18. dx 19. dx [cot x•(V3 – 4e*)] d -(sec(log x") 20. dx 21. G) d (u? d 22. dx\1 - 2x du u + d 2/3 d 24. dv\2v2 + 3y + 1 3v + 2 23. de (tan(sin 20)) 25. :(5t²(cos t) V5t – 8) dt 26. _D_x)- 27. dx (r*(In x)*) 28. du cos 3u) 29. (3²+21) 30. (sin (ax + b)) dx dx -(tane*) tan. 32. dx 31. dx 33. Find f'(1) when f(x) = x* 34. Find f'(2) when f(x) = Vtan- (x/2) d d 2x 35. -(x tanx) 36. dx Cos dx 1 + x? 37 30 Implicit difforentiation Calculate v'(r) for tha followino
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...
Related questions
Question
![15-36. Evaluating derivatives Evaluate and simplify the following
derivatives.
x³ + mx³ + 2x + 9 ) 16.
dx
(Vī + 1) (3ª + 4)
dx
15.
d
17.
-(9e* sin x)
dx
-(5 cos®x – 6 cos x³)
18.
dx
19.
dx
[cot x•(V3 – 4e*)]
d
-(sec(log x")
20.
dx
21. G)
d (u?
d
22.
dx\1 - 2x
du
u +
d
2/3
d
24.
dv\2v2 + 3y + 1
3v + 2
23.
de
(tan(sin 20))
25.
:(5t²(cos t) V5t – 8)
dt
26.
_D_x)-
27.
dx
(r*(In x)*)
28.
du
cos 3u)
29.
(3²+21)
30.
(sin (ax + b))
dx
dx
-(tane*)
tan.
32.
dx
31.
dx
33. Find f'(1) when f(x) = x*
34. Find f'(2) when f(x) = Vtan- (x/2)
d
d
2x
35.
-(x tanx)
36.
dx
Cos
dx
1 + x?
37 30 Implicit difforentiation Calculate v'(r) for tha followino](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ce6861d-9966-4ab5-bdca-ff7f4ec360a0%2F2952f9a2-cb2a-436f-b376-c7a8eeb7901d%2Fdeubp87_processed.png&w=3840&q=75)
Transcribed Image Text:15-36. Evaluating derivatives Evaluate and simplify the following
derivatives.
x³ + mx³ + 2x + 9 ) 16.
dx
(Vī + 1) (3ª + 4)
dx
15.
d
17.
-(9e* sin x)
dx
-(5 cos®x – 6 cos x³)
18.
dx
19.
dx
[cot x•(V3 – 4e*)]
d
-(sec(log x")
20.
dx
21. G)
d (u?
d
22.
dx\1 - 2x
du
u +
d
2/3
d
24.
dv\2v2 + 3y + 1
3v + 2
23.
de
(tan(sin 20))
25.
:(5t²(cos t) V5t – 8)
dt
26.
_D_x)-
27.
dx
(r*(In x)*)
28.
du
cos 3u)
29.
(3²+21)
30.
(sin (ax + b))
dx
dx
-(tane*)
tan.
32.
dx
31.
dx
33. Find f'(1) when f(x) = x*
34. Find f'(2) when f(x) = Vtan- (x/2)
d
d
2x
35.
-(x tanx)
36.
dx
Cos
dx
1 + x?
37 30 Implicit difforentiation Calculate v'(r) for tha followino
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning