Mathematics

Problem

For the parametric curve defined by

x=t^{2}

and

y=\sin t

, which of the following notations correctly denotes the second derivative of

y

with respect to

x

? a)

\dfrac{d^{2}y}{dt^{2}}

\dfrac{d}{dt}\left(\dfrac{dy}{dx}\right)

\dfrac{d^{2}y}{dx^{2}}

\dfrac{d}{dx}\left(\dfrac{dy}{dt}\right)