Second Derivative of a Parametric Curve

Question

A curve is defined by the parametric equations $$x = \sin(2t)$$ and $$y = \cos(3t)$$. Which of the following is an expression for $$\frac{d^2y}{dx^2}$$ in terms of $$t$$?

Accepted Answer

$$-\frac{9\cos(3t)\cos(2t)+6\sin(3t)\sin(2t)}{4\cos^3(2t)}$$

Answer

$$-\frac{9\cos(3t)}{4\sin^2(2t)}$$

Answer

$$-\frac{9\sin(3t)}{4\cos(2t)\sin(2t)}$$

Answer

$$\frac{9\cos(3t)}{4\cos^2(2t)}$$

Second Derivative of a Parametric Curve

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