Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

8 of 139 · show all

1. 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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2. 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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3. 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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4. 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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5. Q15 2026 Set C

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

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6. Q17 2026 Set E2026 Set B2026 Set F

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

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7. 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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8. Q27 2026 Set J2026 Set A2026 Set D2026 Set H

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

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