The second derivative of with respect to at is

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

The second derivative of

a\sin^3t

with respect to

a\cos^3t

t=\frac{\pi}{4}

is (a)

\frac{4\sqrt{2}}{3a}

(b)

2

(c)

\frac{1}{12a}

(d) None of these