Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

7 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. Q31 2025

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

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3. Q43 2025

   If $y = \log\left|\dfrac{1-x^2}{1+x^2}\right|$, then find $\dfrac{dy}{dx}$.

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4. Q46 2025 Set A2025 Set E

   $\dfrac{d}{dx}\left\{\lim_{n\to 1}\dfrac{x^n - 1}{n+1}\right\} =$

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5. Q57 2025 Set A2025 Set E

   $\frac{d}{dx}\{\cos(\pi x+\sin \pi)\} =$

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6. 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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7. Q124 2018

   $\dfrac{d}{dx}\left[\lim_{x\to a}\dfrac{x^{5}-a^{5}}{x-a}\right]=$

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