Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

14 of 139 · show all

1. Q64 2024 Set D2024 Set J

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

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2. Q65 2024 Set D2024 Set J

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

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3. Q66 2024 Set D2024 Set J

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

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4. Q67 2024 Set D

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

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5. Q68 2024 Set D2024 Set J

   If $y=\tan^{-1}\left(\dfrac{1-\cos x}{\sin x}\right)$ then $\dfrac{dy}{dx}=$

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6. Q69 2024 Set D

   If $x = a\sec\theta,\ y = b\tan\theta$ then $\frac{dy}{dx} =$

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7. Q70 2024 Set D2024 Set J

   If $y=\sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\ldots\text{ to }\infty}}}$ then $\frac{dy}{dx} =$

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8. Q71 2024 Set D2024 Set J

   If $y=x^{20}$ then $\frac{d^2y}{dx^2}=$

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9. Q72 2024 Set D2024 Set J

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

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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. Q75 2024 Set J

    The slope of the tangent to the curve $y = 2x^2 + 3\sin x$ at $x = 0$ is

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13. 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

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14. Q77 2024 Set J

    If $x=a\sec\theta,\ y=b\tan\theta$ then $\frac{dy}{dx}=$

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