Question:medium

If $x = a \cos^3 t$ and $y = a \sin^3 t$, then the value of $\frac{dy}{dx}$ at $t = \frac{\pi}{4}$ is:

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This is the parametric representation of an astroid. Differentiating gives the beautiful, simple result $\frac{dy}{dx} = -\tan t$.
Updated On: May 31, 2026
  • $-1$
  • $1$
  • $-\sqrt{3}$
  • $\frac{1}{\sqrt{3}}$
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The Correct Option is A

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