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
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.
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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