Basic Introduction of Differentiation and Integration Algebraic Functions Worksheet 2

Professional JEE/NEET Style Calculus Worksheet

Q1. Differentiate \(x^5\).
A. 5x^4
B. 4x^5
C. x^4
D. 5x

Q2. Differentiate \(7x^3-2x\).
A. 21x^2-2
B. 14x-2
C. 7x^2
D. 21x

Q3. Slope of \(y=4x-9\).
A. 4
B. 9
C. -9
D. 1

Q4. \(\int 3x^2dx\)
A. x^3+C
B. 3x^3
C. x^2+C
D. 6x

Q5. \(\int_0^4 2dx\)
A. 8
B. 4
C. 2
D. 6

Q6. Derivative of constant 12.
A. 0
B. 1
C. 12
D. x

Q7. If s=t^2+4t, velocity?
A. 2t+4
B. t+4
C. 2t
D. 4

Q8. If v=6t, acceleration?
A. 6
B. t
C. 12t
D. 0

Q9. Area under y=x from 0 to 2.
A. 2
B. 4
C. 1
D. 0

Q10. Velocity-time area gives?
A. Displacement
B. Acceleration
C. Force
D. Power

Q11. Force-distance area gives?
A. Work
B. Impulse
C. Charge
D. Energy

Q12. Force-time area gives?
A. Impulse
B. Work
C. Charge
D. Momentum

Q13. Current-time area gives?
A. Charge
B. Voltage
C. Power
D. Resistance

Q14. \(d(1/x)/dx\)
A. -1/x^2
B. 1/x^2
C. -x^-1
D. 0

Q15. \(\int xdx\)
A. x^2/2+C
B. 2x+C
C. x+C
D. 1

Q16. If s=5t^3,v=?
A. 15t^2
B. 10t
C. 5t^2
D. 15t

Q17. If v=2t^2,a=?
A. 4t
B. 2t
C. 2
D. t^2

Q18. \(\int_1^3 xdx\)
A. 4
B. 3
C. 2
D. 8

Q19. Slope equals?
A. Derivative
B. Integral
C. Area
D. Intercept

Q20. Integration is inverse of?
A. Differentiation
B. Addition
C. Multiplication
D. Limits

Answer Key

1. Q1: A — 5x^4
2. Q2: A — 21x^2-2
3. Q3: A — 4
4. Q4: A — x^3+C
5. Q5: A — 8
6. Q6: A — 0
7. Q7: A — 2t+4
8. Q8: A — 6
9. Q9: A — 2
10. Q10: A — Displacement
11. Q11: A — Work
12. Q12: A — Impulse
13. Q13: A — Charge
14. Q14: A — -1/x^2
15. Q15: A — x^2/2+C
16. Q16: A — 15t^2
17. Q17: A — 4t
18. Q18: A — 4
19. Q19: A — Derivative
20. Q20: A — Differentiation