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Solve the following.
Find (dy)/(dx), if x = at² and y = 2at.
Find $\frac{dy}{dx}$, if $x = at^2$ and $y = 2at$.
Answer
Answer
$\frac{dx}{dt} = 2at$ and $\frac{dy}{dt} = 2a$.
$\frac{dy}{dx} = \frac{dy/dt}{dx/dt} = \frac{2a}{2at} = \frac{1}{t}$.
Final answer: $\frac{1}{t}$