Find $\frac{dy}{dx}$, if $x = at^2, y = 2at$.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $\frac{1}{t}$ ##
Given that $x = at^2, y = 2at$
So $\frac{dx}{dt} = 2at \quad \text{and} \quad \frac{dy}{dt} = 2a$
Therefore $\frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}} = \frac{2a}{2at} = \frac{1}{t}$