Homework Help is Here – Start Your Trial Now!
Math
Calculus
AP Calculus AB - Worksheet 26 Derivatives of Trigonometric Functions Know the following Theorems = sec:N.U d cotFress | EscC to exit full screen dx d tan Esc to exit full screen see an deeO, - ese]cot].] dx dx Examples |1. y = tan 5x 2. y = sec 5x 3. y = cot* 3x 4. y= csc' 2x y = tan 5x y'= sec 5x-5 y = sec 5x y=cot 3x y=esc[2x y'= sec 5x tan 5x-5 y'= 5 sec'|5.x y'= Ssec[5x tan 5x y'= 4 cot 3x-cse 3x. y'= 3{csc[2x] [-cse[2x]cot[2x sc 2x cot 2x y'=-12 cot 3x csc |3x y'=-6 csc 2x cot 2x 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. csc x Directions: Find dy/dx. 5. y = sec4x 8. y= csc'(2x) 11. y = 3 sec x(tan x) 6. y= tan3x - cot3x 7. y= cot5x + cse5x 9. y= tanx + cotx 10. y = 4secx - 2cscx 12. y = sin x(tan x) 13. y = cot x(cse x) 14. y = cos x(cot x) 15. y = 2 cos x sin x 16. y= x+1 sin x X+2 18. y= tan x 17. y- 19. y= 1-cos.x cosx cos x-4 cot x 20. y= 1-sin x

AP Calculus AB - Worksheet 26 Derivatives of Trigonometric Functions Know the following Theorems = sec:N.U d cotFress | EscC to exit full screen dx d tan Esc to exit full screen see an deeO, - ese]cot].] dx dx Examples |1. y = tan 5x 2. y = sec 5x 3. y = cot* 3x 4. y= csc' 2x y = tan 5x y'= sec 5x-5 y = sec 5x y=cot 3x y=esc[2x y'= sec 5x tan 5x-5 y'= 5 sec'|5.x y'= Ssec[5x tan 5x y'= 4 cot 3x-cse 3x. y'= 3{csc[2x] [-cse[2x]cot[2x sc 2x cot 2x y'=-12 cot 3x csc |3x y'=-6 csc 2x cot 2x 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. csc x Directions: Find dy/dx. 5. y = sec4x 8. y= csc'(2x) 11. y = 3 sec x(tan x) 6. y= tan3x - cot3x 7. y= cot5x + cse5x 9. y= tanx + cotx 10. y = 4secx - 2cscx 12. y = sin x(tan x) 13. y = cot x(cse x) 14. y = cos x(cot x) 15. y = 2 cos x sin x 16. y= x+1 sin x X+2 18. y= tan x 17. y- 19. y= 1-cos.x cosx cos x-4 cot x 20. y= 1-sin x

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
See similar textbooks
icon
Related questions
Question
AP Calculus AB - Worksheet 26 Derivatives of Trigonometric Functions Know the following Theorems d tan = sec².U d cot| dx Press Esc to exit full screen a sec sec tan deseU--cse] =-csccot dx dx dx Examples 1. y = tan 5x 2. y = sec 5x 3. y= cot" 3x 4. y = csc' 2.x y = tan|5x y = sec|5x y=cot|3x y =csc/2.x y'= sec? 5x:5 y'= 5 sec 5x y'= sec 5x tan 5x-5 y'= 4cot 3x -cscʻ |3x y'= 3 csc 2x - csc|2x cot 2xl y'= 5 sec 5x tan 5x y'=-12 cot 3x csc |3x y'= -6 csc|2x|| cot|2x Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x and then take derivative] I cos 1. tan x 2. cot x 3. sec x 4. csc x Directions: Find dy/dx. 5. y = sec4x 8. y= csc°(2x) 11. у %3D3 sec x(tan x) 6. y= tan3x – cot3x 7. y= cot5x+ csc5x 9. y= tanx+ cotx 10. y = 4secx – 2cscx 12. y = sin x(tan x) 13. y = cot x(csc.x) 2 cos x 14. y = cos x(cot x) 15. у%3 sin x 16. у %3 x+1 sin x x+2 tan x 17. y = 19. у %3 1- cos x 18. y= cos x cos x-4 cot x 20. у %3 1-sin x
Transcribed Image Text:AP Calculus AB - Worksheet 26 Derivatives of Trigonometric Functions Know the following Theorems d tan = sec².U d cot| dx Press Esc to exit full screen a sec sec tan deseU--cse] =-csccot dx dx dx Examples 1. y = tan 5x 2. y = sec 5x 3. y= cot" 3x 4. y = csc' 2.x y = tan|5x y = sec|5x y=cot|3x y =csc/2.x y'= sec? 5x:5 y'= 5 sec 5x y'= sec 5x tan 5x-5 y'= 4cot 3x -cscʻ |3x y'= 3 csc 2x - csc|2x cot 2xl y'= 5 sec 5x tan 5x y'=-12 cot 3x csc |3x y'= -6 csc|2x|| cot|2x Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x and then take derivative] I cos 1. tan x 2. cot x 3. sec x 4. csc x Directions: Find dy/dx. 5. y = sec4x 8. y= csc°(2x) 11. у %3D3 sec x(tan x) 6. y= tan3x – cot3x 7. y= cot5x+ csc5x 9. y= tanx+ cotx 10. y = 4secx – 2cscx 12. y = sin x(tan x) 13. y = cot x(csc.x) 2 cos x 14. y = cos x(cot x) 15. у%3 sin x 16. у %3 x+1 sin x x+2 tan x 17. y = 19. у %3 1- cos x 18. y= cos x cos x-4 cot x 20. у %3 1-sin x
Expert Solution
trending now

Trending now

This is a popular 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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS