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Evaluate the derivat rour answers on a separate sheet of paper. 1. C. x+3y y2 + 4 D. - %3D B. 2-3y 3-2y

Evaluate the derivat rour answers on a separate sheet of paper. 1. C. x+3y y2 + 4 D. - %3D B. 2-3y 3-2y

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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Assessment Evaluate the derivatives of the following functions using implicit differentiation. Write your answers on a separate sheet of paper. 1. D. 2-3y C. 2-3y 1. x+3y y2.+ 4 В. 3-2y A. 3-2y 2x+1 2. 4y-2x 3x2 A. 2x+1 C. --** 3. 3x+1 B. * 3. 3x+1 2. 3. xy-2x2 10 4x-y 4y-x D. 4y-x 4x-y В. C. A. . 4. y += y D. 1 В. 4y-2 С. Ży-4 A. - 2yーマ 4y--2 5. 4x2+ 4y2= 36 A. - C. -? D. ' 6. x2+ 3xy – y = 7 2x-3y A. 2x+3y B. 3x-1 2x-3y C. 3x+1 -2x-3y D. 3x-1 7. In(3y) + y? = 2x2 A. - 2+y2 4xy 4xy В. 4xy C. 1+2y2 4xy D. 1+2y2 2+y2 8. tan(y)- 2xy 12 2y 2y B. -- sec (y)-2x A. - C. 2y 2y sec (x)-2y D. sec? (x)-2y sec (y)-2x 9. e -y2= 4x 4 В. A. 2. 4 C. e-Zy D.- ey--2y ey-4y 2. eY-4y 10.4xy = sin(4x) A. - cos(4x)-y В. cos(4x)-y cos(4x)-x C. D.-Cos(4x)-xr y B.
Transcribed Image Text:Assessment Evaluate the derivatives of the following functions using implicit differentiation. Write your answers on a separate sheet of paper. 1. D. 2-3y C. 2-3y 1. x+3y y2.+ 4 В. 3-2y A. 3-2y 2x+1 2. 4y-2x 3x2 A. 2x+1 C. --** 3. 3x+1 B. * 3. 3x+1 2. 3. xy-2x2 10 4x-y 4y-x D. 4y-x 4x-y В. C. A. . 4. y += y D. 1 В. 4y-2 С. Ży-4 A. - 2yーマ 4y--2 5. 4x2+ 4y2= 36 A. - C. -? D. ' 6. x2+ 3xy – y = 7 2x-3y A. 2x+3y B. 3x-1 2x-3y C. 3x+1 -2x-3y D. 3x-1 7. In(3y) + y? = 2x2 A. - 2+y2 4xy 4xy В. 4xy C. 1+2y2 4xy D. 1+2y2 2+y2 8. tan(y)- 2xy 12 2y 2y B. -- sec (y)-2x A. - C. 2y 2y sec (x)-2y D. sec? (x)-2y sec (y)-2x 9. e -y2= 4x 4 В. A. 2. 4 C. e-Zy D.- ey--2y ey-4y 2. eY-4y 10.4xy = sin(4x) A. - cos(4x)-y В. cos(4x)-y cos(4x)-x C. D.-Cos(4x)-xr y B.
11.sec (y) +x²y = 2x 2-2xy 2-2xy A. sec(y) tan(y)+2:7 С. sec(y) tan(y)+y? 2-2xy 2-2xy В. - sec(y) tan(y)+x² D. sec(y}tan(y)+y2 12.5y2 + 3e2x = 7x w 7-6e2x A. 7+6e2X C. 7-6e2* В. 7+6e2x 10y D. 10y 10y 10y 13.In(x) + cot(y) = 5 A. xcsc? (y) B. - xcsc2 (y) C. yesc2 (x) D.- 1 ycsc? (x) 14. sin(xy) = x? 2x-y cos(xy) x cos(xy) 2y+x cos(xy) A. 2x-y cos(xy) C. x cos(xy) 2y+x cos(xy) x cos(xy) В. x cos(xy) D. 15. sin-1(y) = 4x %3D A. -4/1-y? B. 4/1+y2 C. -4/1+y? D. 4/1-y²
Transcribed Image Text:11.sec (y) +x²y = 2x 2-2xy 2-2xy A. sec(y) tan(y)+2:7 С. sec(y) tan(y)+y? 2-2xy 2-2xy В. - sec(y) tan(y)+x² D. sec(y}tan(y)+y2 12.5y2 + 3e2x = 7x w 7-6e2x A. 7+6e2X C. 7-6e2* В. 7+6e2x 10y D. 10y 10y 10y 13.In(x) + cot(y) = 5 A. xcsc? (y) B. - xcsc2 (y) C. yesc2 (x) D.- 1 ycsc? (x) 14. sin(xy) = x? 2x-y cos(xy) x cos(xy) 2y+x cos(xy) A. 2x-y cos(xy) C. x cos(xy) 2y+x cos(xy) x cos(xy) В. x cos(xy) D. 15. sin-1(y) = 4x %3D A. -4/1-y? B. 4/1+y2 C. -4/1+y? D. 4/1-y²
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