Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

11 of 139 · show all

1. Q31 2025

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

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2. Q40 2025

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

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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. Q47 2025 Set A2025 Set E

   $\dfrac{d}{dx}\{\log_3 x \times \log_x 3\} =$

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6. Q48 2025 Set A2025 Set E

   $\frac{d}{dx}(\sec^2 x - \tan^2 x) =$

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7. Q50 2025 Set A

   $\frac{d}{dx}\left[\lim_{x\to a}\frac{x^n + a^n}{x + a}\right] =$

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8. Q52 2025 Set A2025 Set E

   $\frac{d}{dx}\left[\frac{(x+2)(x^2-2x+4)}{x^3+8}\right]=$

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9. Q54 2025 Set A2025 Set E

   $\frac{d}{dx}\left[(1-\cos 2x)+2\cos^2 x\right]=$

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10. Q57 2025 Set A2025 Set E

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

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11. Q62 2025 Set E

    $\frac{d}{dx}\left[\lim_{x\to a}\frac{x^n+a^n}{x+a}\right]=$

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