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← Bihar Board Class 12 PYQ

Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

105 of 139 · show all

  1. Q1 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set D2026 Set J2026 Set B
    $\frac{d}{dx}\sqrt{x^2+ax+1} =$
  2. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set B2026 Set F2026 Set D2021 Set I
    $\frac{d}{dx}(\sin x^2) =$
  3. Q3 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\frac{d}{dx}\sqrt{\cot x} =$
  4. Q5 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set B2021 Set J2021 Set I
    $\frac{d}{dx}(e^{x-a}) =$
  5. 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
    $\frac{d}{dx}(\log x^n) =$
  6. Q7 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I
    $\frac{d^2}{dx^2}(\sin 2x) =$
  7. Q8 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set J2026 Set B
    Find $\frac{dy}{dx}$ when $x=at^2,\ y=2at$.
  8. Q10 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\frac{d}{dx}(\cos x^3) =$
  9. Q12 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    If $y = x^x$ then $\frac{dy}{dx} =$
  10. Q14 2026 Set A2026 Set E2026 Set J2025 Set A2025 Set E
    $\frac{d}{dx}\left[2\tan^{-1}x\right]=$
  11. Q16 2026 Set C
    $\frac{d}{dx}\sqrt{x^2 + ax + 1} =$
  12. Q18 2026 Set F2026 Set H2026 Set B2026 Set D
    $\frac{d}{dx}(\tan^{-1}\sqrt{x} + \cot^{-1}\sqrt{x}) =$
  13. Q19 2026 Set H2026 Set B2026 Set F2026 Set D2021 Set J2021 Set I
    $\frac{d}{dx}(2\tan^{-1}x) =$
  14. Q20 2026 Set H2026 Set C2026 Set F2026 Set D2026 Set B2021 Set J2021 Set I
    $\frac{d}{dx}(\log\sqrt{x}) =$
  15. Q22 2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set B
    If $x^n+y^n=a^n$ then $\dfrac{dy}{dx}=$
  16. Q23 2026 Set H2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\frac{d}{dx}(\cot^{-1} x) =$
  17. Q24 2026 Set J2026 Set A2026 Set E2021 Set I
    $\frac{d}{dx}\left(\tan^{-1}\sqrt{x} + \cot^{-1}\sqrt{x}\right) =$
  18. Q25 2026 Set J2026 Set A2026 Set E
    $\frac{d}{dx}\left(\cos\sqrt{x}\right) =$
  19. Q26 2026 Set J2025 Set A2025 Set E2023 Set E2021 Set J2021 Set I
    $\dfrac{d}{dx}\left(e^{x^3}\right) =$
  20. Q28 2026 Set J2026 Set A
    If $x^n + y^n = a^n$ then $\frac{dy}{dx} =$
  21. Q29 2026 Set J
    $\dfrac{d}{dx}\left(\sin x^2\right)=$
  22. Q30 2025
    $\dfrac{d(\sin x)}{dx} =$
  23. Q32 2025
    If $y = t^{21}$ then $\dfrac{d^2y}{dt^2} =$
  24. Q33 2025
    If $x = 4t, y = \dfrac{4}{t}$ then $\dfrac{dy}{dx} =$
  25. Q35 2025
    $\dfrac{d\ \sin(\sqrt{x})}{dx} =$
  26. Q36 2025
    $\dfrac{d\ (2+\cos 2x)}{dx} =$
  27. Q37 2025
    $\dfrac{d(\text{cosec}^{-1}x)}{dx} =$
  28. Q38 2025
    $\dfrac{d(\log(\sec x))}{dx} =$
  29. Q39 2025
    $\dfrac{d(3x^2-\cos x+2)}{dx} =$
  30. Q40 2025
    $\dfrac{d\left(e^{\log x^2}\right)}{dx} =$
  31. Q42 2025
    If $\tan^{-1}(x^2+y^2) = K$ then find $\dfrac{dy}{dx}$.
