Continuity and Differentiability
RS Aggarwal
CBSE
Grade 12
Question:
If $x = a(\theta - \sin\theta)$ and $y = a(1 + \cos\theta)$, find $\dfrac{d^2 y}{dx^2}$ at $\theta = \dfrac{\pi}{2}$.
Step-by-Step Solution
Key Concept: dy/dx = -cot(\theta/2) => d^2y/dx^2 = -1 / (4a sin^4(\theta/2)). At \theta=\pi/2, value is -1/a.
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Correct Answer:
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