11.sec (y) + x²y = 2x 2-2xy 2-2xy А. sec(y) tan(y)+x? C. sec(y) tan(y)+y2 2-2ху 2-2ху В. sec(y) tan(y)+x? D. sec(y) tan(y)+y? 12.5y2 + 3e2x = 7x 7-6e2x 7+6e2x С. 7-6e2x 7+6e2x А. D. 10y 10y 10y 10y B.
11.sec (y) + x²y = 2x 2-2xy 2-2xy А. sec(y) tan(y)+x? C. sec(y) tan(y)+y2 2-2ху 2-2ху В. sec(y) tan(y)+x? D. sec(y) tan(y)+y? 12.5y2 + 3e2x = 7x 7-6e2x 7+6e2x С. 7-6e2x 7+6e2x А. D. 10y 10y 10y 10y B.
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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![11.sec (y) + x2y 2x
2-2ху
2-2ху
А.
sec(y) tan(y)+x?
С.
sec(y) tan(y)+y2
2-2ху
2-2xy
В.
D.
sec(y) tan(y)+x?
sec(y) tan(y)+y2
12.5y2 + 3e2x = 7x
7+6e2x
С.
7+6e2x
7-6e2x
А.
В.
7-6e2x
D.
10y
10y
10y
10y
13. In (x) + cot(y) = 5
1
1
1
А.
xcsc2(y)
D.
В.
xcsc2 (y)
C.
ycsc2 (x)
ycsc2 (x)
14. sin(xy) = x²
%3D
2х-у сos (ху)
2х-у сos(xy)
С.
x cos(xy)
А.
x cos(xy)
2y+x cos(xy)
В.
2y+x cos(xy)
x cos(xy)
x cos(xy)
D.
15. sin-1(y) = 4x
A. -4/1- y2
B. 4/1+ y2
C. -4/1+ y2
D. 4/1-y2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff130e8cf-024f-4988-b1b9-71bbec5245eb%2F9b46e846-b48d-4312-b456-a5fb07edb93d%2Fnotvhg3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11.sec (y) + x2y 2x
2-2ху
2-2ху
А.
sec(y) tan(y)+x?
С.
sec(y) tan(y)+y2
2-2ху
2-2xy
В.
D.
sec(y) tan(y)+x?
sec(y) tan(y)+y2
12.5y2 + 3e2x = 7x
7+6e2x
С.
7+6e2x
7-6e2x
А.
В.
7-6e2x
D.
10y
10y
10y
10y
13. In (x) + cot(y) = 5
1
1
1
А.
xcsc2(y)
D.
В.
xcsc2 (y)
C.
ycsc2 (x)
ycsc2 (x)
14. sin(xy) = x²
%3D
2х-у сos (ху)
2х-у сos(xy)
С.
x cos(xy)
А.
x cos(xy)
2y+x cos(xy)
В.
2y+x cos(xy)
x cos(xy)
x cos(xy)
D.
15. sin-1(y) = 4x
A. -4/1- y2
B. 4/1+ y2
C. -4/1+ y2
D. 4/1-y2
![в.
Evaluate the derivatives of the following functions using implicit differentiation. Write
your answers on a separate sheet of paper.
1. x+3y = y² + 4
A. -
3-2y
В.
3-2y
D.-2-3y
C.
2-3y
2. 4y-2x = 3x2
A.
3x+1
В.
3x+1
2x+1
2x+1
21
С.
3
3
3. xy- 2x2 = 10
A. --y
4x-y
4y-x
D.
C. -9-x
4. y+= y2
А.
C.
D.
4y-2
2y-4
5. 4x + 4y2 = 36
A.
B. 2
D. 2
C.
y
6. x2 + 3xy- y = 7
2x-3y
A.
2x+3y
2x-3y
В.
3x-1
С.
3x+1
D. -2x-3y
3x-1
3x-1
7. In(3y) + y² = 2x?
4xy
А. -
2+y2
4xy
B.
2+y2
4ху
С.
1+2y2
4хy
D.
1+2y2
8. tan(y) - 2xy = 12
2y
А. -
sec2(x)-2y
2y
sec2 (y)-2x
2y
С.
sec2 (x)-2y
В.
2y
D.
sec2 (y)-2x
9. e-y? = 4x
4
А.
2
В.
ey-4y
С.
ey-2y
ey-2y
D. -
ey-4y
10.4xy = sin(4x)
A.
cos(4x)-y
cos(4x)-y
В.
SHOT ON itel
AI DUAL CAMERA
cos(4x)-x
С.
cos(4x)-x
D.-
y
B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff130e8cf-024f-4988-b1b9-71bbec5245eb%2F9b46e846-b48d-4312-b456-a5fb07edb93d%2Fumzhih9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:в.
Evaluate the derivatives of the following functions using implicit differentiation. Write
your answers on a separate sheet of paper.
1. x+3y = y² + 4
A. -
3-2y
В.
3-2y
D.-2-3y
C.
2-3y
2. 4y-2x = 3x2
A.
3x+1
В.
3x+1
2x+1
2x+1
21
С.
3
3
3. xy- 2x2 = 10
A. --y
4x-y
4y-x
D.
C. -9-x
4. y+= y2
А.
C.
D.
4y-2
2y-4
5. 4x + 4y2 = 36
A.
B. 2
D. 2
C.
y
6. x2 + 3xy- y = 7
2x-3y
A.
2x+3y
2x-3y
В.
3x-1
С.
3x+1
D. -2x-3y
3x-1
3x-1
7. In(3y) + y² = 2x?
4xy
А. -
2+y2
4xy
B.
2+y2
4ху
С.
1+2y2
4хy
D.
1+2y2
8. tan(y) - 2xy = 12
2y
А. -
sec2(x)-2y
2y
sec2 (y)-2x
2y
С.
sec2 (x)-2y
В.
2y
D.
sec2 (y)-2x
9. e-y? = 4x
4
А.
2
В.
ey-4y
С.
ey-2y
ey-2y
D. -
ey-4y
10.4xy = sin(4x)
A.
cos(4x)-y
cos(4x)-y
В.
SHOT ON itel
AI DUAL CAMERA
cos(4x)-x
С.
cos(4x)-x
D.-
y
B.
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