Continuity and Differentiability

CBSE Class 12 · Mathematics · 41 past questions

11 of 41 · show all

1. Q24 2024

   Which of the following statements is true for the function…

   Try it →
2. Q25 2024

   Let $f(x)$ be a continuous function on $[a, b]$ and differentiable on $(a, b)$. Then, this function $f(x)$ is…

   Try it →
3. Q26 2024

   The derivative of $\sin(x^2)$ w.r.t. $x$, at $x = \sqrt{\pi}$ is…

   Try it →
4. Q27 2024

   A function $f(x) = |1 - x + |x||$ is…

   Try it →
5. Q28 2024

   If the sides of a square are decreasing at the rate of $1.5$ cm/s, the rate of decrease of its perimeter is…

   Try it →
6. Q29 2024

   The derivative of $2^x$ w.r.t. $3^x$ is…

   Try it →
7. Q30 2024

   If $x\cos(p+y)+\cos p\sin(p+y)=0$, prove that $\cos p\,\frac{dy}{dx} = -\cos^2(p+y)$, where p is a constant.

   Try it →
8. Q31 2024

   The number of points of discontinuity of…

   Try it →
9. Q32 2024

   The derivative of $\tan^{-1}(x^2)$ w.r.t. $x$ is…

   Try it →
10. Q33 2024

    If $f(x) = |\tan 2x|$, then find the value of $f'(x)$ at $x = \dfrac{\pi}{3}$.

    Try it →
11. Q34 2024

    If $x = e^{\cos 3t}$ and $y = e^{\sin 3t}$, prove that $\frac{dy}{dx} = -\frac{y\log x}{x\log y}$.

    Try it →