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
![A PROBLEM SET 2 PART 2 ON DERI X
b Derivatives of Trigonometric Func x
- Find the derivative of y=2sec(x) + X
+
classroom.google.com/c/NDY2MDUWND93NJQ3/a/NTAwMDYwMTQyNDMx/details
M
Basic Calculus
M
Grade 11-Lovelace
AP Calculus AB - Worksheet 26
Derivatives of Trigonometric Functions
E PROBLE
Know the following Theorems
Assigned
JERREY LUNGAY
= sec].U d cot
dx
dI d sec
d csc-- csc]cot]-
d tan
= .U |
sectan].
100 points
=-Csc
d or create
dx
dx
dx
dx
dx
dx
dx
k as done
Everyone, good aft
Series and Sequen
deadline for subm
Еxamples
1. y = tan 5N
2. y = sec 5x
3. y= cot 3x
4. y= csc' 2x
%3D
y = tan 5x
y = sec 5x
y =cot|3x
y =csc 2x
y'=
= sec |5x-5 y'= sec 5x tan5x.
y'= 4 cot 3x-
y'= 3 csc[2x-cse 2x]cot|2x
-csc 2x cot 2.x
-csc3x
mments
y'=5 sec 5x
y'=5 sec 5x tan5x
Note: On the last p
to JERREY LUNGAY
y'=-12 cot 3x csc 3.x
y'=-6 csc 2x cot 2x
solution to each th
Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x and then take derivative]
1. tan x
2. cot x
3. sec x
4. cscx
Directions: Find dy/dx.
5. у 3 sec4x
8. y= csc°(2x)
2 Class comme
6. y= tan3x – cot3x
7. y- cot5x + csc5x
9. y= tanx + cotx
10. y- 4secx – 2cscx
Add a class comm
11. y=3 sec x(tan x)
12. y = sin x(tan x)
13. y = cot x(cse x)
2 cos.x
15. y=
sin x
16. y=
14. v= cos x(cot x)
x+1
sin x
X+2
tan x
17. y =
18. v=
19. ув
1- cos x
cos x
cos x-4
cot x
20. у-
1- sin x
Page 1 I 1
Q +
Answers:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cf13a2e-6a8a-4b24-a640-5e563c309dc9%2F67293ea9-855b-44c0-9543-730c1f6583fd%2Fmsz4mxu_processed.png&w=3840&q=75)
Transcribed Image Text:A PROBLEM SET 2 PART 2 ON DERI X
b Derivatives of Trigonometric Func x
- Find the derivative of y=2sec(x) + X
+
classroom.google.com/c/NDY2MDUWND93NJQ3/a/NTAwMDYwMTQyNDMx/details
M
Basic Calculus
M
Grade 11-Lovelace
AP Calculus AB - Worksheet 26
Derivatives of Trigonometric Functions
E PROBLE
Know the following Theorems
Assigned
JERREY LUNGAY
= sec].U d cot
dx
dI d sec
d csc-- csc]cot]-
d tan
= .U |
sectan].
100 points
=-Csc
d or create
dx
dx
dx
dx
dx
dx
dx
k as done
Everyone, good aft
Series and Sequen
deadline for subm
Еxamples
1. y = tan 5N
2. y = sec 5x
3. y= cot 3x
4. y= csc' 2x
%3D
y = tan 5x
y = sec 5x
y =cot|3x
y =csc 2x
y'=
= sec |5x-5 y'= sec 5x tan5x.
y'= 4 cot 3x-
y'= 3 csc[2x-cse 2x]cot|2x
-csc 2x cot 2.x
-csc3x
mments
y'=5 sec 5x
y'=5 sec 5x tan5x
Note: On the last p
to JERREY LUNGAY
y'=-12 cot 3x csc 3.x
y'=-6 csc 2x cot 2x
solution to each th
Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x and then take derivative]
1. tan x
2. cot x
3. sec x
4. cscx
Directions: Find dy/dx.
5. у 3 sec4x
8. y= csc°(2x)
2 Class comme
6. y= tan3x – cot3x
7. y- cot5x + csc5x
9. y= tanx + cotx
10. y- 4secx – 2cscx
Add a class comm
11. y=3 sec x(tan x)
12. y = sin x(tan x)
13. y = cot x(cse x)
2 cos.x
15. y=
sin x
16. y=
14. v= cos x(cot x)
x+1
sin x
X+2
tan x
17. y =
18. v=
19. ув
1- cos x
cos x
cos x-4
cot x
20. у-
1- sin x
Page 1 I 1
Q +
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