Continuity and Differentiability

CBSE Class 12 · Mathematics · 41 past questions

10 of 41 · show all

1. Q1 2026

   Check whether function $f(x)$ defined as…

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2. Q2 2026

   If $e^{-x}+e^{-y}=2$, then $\frac{dy}{dx}$ is

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3. Q3 2026

   For f(x) = x + $\frac{1}{x}$ (x ≠ 0)

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4. Q4 2026

   If $x = a\sin^3 t,\ y = b\cos^3 t$, then find $\dfrac{dy}{dx}$ at $t = \dfrac{\pi}{4}$.

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5. Q5 2026

   Find the absolute maximum value of $f(x) = \cos x + \sin^2 x,\ x \in [0, \pi]$

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6. Q6 2026

   The value of k for which the function…

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7. Q7 2026

   If $\sin^{-1} x = y$, then $\frac{dy}{dx}$ is…

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8. Q8 2026

   The rate of change of volume of a sphere with respect to its diameter, when its radius is 5 cm, is…

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9. Q9 2026

   If $x = t + \frac{1}{t}$ and $y = t - \frac{1}{t}$, find $\frac{dy}{dx}$ at $t = 2$.

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10. Q10 2026

    If $(\sin x)^y=y^{\cos x}$, then find $\frac{dy}{dx}$.

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