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 6. y= tan3x – cot3x 7. y= cot5x + csc5x 8. y = csc (2x) 9. y= tanx + cotx 10. у %3D 4secх — 2cscx

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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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
6. у%3D tan3x — cot3x
7. у%3D cot5x + csc5x
8. y= csc'(2x)
9. y= tanx + cotx
10. у%3D 4secх - 2cscx
Transcribed Image Text: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 6. у%3D tan3x — cot3x 7. у%3D cot5x + csc5x 8. y= csc'(2x) 9. y= tanx + cotx 10. у%3D 4secх - 2cscx
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