Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

8 of 139 · show all

1. 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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2. Q12 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   If $y = x^x$ then $\frac{dy}{dx} =$

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3. Q22 2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set B

   If $x^n+y^n=a^n$ then $\dfrac{dy}{dx}=$

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4. Q28 2026 Set J2026 Set A

   If $x^n + y^n = a^n$ then $\frac{dy}{dx} =$

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5. Q42 2025

   If $\tan^{-1}(x^2+y^2) = K$ then find $\dfrac{dy}{dx}$.

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6. Q120 2018

   If $x^2 y^3 = (x+y)^5$ then, $\frac{dy}{dx}$

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7. Q125 2018

   Find $\frac{dy}{dx}$ if $x=y\log(xy)$

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8. Q127 2018

   If $y = \sqrt{x+\sqrt{x+\sqrt{x+\cdots\text{ to }\infty}}}$ then find $\dfrac{dy}{dx}$.

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