If x = a^3 , y = a ^3 , then d^2y/dx^2 equals. Option 1: ^5 /3a Option 2: 3a^5 / Option 3: ^5 /3a Option 4: 3a^5 /

The answer is '^5 /3a'. View full solution:

Calculus > Continuity & Differentiability

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If $x = a\sec^3 \theta$, $y = a \tan^3 \theta$, then $\frac{d^2y}{dx^2}$ equals.

$\frac{\cos^5 \theta}{3a\sin \theta}$

$\frac{3a\cos^5 \theta}{\sin \theta}$

$\frac{\sin^5 \theta}{3a\cos \theta}$

$\frac{3a\sin^5 \theta}{\cos \theta}$

✅ Correct Option: 1

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