Punjab 12th Class Math Chapter 2 Differentiation Mcqs Test Online

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Question 1 of 20

Math

1. 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

2.16ft

3.2ft

4.0

Question 1 of 20

Question 2 of 20

2. Let f be a real value function and x Є D_f then the limit $Math 2.1$ when it exists is called

1.The derivative of f at x

2.The derivative of f at x = h

3.The derivative of f at a

4.The derivative of f at h

Question 2 of 20

Question 3 of 20

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

$Math 2.4$

1.D

2.C

3.B

4.A

Question 3 of 20

Question 4 of 20

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

1.2.5

2.4.5

3.3

4.3.5

Question 4 of 20

Question 5 of 20

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

1.x/a

2.0

3.ax

4.a/x

Question 5 of 20

Question 6 of 20

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

1.2

2.e

3.10

4.0

Question 6 of 20

Question 7 of 20

7. 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

1.16ft

2.32ft

3.2ft

4.48ft

Question 7 of 20

Question 8 of 20

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

1.0

2.none of these

3.1

4.e

Question 8 of 20

Question 9 of 20

9. The derivative of e² w.r.to x is

1.1

2.2e

3.2

4.0

Question 9 of 20

Question 10 of 20

10. The derivative of the function $Math 2.3$ is

1.Sec²45⁰ Sinx

2.Sec² 45⁰ Cosx

3.Cosx

4.– Cosec² 45⁰ Cotx

Question 10 of 20

Question 11 of 20

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

1.6

2.116

3.4

4.0

Question 11 of 20

Question 12 of 20

12. The value of the limit $Math 2.2$ is equal to

1.0/0

2.0

3.7a⁶

4.7a⁷

Question 12 of 20

Question 13 of 20

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

1.2

2.4

3.– 2

4.– 4

Question 13 of 20

Question 14 of 20

14. The derivative of the function y = tanx is

1.tanx sec² 45⁰ + sec² x tan 45⁰

2.Sec² 45⁰

3.Sec²x

4.sec²x sec²45⁰

Question 14 of 20

Question 15 of 20

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

1.5

2.2

3.6

4.3

Question 15 of 20

Question 16 of 20

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

1.cosx + cosx + cosx

2.3 cos x

3.9 cosx

4.9 sin x

Question 16 of 20

Question 17 of 20

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

1.4tan⁷ θ

2.– 2tan⁵ θ

3.4tan⁵ θ

4.– 4tan⁷ θ

Question 17 of 20

Question 18 of 20

18. 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 18 of 20

Question 19 of 20

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

1.negligible

2.small

3.large

4.very large

Question 19 of 20

Question 20 of 20

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

1.sin a

2.cos a

3.x cos a + sin a

4.– x cos a + sin a

Question 20 of 20

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