Punjab 12th Class Math Chapter 2 Differentiation Mcqs Test Online

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Question 1 of 20

Math

1. 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 h

2.The derivative of f at x = h

3.The derivative of f at a

4.The derivative of f at x

Question 1 of 20

Question 2 of 20

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

1.none of these

2.e

3.1

4.0

Question 2 of 20

Question 3 of 20

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

1.– 2

2.– 4

3.4

4.2

Question 3 of 20

Question 4 of 20

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

1.sec² (ax + b)

2.b sec² (ax + b)

3.a sec² (ax + b)

4.1

Question 4 of 20

Question 5 of 20

5. The derivative of the function y = tanx is

1.Sec² 45⁰

2.Sec²x

3.sec²x sec²45⁰

4.tanx sec² 45⁰ + sec² x tan 45⁰

Question 5 of 20

Question 6 of 20

6. The derivative of e² w.r.to x is

1.1

2.2e

3.0

4.2

Question 6 of 20

Question 7 of 20

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

1.– 4tan⁷ θ

2.4tan⁷ θ

3.– 2tan⁵ θ

4.4tan⁵ θ

Question 7 of 20

Question 8 of 20

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

1.e

2.2

3.0

4.10

Question 8 of 20

Question 9 of 20

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

1.sin a

2.– x cos a + sin a

3.cos a

4.x cos a + sin a

Question 9 of 20

Question 10 of 20

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

1.negligible

2.very large

3.small

4.large

Question 10 of 20

Question 11 of 20

11. 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

1.32ft

2.48ft

3.2ft

4.16ft

Question 11 of 20

Question 12 of 20

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

1.A

2.C

3.D

4.B

Question 12 of 20

Question 13 of 20

13. The derivative of the function  is

1.Sec²45⁰ Sinx

2.– Cosec² 45⁰ Cotx

3.Cosx

4.Sec² 45⁰ Cosx

Question 13 of 20

Question 14 of 20

14. 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

1.32t

2.0

3.16ft

4.2ft

Question 14 of 20

Question 15 of 20

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

1.3

2.4.5

3.3.5

4.2.5

Question 15 of 20

Question 16 of 20

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

1.6

2.0

3.4

4.116

Question 16 of 20

Question 17 of 20

17. The value of the limit  is equal to

1.7a⁶

2.0

3.0/0

4.7a⁷

Question 17 of 20

Question 18 of 20

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

1.a/x

2.ax

3.x/a

4.0

Question 18 of 20

Question 19 of 20

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

1.5

2.3

3.6

4.2

Question 19 of 20

Question 20 of 20

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

1.cosx + cosx + cosx

2.9 cosx

3.9 sin x

4.3 cos x

Question 20 of 20

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