Continuity and Differentiability

CBSE Class 12 · Mathematics · 41 past questions

3 of 41 · show all

1. 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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2. 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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3. Q34 2024

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

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