Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

58 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

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

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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

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

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3. Q14 2026 Set A2026 Set E2026 Set J2025 Set A2025 Set E

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

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4. Q18 2026 Set F2026 Set H2026 Set B2026 Set D

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

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5. Q19 2026 Set H2026 Set B2026 Set F2026 Set D2021 Set J2021 Set I

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

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6. Q20 2026 Set H2026 Set C2026 Set F2026 Set D2026 Set B2021 Set J2021 Set I

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

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7. Q23 2026 Set H2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

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

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8. Q24 2026 Set J2026 Set A2026 Set E2021 Set I

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

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9. Q30 2025

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

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10. Q36 2025

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

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11. Q37 2025

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

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12. Q38 2025

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

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13. Q39 2025

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

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14. Q49 2025 Set A

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

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15. Q51 2025 Set A

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

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16. Q53 2025 Set A2025 Set E

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

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17. Q55 2025 Set A2025 Set E

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

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18. Q58 2025 Set A

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

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19. Q60 2025 Set E

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

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20. Q61 2025 Set E

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

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21. Q63 2025 Set E

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

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22. Q64 2024 Set D2024 Set J

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

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23. Q67 2024 Set D

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

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24. Q72 2024 Set D2024 Set J

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

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25. Q73 2024 Set J2024 Set D2021 Set J

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

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26. Q74 2024 Set J2024 Set D2021 Set J

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

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27. Q78 20232023 Set E

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

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28. Q79 2023

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

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29. Q80 2023

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

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30. Q81 20232023 Set E

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

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31. Q83 2023

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

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32. Q84 2023

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

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33. Q85 20232023 Set E

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

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34. Q86 2023

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

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35. Q87 20232023 Set E

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

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36. Q88 20232023 Set E

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

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37. Q89 20232023 Set E

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

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38. Q91 2023 Set E

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

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39. Q93 2023 Set E

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

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40. Q94 2023 Set E

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

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41. Q95 2023 Set E

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

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42. Q96 2021 Set I

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

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43. Q99 2021 Set I

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

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44. Q100 2021 Set J2021 Set I2017

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

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45. Q103 2021 Set J2021 Set I

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

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46. Q108 2021 Set J

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

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47. Q109 2021 Set J

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

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48. Q110 2021 Set J2021 Set I

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

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49. Q112 2021 Set J2021 Set I

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

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50. Q113 2019 Set F

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

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51. Q114 2019 Set F

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

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52. Q115 2019 Set F

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

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53. Q116 2019 Set F

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

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54. Q117 2019 Set F

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

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55. Q128 2017

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

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56. Q129 2017

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

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57. Q130 2017

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

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58. Q132 2017

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

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