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Who Wants to Be a Millionaire? Find The Derivative 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 1 for $100 2 Y= 5 A: 5 B: 10 C: 1 D: 0 Y= 5 A: C: 5 B: D: 0 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 2 for $200 5 Y= 4x+10 A: 4 B: 10 C: 4x D: 0 Y=4x+10 A: C: 4 B: D: 10 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 3 for $300 8 Y=x2 A: x B: 2 C: 2x D: 1 Y=x2 A: x B: C: 2x D: 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 4 for $500 11 Y=2x3+5x+3 A: 0 B: 6x2+5 C: 2x2+5x+3 D: x3+3 Y=2x3+5x+3 A: B: 6x2+5 C: 2x2+5x+3 D: 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 5 for $1,000 14 Y=(2x)(x) A: 2 B: 4x C: 2x D: 2x2 Y=(2x)(x) A: C: 2 B: D: 4x 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 6 for $2,000 17 Y= cos(x2) A: -sin(2x) B: 2sin(x2) C: -2xsin(x2) D: 2cos(x2) Y= cos(x2) A: B: C: -2xsin(x2) D: 2cos(x2) 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 7 for $4,000 20 Y=sin(3x) A: 3cos(3x) B: 3 C: -3cos(3x) D: 3cos(x) Y=sin(3x) A: 3cos(3x) B: C: D: 3cos(x) 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 8 for $8,000 23 Y=2(4x3–2x+1)3 A: 12(4X3-2X+1)2 B: C: 6(4X3-2X+1)2 D: 6(4x -2x+1) (12X -2) 6(12X2-2)2 3 2 2 Y=2(4x3–2x+1)3 A: B: C: D: 6(12X2-2)2 6(4x3-2x+1)2(12X2-2) 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 9 for $16,000 26 Y=5÷√(x3+1) A: -5/2(x3+1)-3/2(3x2) B: 5(x3+1)-1/2 C: 5÷(3x2) D: 5÷√(3x2) Y=5÷√(x3+1) A: -5/2(x3+1)-3/2(3x2) B: C: 5÷(3x2) D: 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 10 for $32,000 29 Y=(3x-2x2)(5+4x) A: 15x+2x2-8x3 B: -24x2+4x+15 C: (3-4x)(4) D: 12-16x Y=(3x-2x2)(5+4x) A: C: B: (3-4x)(4) D: -24x2+4x+15 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 11 for $64,000 32 Y=2xcos(x)-2sin(x) A: -2xsin(x) B: 4sin(x) C: -2xcos(x) D: -4xsin(x) Y=2xcos(x)-2sin(x) A: -2xsin(x) B: C: -2xcos(x) D: 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 12 for $125,000 35 Y=(5x-2)/(x2+1) A: 5/2x C:(-5x2+4x+5)/(x2+1)2 B: 5x3-2x2+5x-2 D: (5x2+2x+5)/(2x+1)2 Y=(5x-2)/(x2+1) A: B: C:(-5x2+4x+5)/(x2+1)2 D: (5x2+2x+5)/(2x+1)2 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 13 for $250,000 38 Y=csc(x)-cot(x) A: cos2(x) -tan(x) B: C: sin2(x)+cot(x) D: csc2(x)-csc(x)cot(x) cot2(x)-sin2(x) Y=csc(x)-cot(x) A: B: C: D: csc2(x)-csc(x)cot(x) cot2(x)-sin2(x) 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 14 for $500,000 41 Y=3-(1/x)/(x+5) A: C: (-3/x)/(x+5) (3x2+x+15)/(2x+5)2 B: D: x2/(1/x) (-3x2+2x+5)/(x2+5x)2 Y=3-(1/x)/(x+5) A: C: (-3/x)/(x+5) B: D: (-3x2+2x+5)/(x2+5x)2 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Question 15 for $1 Million 44 Find the second derivative of Y=x3-4x2+1/x A: C: 3x2-8x+x-1 6x-8+2/x3 B: 6x+8-2/x3 D: 6-8x+6/x2 Find the second derivative of Y=x3-4x2+1/x A: C: B: 6x-8+2/x3 D: 6x+8-2/x3 Answers 1. 2. 3. 4. 5. 6. 7. D A C B B C A 8. D 9. A 10. B 11. A 12. C 13. D 14. D 15. C 47