Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

60 of 139 · show all

1. Q5 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set B2021 Set J2021 Set I

   $\frac{d}{dx}(e^{x-a}) =$

   Try it →
2. Q6 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2025 Set A2025 Set E2021 Set J2021 Set I

   $\frac{d}{dx}(\log x^n) =$

   Try it →
3. Q14 2026 Set A2026 Set E2026 Set J2025 Set A2025 Set E

   $\frac{d}{dx}\left[2\tan^{-1}x\right]=$

   Try it →
4. Q15 2026 Set C

   $\frac{d}{dx}(\sin3x\cos5x)=$

   Try it →
5. Q18 2026 Set F2026 Set H2026 Set B2026 Set D

   $\frac{d}{dx}(\tan^{-1}\sqrt{x} + \cot^{-1}\sqrt{x}) =$

   Try it →
6. Q19 2026 Set H2026 Set B2026 Set F2026 Set D2021 Set J2021 Set I

   $\frac{d}{dx}(2\tan^{-1}x) =$

   Try it →
7. Q20 2026 Set H2026 Set C2026 Set F2026 Set D2026 Set B2021 Set J2021 Set I

   $\frac{d}{dx}(\log\sqrt{x}) =$

   Try it →
8. Q23 2026 Set H2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\frac{d}{dx}(\cot^{-1} x) =$