  32. Q47 2025 Set A2025 Set E
    $\dfrac{d}{dx}\{\log_3 x \times \log_x 3\} =$
  33. Q48 2025 Set A2025 Set E
    $\frac{d}{dx}(\sec^2 x - \tan^2 x) =$
  34. Q49 2025 Set A
    $\frac{d}{dx}[e^2 + 2ex] =$
  35. Q50 2025 Set A
    $\frac{d}{dx}\left[\lim_{x\to a}\frac{x^n + a^n}{x + a}\right] =$
  36. Q51 2025 Set A
    $\frac{d}{dx}\left[\sin^{-1}2x\right]=$
  37. Q52 2025 Set A2025 Set E
    $\frac{d}{dx}\left[\frac{(x+2)(x^2-2x+4)}{x^3+8}\right]=$
  38. Q53 2025 Set A2025 Set E
    $\frac{d}{dx}\left[2\sqrt{x}\right]=$
  39. Q54 2025 Set A2025 Set E
    $\frac{d}{dx}\left[(1-\cos 2x)+2\cos^2 x\right]=$
  40. Q55 2025 Set A2025 Set E
    $\frac{d}{dx}\left[\log x^2+\log a^2\right]=$
  41. Q56 2025 Set A2025 Set E
    $\frac{d}{dx}\left[e^{x^2}\right]=$
  42. Q58 2025 Set A
    $\dfrac{d}{dx}(\log x^{100}) =$
  43. Q60 2025 Set E
    $\dfrac{d}{dx}\left(\log x^{100}\right) =$
  44. Q61 2025 Set E
    $\frac{d}{dx}[e^2+2ex] =$
  45. Q62 2025 Set E
    $\frac{d}{dx}\left[\lim_{x\to a}\frac{x^n+a^n}{x+a}\right]=$
  46. Q63 2025 Set E
    $\frac{d}{dx}(\sin^{-1}2x)=$
  47. Q64 2024 Set D2024 Set J
    $\frac{d}{dx}(x^5+\cos 2x)=$
  48. Q65 2024 Set D2024 Set J
    $\frac{d}{dx}\log(\cos x)=$
  49. Q66 2024 Set D2024 Set J
    $\dfrac{d}{dx}\log(\sec x+\tan x)=$
  50. Q67 2024 Set D
    $\dfrac{d}{dx}(\sec^{-1}x+\operatorname{cosec}^{-1}x)=$
  51. Q69 2024 Set D
    If $x = a\sec\theta,\ y = b\tan\theta$ then $\frac{dy}{dx} =$
  52. Q71 2024 Set D2024 Set J
    If $y=x^{20}$ then $\frac{d^2y}{dx^2}=$
  53. Q72 2024 Set D2024 Set J
    $\dfrac{d}{dx}(\sec^{-1}x)=$
  54. Q73 2024 Set J2024 Set D2021 Set J
    $\frac{d}{dx}(\sin^2 x)=$
  55. Q74 2024 Set J2024 Set D2021 Set J
    $\frac{d}{dx}(a^x)=$
  56. Q75 2024 Set J
    The slope of the tangent to the curve $y = 2x^2 + 3\sin x$ at $x = 0$ is
  57. Q76 2024 Set J
    The rate of change of the area of a circle with respect to its radius $r$ ( in cm$^2$/cm) at $r = 6$ cm is
  58. Q77 2024 Set J
    If $x=a\sec\theta,\ y=b\tan\theta$ then $\frac{dy}{dx}=$
  59. Q78 20232023 Set E
    $\dfrac{d}{dx}\left(2\cos\dfrac{3x}{4}\right) =$
  60. Q79 2023
    $\dfrac{d}{dx}(e^{-3x}) =$
  61. Q80 2023
    $\dfrac{d}{dx}(11^x) =$
  62. Q81 20232023 Set E
    $\dfrac{d}{dx}\left(\dfrac{1}{3x-2}\right) =$
  63. Q82 2023
    If $x = a\cos^2\theta$, $y = b\sin^2\theta$, then the value of $\dfrac{dy}{dx}$ is
  64. Q83 2023
    $\dfrac{d}{dx}(e^x + \cos 5x) =$
  65. Q84 2023
    $\dfrac{d}{dx}(\sin 2x + e^x - \cos x) =$
  66. Q85 20232023 Set E
