Question:medium
If \( x = a \sin \theta \) and \( y = b \cos \theta \), then \( \frac{d^2y}{dx^2} \) is:
If \( x = a \sin \theta \) and \( y = b \cos \theta \), then \( \frac{d^2y}{dx^2} \) is:
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Use the chain rule for differentiating parametric equations to find higher derivatives.
Updated On: Mar 25, 2026
- \( \frac{a}{b^2} \sec^2 \theta \)
- \( \frac{-b}{a^2} \sec^3 \theta \)
- \( \frac{-a}{b^2} \sec^3 \theta \)
- \( \frac{b}{a^2} \sec^3 \theta \)
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The Correct Option is B
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