Punjab 12th Class Math Chapter 2 Differentiation Mcqs Test Online

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Question 1 of 20

Math

1. If a particle moves according to the law x = 16 t – 4 then acceleration at time t = 20 is

1.4

2.0

3.116

4.6

Question 1 of 20

Question 2 of 20

2. The derivative of tan (ax + b) w.r.t tan (ax + b) is

1.sec² (ax + b)

2.a sec² (ax + b)

3.b sec² (ax + b)

4.1

Question 2 of 20

Question 3 of 20

3. The derivative of the function f(x) = sinx + sinx + ...... Up to 9 times, is

1.cosx + cosx + cosx

2.9 cosx

3.3 cos x

4.9 sin x

Question 3 of 20

Question 4 of 20

4. The derivative of e² w.r.to x is

1.0

2.2

3.2e

4.1

Question 4 of 20

Question 5 of 20

5. Let f be a real value function and x Є D_f then the limit   when it exists is called

1.The derivative of f at x = h

2.The derivative of f at a

3.The derivative of f at h

4.The derivative of f at x

Question 5 of 20

Question 6 of 20

6. A particle thrown vertically upward, moves according to the law, x = 32 – 16t² (x in ft, t in sec) then the maximum height attained by the particle is

1.2ft

2.48ft

3.16ft

4.32ft

Question 6 of 20

Question 7 of 20

7. The derivative of the function y = tanx is

1.Sec² 45⁰

2.tanx sec² 45⁰ + sec² x tan 45⁰

3.Sec²x

4.sec²x sec²45⁰

Question 7 of 20

Question 8 of 20

8. The slope of the tangent to the curve y = x³ + 5 at the point (1, 2) is

1.3

2.2

3.6

4.5

Question 8 of 20

Question 9 of 20

9. If in a function y = x² – 2x, x = 4, increment in x = 0.5 then the value of differential of the dependent variable is

1.4.5

2.2.5

3.3

4.3.5

Question 9 of 20

Question 10 of 20

10. If x = 2cos⁷θ, y = 4sin⁷θ then dy/dx is equal to

1.4tan⁷ θ

2.4tan⁵ θ

3.– 2tan⁵ θ

4.– 4tan⁷ θ

Question 10 of 20

Question 11 of 20

11. The derivative of x sina w.r.t x is

1.x cos a + sin a

2.– x cos a + sin a

3.sin a

4.cos a

Question 11 of 20

Question 12 of 20

12. The derivative of Sin⁻¹a + Tan⁻¹ a w.r.t x is equal to

1.2

2.0

3.e

4.10

Question 12 of 20

Question 13 of 20

13. If a particle thrown vertically upward move according to the law, x = 32t – 16 t² (x in ft, t in sec) then the height attained by the particle when the velocity is zero is

1.0

2.16ft

3.2ft

4.32t

Question 13 of 20

Question 14 of 20

14. The derivative of (sec ⁻¹ x + cosec⁻¹x) is equal to

1.a/x

2.x/a

3.ax

4.0

Question 14 of 20

Question 15 of 20

15. If a particle moves according to the law x = et then velocity at time t = 0 is

1.e

2.1

3.0

4.none of these

Question 15 of 20

Question 16 of 20

16. The derivative of the function  is

1.Sec²45⁰ Sinx

2.Sec² 45⁰ Cosx

3.Cosx

4.– Cosec² 45⁰ Cotx

Question 16 of 20

Question 17 of 20

17. If δx or dx is quite small then the difference between dy and δy will be

1.very large

2.small

3.large

4.negligible

Question 17 of 20

Question 18 of 20

18. If x = cos²θ, y = 4sin²θ then dy/dx is equal to

1.– 4

2.– 2

3.2

4.4

Question 18 of 20

Question 19 of 20

19. The value of the limit  is equal to

1.7a⁷

2.0/0

3.0

4.7a⁶

Question 19 of 20

Question 20 of 20

20. The value of e as sum of the series is

1.A

2.D

3.B

4.C

Question 20 of 20

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