Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

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1. 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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2. 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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3. Q45 2025

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

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4. Q118 2019 Set F

   The slope of the tangent to the curve $x = t^2 + 3t - 8,\ y = 2t^2 - 2t - 5$ at the point $(2,-1)$ is -

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5. Q139 2015

   If $y = \tan^{-1} x$, then find $\frac{dy}{dx}$ by first principle.

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