APFIVE Second Derivative of a Parametric Curve
For the parametric curve given by $$x = \sin(2t)$$ and $$y = \cos(3t)$$, which of the following expressions represents $$\frac{d^2y}{dx^2}$$ at general $$t$$?
A
$$\frac{9\cos(3t)}{4\cos^2(2t)}$$
B
$$-\frac{9\sin(3t)}{4\cos(2t)\sin(2t)}$$
C
$$-\frac{9\cos(3t)}{4\sin^2(2t)}$$
D
$$-\frac{9\cos(3t)\cos(2t)+6\sin(3t)\sin(2t)}{4\cos^3(2t)}$$
Question Leaderboard
Not enough data yet to show leaderboard.