Continuity and Differentiability
RS Aggarwal
CBSE
Grade 12
Question:
If $x = a(\cos t + t \sin t)$ and $y = a(\sin t - t \cos t)$, find $\dfrac{d^2 y}{dx^2}$.
Step-by-Step Solution
Key Concept: dy/dx = tan t => d^2y/dx^2 = sec^3 t / (a t).
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Correct Answer:
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