Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

8 of 139 · show all

1. Q21 2026 Set H

   The equation of the tangent to the curve $y=x^2+4x+1$ at the point $x=3$ is

   Try it →
2. Q44 2025

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

   Try it →
3. Q45 2025

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

   Try it →
4. Q75 2024 Set J

   The slope of the tangent to the curve $y = 2x^2 + 3\sin x$ at $x = 0$ is

   Try it →
5. Q76 2024 Set J

   The rate of change of the area of a circle with respect to its radius $r$ ( in cm$^2$/cm) at $r = 6$ cm is

   Try it →
6. 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 -

   Try it →
7. Q138 2015

   If $\sin\{\cos[\tan(\cot x)]\}$, find $\frac{dy}{dx}$ by first principle.

   Try it →
8. Q139 2015

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

   Try it →