16. If y = sin(x - y) find y'. cos(x-y) B. cos(x-y) 1+cos(x-y) 1-cos(x-y) C. cos(x - y) D. -cos(x - y) 17. If x = =, find dy dx' A. y+2 B. y-2 C. 2yVzy 2y 2y D. _ 2VVZy 2y Zy y+2 y+2 18. Find the second derivative of y =; x+1 A. - (x +1)3 B. -7 (x+1) 3 C. (x+1)2 D. . (x+1)2 19. If x2 + 6xy + 3y2 , then y' is A. *+3y B. - 3xty 3x+y 3(x+y) 3(x+y) D. - x+3y 3 (x+y) 3(x+y) 20. Find y if x = 2t* - 4t2 and y = t4 - 4t. t2-t+1 B tz+t+1 C. t2-2t+1 2t ( t + 1 ) 2t (t +1) 2t (t+ 1 ) D. t+1 21. Find f'(t) if f(t) = Arctan_ t3. A. 6t2 4+16 B. - C. 6t2 4+13 D. 3t2 4+13 . 4+16 22. Evaluate lim 3x5-4x2+1 X-+00 -7x5+x2+2 A. dne B. 0 c. -3 w is 23. The domain of y = log(1 - 2x) is A. IR B. (-0o, C. [2,+00) D. R, X 24. The range of y = tan 1 x is A. R B. [-1,1] C. x * (n + n D. undefined 25. Evaluate lim ( x-h)3-x3 h A. undefined B. 3x2 C. O D. dne 26-30. Show the proof of quotient rule. Write you work in an intermediate pad. Save your work in pdf form.Post Exam Calculus 2 1. Solve for y' if y = sec$5x - tan25x A. 0 B. 1 C. 5 cos(5x) sin (5x) D. -5 cos(5x) sin(5x) 2. If y = x[sin ' (sin x)], find y' A. 2x B. -2x C. 1 D. O 3. Find y' if y = x2cosx A. 2x cosx + x sinx C. 2x cos x - x2 sin x B. 2x sinx - x2 cos x D. 2x sinx + x2 cos x 4. Let y = cos2 -x3, find y '. A. - 3x2sin-x3 B. =x2sin-x3 C. 3x2sin1x3 D. -3x2 sin 1x3 5. Differentiate y = sec*B - tan* B A. 4sec3BtanB - 4tan3Bsec2B C. 4sec2 BtanB B. 4secBtanB(Bsec2B+tan2B D. 4sec3 Btan2B 6. Find y', given y = sin2xcscx A. 2cosx B. -2cosx C. 2sinx D. -2sinx 7. If y = V4 - x2 + 2sin" (#,then y' equals, A. 2 - x 2 + x B. 2+x C. -2+X D. - 2+ x 11. Find 2% if y = arcsinv2x + arccosv2x. A. 0 B. 1 C. arccosv2x D. arcsinv2x 12. If y = (5 + x5 + #)3, then y' is A. (5 + x 5 + 4)3 ( 5 x 4 - 4 ) C.5 ( 5 + x5 + 1 ) ( 5 x 4 + #2 ) B. 5(5 + x 5 + 1)3 ( 5x4 -# ) D. (5 + x5 + 1) (5x# + # ) 13. Find f'(x) if f (x) = (3x2 - 4x +5)(6x -7) A. 54x2 - 90x + 58 C. 54x2 - 90x + 2 B. 54x2 - 42x + 58 D. 54x2 - 42x + 2 14. Find y' if y = (2x2-3)(3x+2) 4x-1 A. 48x5-2x2-8x+15 48x3+34x2-8x+15 (4x-1)2 (4x-1)2 B. 48x5-2x2-8x+33 D. 48x +34x2-8x+33 (4x-1)2 (4x-1)2 15. If y = 3u2 - 2u + 4 and u = x2 + 3x - 2, then A. (2x + 3)(6x2 + 18x - 14) C. (2x + 3)(6x2 + 18x + 14) B. (2x + 3)(6x2 + 18x -24) D. (2x + 3) (6x2 + 18x + 24)