Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

20 of 139 · show all

1. 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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2. 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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3. Q78 20232023 Set E

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

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4. Q79 2023

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

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5. Q80 2023

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

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6. Q81 20232023 Set E

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

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7. Q82 2023

   If $x = a\cos^2\theta$, $y = b\sin^2\theta$, then the value of $\dfrac{dy}{dx}$ is

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8. Q83 2023

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

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9. Q84 2023

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

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10. Q85 20232023 Set E

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

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11. Q86 2023

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

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12. Q87 20232023 Set E

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

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13. Q88 20232023 Set E

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

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14. Q89 20232023 Set E

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

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15. Q90 20232023 Set E

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

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16. Q91 2023 Set E

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

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17. Q92 2023 Set E

    If $x=a\cos^2\theta,\ y=b\sin^2\theta$ then the value of $\frac{dy}{dx}$ is

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18. Q93 2023 Set E

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

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19. Q94 2023 Set E

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

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20. Q95 2023 Set E

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

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