   Try it →
9. Q24 2026 Set J2026 Set A2026 Set E2021 Set I

   $\frac{d}{dx}\left(\tan^{-1}\sqrt{x} + \cot^{-1}\sqrt{x}\right) =$

   Try it →
10. Q27 2026 Set J2026 Set A2026 Set D2026 Set H

    $\frac{d}{dx}(\sin 3x \cdot \cos 5x) =$

    Try it →
11. Q30 2025

    $\dfrac{d(\sin x)}{dx} =$

    Try it →
12. Q36 2025

    $\dfrac{d\ (2+\cos 2x)}{dx} =$

    Try it →
13. Q37 2025

    $\dfrac{d(\text{cosec}^{-1}x)}{dx} =$

    Try it →
14. Q38 2025

    $\dfrac{d(\log(\sec x))}{dx} =$

    Try it →
15. Q39 2025

    $\dfrac{d(3x^2-\cos x+2)}{dx} =$

    Try it →
16. Q49 2025 Set A

    $\frac{d}{dx}[e^2 + 2ex] =$

    Try it →
17. Q51 2025 Set A

    $\frac{d}{dx}\left[\sin^{-1}2x\right]=$

    Try it →
18. Q53 2025 Set A2025 Set E

    $\frac{d}{dx}\left[2\sqrt{x}\right]=$

    Try it →
19. Q55 2025 Set A2025 Set E

    $\frac{d}{dx}\left[\log x^2+\log a^2\right]=$

    Try it →
20. Q58 2025 Set A

    $\dfrac{d}{dx}(\log x^{100}) =$

    Try it →
21. Q60 2025 Set E

    $\dfrac{d}{dx}\left(\log x^{100}\right) =$

    Try it →
22. Q61 2025 Set E

    $\frac{d}{dx}[e^2+2ex] =$

    Try it →
23. Q63 2025 Set E

    $\frac{d}{dx}(\sin^{-1}2x)=$

    Try it →
24. Q64 2024 Set D2024 Set J

    $\frac{d}{dx}(x^5+\cos 2x)=$

    Try it →
25. Q67 2024 Set D

    $\dfrac{d}{dx}(\sec^{-1}x+\operatorname{cosec}^{-1}x)=$

    Try it →
26. Q72 2024 Set D2024 Set J

    $\dfrac{d}{dx}(\sec^{-1}x)=$

    Try it →
27. Q73 2024 Set J2024 Set D2021 Set J

    $\frac{d}{dx}(\sin^2 x)=$

    Try it →
28. Q74 2024 Set J2024 Set D2021 Set J

    $\frac{d}{dx}(a^x)=$

    Try it →
29. Q78 20232023 Set E

    $\dfrac{d}{dx}\left(2\cos\dfrac{3x}{4}\right) =$

    Try it →
30. Q79 2023

    $\dfrac{d}{dx}(e^{-3x}) =$

    Try it →
31. Q80 2023

    $\dfrac{d}{dx}(11^x) =$

    Try it →
32. Q81 20232023 Set E

    $\dfrac{d}{dx}\left(\dfrac{1}{3x-2}\right) =$

    Try it →
33. Q83 2023

    $\dfrac{d}{dx}(e^x + \cos 5x) =$

    Try it →
34. Q84 2023

    $\dfrac{d}{dx}(\sin 2x + e^x - \cos x) =$

    Try it →
35. Q85 20232023 Set E

    $\dfrac{d}{dx}\left(\dfrac{1}{4}\sec 4x\right) =$

    Try it →
36. Q86 2023

    $\dfrac{d}{dx}(\log_e 10x) =$

    Try it →
37. Q87 20232023 Set E

    $\dfrac{d}{dx}\left(\sin \dfrac{4x}{5}\right) =$

    Try it →
38. Q88 20232023 Set E

    $\frac{d}{dx}(x^3+e^x) =$

    Try it →
39. Q89 20232023 Set E

    $\frac{d}{dx}(\tan x + \sin^2 x) =$

    Try it →
40. Q91 2023 Set E

    $\frac{d}{dx}\left(11^{x}\right) =$

    Try it →
41. Q93 2023 Set E

    $\frac{d}{dx}\left(e^x + \cos 5x\right) =$

    Try it →
42. Q94 2023 Set E

    $\frac{d}{dx}\left(\sin 2x + e^x - \cos x\right) =$

    Try it →
43. Q95 2023 Set E

    $\frac{d}{dx}\left(\log_e 10x\right) =$

    Try it →
44. Q96 2021 Set I

    $\frac{d}{dx}(\log 3^x)=$

    Try it →
45. Q99 2021 Set I

    $\frac{d}{dx}(5^x) =$

    Try it →
46. Q100 2021 Set J2021 Set I2017

    $\frac{d}{dx}(\tan ax)=$

    Try it →
47. Q103 2021 Set J2021 Set I

    $\frac{d}{dx}(2e^{2x}) =$

    Try it →
48. Q108 2021 Set J

    $\dfrac{d}{dx}\{\sin^{-1}\sqrt{x}+\cos^{-1}\sqrt{x}\}=$

    Try it →
49. Q109 2021 Set J

    $\dfrac{d}{dx}\left(\log 3^x\right) =$

    Try it →
50. Q110 2021 Set J2021 Set I

    $\dfrac{d}{dx}\left(\dfrac{1}{\sin x}+e^x\right) =$

    Try it →
51. Q112 2021 Set J2021 Set I

    $\frac{d}{dx}(\sqrt{x}) =$

    Try it →
52. Q113 2019 Set F

    $\frac{d}{dx}[\sin^2 x] = ?$

    Try it →
53. Q114 2019 Set F

    $\frac{d}{dx}[\log x]=?$

    Try it →
54. Q115 2019 Set F

    $\frac{d}{dx}[\sin^{-1}x+\cos^{-1}x]=?$

    Try it →
55. Q116 2019 Set F

    $\frac{d}{dx}[\tan x] = ?$

    Try it →
56. Q117 2019 Set F

    $\frac{d}{dx}[\sin^{-1} x] = ?$

    Try it →
57. Q128 2017

    $\frac{d}{dx}(\tan ax)=$

    Try it →
58. Q129 2017

    $\frac{d}{dx}(\sec x)=$

    Try it →
59. Q130 2017

    $\frac{d}{dx}(\sin^{-1}x)=$

    Try it →
60. Q132 2017

    If $y = x^5$ then $\frac{dy}{dx} = $ ...........

    Try it →