Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

28 of 139 · show all

1. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set B2026 Set F2026 Set D2021 Set I

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

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2. Q4 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

   $\frac{d}{dx}\left\{\lim_{x\to 0}\frac{x^5-a^5}{x-a}\right\} =$

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3. 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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4. 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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5. Q7 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

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

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6. 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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7. 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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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. Q26 2026 Set J2025 Set A2025 Set E2023 Set E2021 Set J2021 Set I

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

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10. Q73 2024 Set J2024 Set D2021 Set J

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

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11. Q74 2024 Set J2024 Set D2021 Set J

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

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12. Q96 2021 Set I

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

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13. Q97 2021 Set I

    $\frac{d}{dx}\{\sin^{-1}(3x-4x^3)\}$ ; ................ $-\frac{1}{2}\le x\le\frac{1}{2}$

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14. Q98 2021 Set I

    $\dfrac{d}{dx}\left[\lim_{x\to 0}\cos 3x\right] =$

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15. Q99 2021 Set I

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

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16. Q100 2021 Set J2021 Set I2017

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

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17. Q101 2021 Set J2021 Set I

    $\frac{d^3y}{dx^3}(x^4) =$

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18. Q102 2021 Set J2021 Set I

    $\frac{d}{dx}\left(\sqrt{x^2+ax+1}\right) =$

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19. Q103 2021 Set J2021 Set I

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

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20. Q104 2021 Set J2021 Set I

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

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21. Q105 2021 Set J2021 Set I

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

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22. Q106 2021 Set J

    $\dfrac{d}{dx}\{\sin^{-1}(3x-4x^3)\}=\ldots\ldots,\ -\frac{1}{2}\le x\le\frac{1}{2}$

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23. Q107 2021 Set J2021 Set I

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

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24. Q108 2021 Set J

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

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25. Q109 2021 Set J

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

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26. Q110 2021 Set J2021 Set I

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

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27. Q111 2021 Set J

    $\frac{d}{dx}\left[\lim_{x\to 0}\cos 3x\right] =$

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28. Q112 2021 Set J2021 Set I

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

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