Find dy/dx for given parametric equations, evaluated at a specific parameter value

CBSE Class 12 · Mathematics · Continuity and Differentiability · similar questions asked in 1 year (2026)

1. Q1 2026 2 marks

   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. Q2 2026 2 marks

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

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