    $\dfrac{d}{dx}\left(\dfrac{1}{4}\sec 4x\right) =$
  67. Q86 2023
    $\dfrac{d}{dx}(\log_e 10x) =$
  68. Q87 20232023 Set E
    $\dfrac{d}{dx}\left(\sin \dfrac{4x}{5}\right) =$
  69. Q88 20232023 Set E
    $\frac{d}{dx}(x^3+e^x) =$
  70. Q89 20232023 Set E
    $\frac{d}{dx}(\tan x + \sin^2 x) =$
  71. Q90 20232023 Set E
    $\frac{d^2}{dx^2}(e^{5x}) =$
  72. Q91 2023 Set E
    $\frac{d}{dx}\left(11^{x}\right) =$
  73. Q93 2023 Set E
    $\frac{d}{dx}\left(e^x + \cos 5x\right) =$
  74. Q94 2023 Set E
    $\frac{d}{dx}\left(\sin 2x + e^x - \cos x\right) =$
  75. Q95 2023 Set E
    $\frac{d}{dx}\left(\log_e 10x\right) =$
  76. Q96 2021 Set I
    $\frac{d}{dx}(\log 3^x)=$
  77. Q98 2021 Set I
    $\dfrac{d}{dx}\left[\lim_{x\to 0}\cos 3x\right] =$
  78. Q99 2021 Set I
    $\frac{d}{dx}(5^x) =$
  79. Q100 2021 Set J2021 Set I2017
    $\frac{d}{dx}(\tan ax)=$
  80. Q101 2021 Set J2021 Set I
    $\frac{d^3y}{dx^3}(x^4) =$
  81. Q102 2021 Set J2021 Set I
    $\frac{d}{dx}\left(\sqrt{x^2+ax+1}\right) =$
  82. Q103 2021 Set J2021 Set I
    $\frac{d}{dx}(2e^{2x}) =$
  83. Q104 2021 Set J2021 Set I
    $\frac{d}{dx}(\tan x^2) =$
  84. Q105 2021 Set J2021 Set I
    $\frac{d}{dx}\left(\sqrt{\cot x}\right) =$
  85. Q107 2021 Set J2021 Set I
    $\dfrac{d}{dx}(\sin\sqrt{x})=$
  86. Q108 2021 Set J
    $\dfrac{d}{dx}\{\sin^{-1}\sqrt{x}+\cos^{-1}\sqrt{x}\}=$
  87. Q109 2021 Set J
    $\dfrac{d}{dx}\left(\log 3^x\right) =$
  88. Q110 2021 Set J2021 Set I
    $\dfrac{d}{dx}\left(\dfrac{1}{\sin x}+e^x\right) =$
  89. Q111 2021 Set J
    $\frac{d}{dx}\left[\lim_{x\to 0}\cos 3x\right] =$
  90. Q112 2021 Set J2021 Set I
    $\frac{d}{dx}(\sqrt{x}) =$
  91. Q113 2019 Set F
    $\frac{d}{dx}[\sin^2 x] = ?$
  92. Q114 2019 Set F
    $\frac{d}{dx}[\log x]=?$
  93. Q115 2019 Set F
    $\frac{d}{dx}[\sin^{-1}x+\cos^{-1}x]=?$
  94. Q116 2019 Set F
    $\frac{d}{dx}[\tan x] = ?$
  95. Q117 2019 Set F
    $\frac{d}{dx}[\sin^{-1} x] = ?$
  96. Q119 2018
    $\frac{d}{dx}\left[\log(\sec x + \tan x)\right] =$
  97. Q128 2017
    $\frac{d}{dx}(\tan ax)=$
  98. Q129 2017
    $\frac{d}{dx}(\sec x)=$
  99. Q130 2017
    $\frac{d}{dx}(\sin^{-1}x)=$
  100. Q131 2017
    If $y = \sin(\log x)$, then $\frac{dy}{dx} = $ ...........
  101. Q132 2017
    If $y = x^5$ then $\frac{dy}{dx} = $ ...........
  102. Q134 2016
    If $y=\cos(\log x)$, then $\frac{dy}{dx}$
  103. Q135 2016
    If $y=x^3$, then $\frac{d^2y}{dx^2}=$
  104. Q136 2015
    If $y=\sin\left(x^3\right)$
  105. Q137 2015
    $y=\tan^2x$, then $\dfrac{dy}{dx}$