Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

29 of 139 · show all

1. Q1 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set D2026 Set J2026 Set B

   $\frac{d}{dx}\sqrt{x^2+ax+1} =$

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

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

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3. Q3 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\frac{d}{dx}\sqrt{\cot x} =$

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4. 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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5. 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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6. 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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7. 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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8. Q8 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set J2026 Set B

   Find $\frac{dy}{dx}$ when $x=at^2,\ y=2at$.

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9. Q9 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   If $y=\sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\ldots}}}$ then $\dfrac{dy}{dx}=$

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10. Q10 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

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

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11. Q11 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set B2026 Set F2026 Set D2026 Set J2023 Set E

    If $x = a(1-\cos\theta)$, $y = a(\theta + \sin\theta)$, then $\frac{dy}{dx} =$

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12. Q12 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

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

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13. Q13 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

    $\frac{d}{dx}\sin^{-1}(3x - 4x^3) =$

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14. 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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15. Q15 2026 Set C

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

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16. Q16 2026 Set C

    $\frac{d}{dx}\sqrt{x^2 + ax + 1} =$

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17. Q17 2026 Set E2026 Set B2026 Set F

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

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18. 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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19. 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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20. 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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21. Q21 2026 Set H

    The equation of the tangent to the curve $y=x^2+4x+1$ at the point $x=3$ is

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22. Q22 2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set B

    If $x^n+y^n=a^n$ then $\dfrac{dy}{dx}=$

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

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

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24. 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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25. Q25 2026 Set J2026 Set A2026 Set E

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

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26. 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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27. Q27 2026 Set J2026 Set A2026 Set D2026 Set H

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

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28. Q28 2026 Set J2026 Set A

    If $x^n + y^n = a^n$ then $\frac{dy}{dx} =$

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29. Q29 2026 Set J

    $\dfrac{d}{dx}\left(\sin x^2\right)=$

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