যদি \( x=f\left(t\right) \) এবং \( y=g(t) \) হয় তবে, \( \frac{d^2y}{dx^2}=\ ? \)

A \( \frac{\left(\frac{d^2y}{dt^2}.\ \frac{dx}{dt}-\frac{d^2x}{dt^2}.\ \frac{dy}{dt}\right) }{\left(\frac{dx}{dt}\right)^3} \)

B \( \frac{\frac{d^2x}{dt^2}}{ \frac{d^2y}{dt^2}} \)

C \( \frac{\frac{d^2y}{dt^2}}{\frac{d^2x}{dt^2}} \)

D \( \frac{\left(\frac{d^2x}{dt^2}.\ \frac{dy}{dt}-\frac{d^2y}{dt^2}-\frac{dx}{dt}\right)}{ \left(\frac{dy}{dt}\right)^3} \)

Correct Answer: Option A