dy Use implicit differentiation to find dx 1. ycosx+xsin y +10 = 0 2. ycscx- cot y+5 = 0 B.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 104E
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100%
dy
Use implicit differentiation to find
dx
В.
1. ycosx+xsin y+10 = 0
2. уcscx - coty+5-0
d’y
C.
Find
dx?
1. y= sin 2x +cos²x
sin x
2. у %3D
1-cosx
dy
D.
Find
for the given value of x.
dx
1
1. y= xCosx; x=-
2. у%3
x = 1
Tan'x
1
1
3. y =-Tan=; x=-1
Transcribed Image Text:dy Use implicit differentiation to find dx В. 1. ycosx+xsin y+10 = 0 2. уcscx - coty+5-0 d’y C. Find dx? 1. y= sin 2x +cos²x sin x 2. у %3D 1-cosx dy D. Find for the given value of x. dx 1 1. y= xCosx; x=- 2. у%3 x = 1 Tan'x 1 1 3. y =-Tan=; x=-1
A. Differentiate each function.
1. y = 2 sin³ n x
2. у %3D csc(x3 — 1)
1- sin x
3. у %3
1+ sin x
cot x
4. у %3
1-cot²x
5. у %3D 4x сos 2х
6. у 3 csc2 3х + 5х
7. y = tan? Vx² - 2x
8. y = sec³ (x³ + 3) + x
9. y = cot1Vx²- 2x
10. y = arcsin (E)
11. у %3D csc-1Vx
12. y= xva²- x² + a²sin1÷, where a is a parameter
Transcribed Image Text:A. Differentiate each function. 1. y = 2 sin³ n x 2. у %3D csc(x3 — 1) 1- sin x 3. у %3 1+ sin x cot x 4. у %3 1-cot²x 5. у %3D 4x сos 2х 6. у 3 csc2 3х + 5х 7. y = tan? Vx² - 2x 8. y = sec³ (x³ + 3) + x 9. y = cot1Vx²- 2x 10. y = arcsin (E) 11. у %3D csc-1Vx 12. y= xva²- x² + a²sin1÷, where a is a parameter
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