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← CBSE Class 12 PYQ

Continuity and Differentiability

CBSE Class 12 · Mathematics · 41 past questions

2 of 41 · show all

  1. Q4 2026
    If $x = a\sin^3 t,\ y = b\cos^3 t$, then find $\dfrac{dy}{dx}$ at $t = \dfrac{\pi}{4}$.
  2. Q9 2026
    If $x = t + \frac{1}{t}$ and $y = t - \frac{1}{t}$, find $\frac{dy}{dx}$ at $t = 2$.