Mathematics

Problem

For parametric equations

x=f(t)

and

y=g(t)

with

f'(t)\neq0

, which of the following expressions equals

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

? a)

\dfrac{g''(t)f'(t)-g'(t)f''(t)}{[f'(t)]^{2}}

\dfrac{g''(t)f'(t)-f''(t)g'(t)}{[g'(t)]^{3}}

\dfrac{f'(t)g''(t)-g'(t)f''(t)}{[f'(t)]^{3}}

\dfrac{f''(t)g'(t)-g''(t)f'(t)}{[f'(t)]^{3}}