Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

9 of 139 · show all

1. Q31 2025

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

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2. Q34 2025

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

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3. Q41 2025

   If $x = 3\cos\theta - 2\cos^3\theta$, $y = 3\sin\theta - 2\sin^3\theta$ then find $\dfrac{dy}{dx}$.

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4. Q43 2025

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

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5. Q44 2025

   If $\sqrt{x}+\sqrt{y}=1$ then find the value of $\dfrac{dy}{dx}$ at point $\left(\dfrac14,\dfrac14\right)$.

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6. Q45 2025

   If the curves $ay+x^2=7$ and $x^3=y$ cut each other orthogonally at $(1,1)$.

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7. 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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8. Q57 2025 Set A2025 Set E

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

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9. Q59 2025 Set A2025 Set E

   $\dfrac{d}{dx}\left[\sin^{-1}\left(2x\sqrt{1-x^2}\right)\right] =$

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