Punjab 12th Class Math Chapter 2 Differentiation Mcqs Test Online

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Question 1 of 20

Math

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

1.6

2.5

3.3

4.2

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

1.1

2.none of these

3.e

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

3.2

4.– 4

Question 3 of 20

Question 4 of 20

4. The derivative of e² w.r.to x is

1.2e

2.2

3.1

4.0

Question 4 of 20

Question 5 of 20

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

1.negligible

2.large

3.small

4.very large

Question 5 of 20

Question 6 of 20

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

1.116

2.6

3.0

4.4

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

1.2ft

2.16ft

3.32ft

4.48ft

Question 7 of 20

Question 8 of 20

8. 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

2.3.5

3.2.5

4.3

Question 8 of 20

Question 9 of 20

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

1.a sec² (ax + b)

2.sec² (ax + b)

3.b sec² (ax + b)

4.1

Question 9 of 20

Question 10 of 20

10. 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

1.16ft

2.32t

3.0

4.2ft

Question 10 of 20

Question 11 of 20

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

1.a/x

2.ax

3.x/a

4.0

Question 11 of 20

Question 12 of 20

12. The derivative of the function  is

1.Sec² 45⁰ Cosx

2.– Cosec² 45⁰ Cotx

3.Cosx

4.Sec²45⁰ Sinx

Question 12 of 20

Question 13 of 20

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

1.9 cosx

2.3 cos x

3.9 sin x

4.cosx + cosx + cosx

Question 13 of 20

Question 14 of 20

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

1.B

2.A

3.D

4.C

Question 14 of 20

Question 15 of 20

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

1.2

2.e

3.10

4.0

Question 15 of 20

Question 16 of 20

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

1.cos a

2.– x cos a + sin a

3.x cos a + sin a

4.sin a

Question 16 of 20

Question 17 of 20

17. The derivative of the function y = tanx is

1.Sec²x

2.tanx sec² 45⁰ + sec² x tan 45⁰

3.sec²x sec²45⁰

4.Sec² 45⁰

Question 17 of 20

Question 18 of 20

18. 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 a

3.The derivative of f at x = h

4.The derivative of f at x

Question 18 of 20

Question 19 of 20

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

1.– 4tan⁷ θ

2.– 2tan⁵ θ

3.4tan⁵ θ

4.4tan⁷ θ

Question 19 of 20

Question 20 of 20

20. The value of the limit  is equal to

1.7a⁷

2.7a⁶

3.0

4.0/0

Question 20 of 20

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