If x = a sin θ and y = b cos θ, then d ^ 2 y dx ^ 2 is equal to
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If x = a sin θ and y = b cos θ, then \(\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}\) is equal to
- \(\frac{\mathrm{a}}{\mathrm{~b}^{2}} \sec ^{2} \theta\)
- \(-\frac{\mathrm{b}}{\mathrm{a}} \sec ^{2} \theta\)
- \(\frac{\mathrm{b}}{\mathrm{a}^{2}} \sec ^{3} \theta\)
- \(-\frac{\mathrm{b}}{\mathrm{a}^{2}} \sec ^{3} \theta\)
Answer
(D) - b a ^ 2 ^ 3
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