Find dy dx , when x = at^2 and y = 2 at - Vidyadip

Question

Find $\frac{\text{dy}}{\text{dx}},$ when
$x = at^2$ and $y = 2$ at

✓

Answer

We have $x = at^2$ and $y = 2$ at
$\Rightarrow\frac{\text{dx}}{\text{dx}}=2\text{at}\text{ and }\frac{\text{dy}}{\text{dx}}=2\text{a}$
$\therefore\frac{\text{dy}}{\text{dx}}=\frac{\frac{\text{dy}}{\text{dt}}}{\frac{\text{dx}}{\text{dt}}}=\frac{2\text{a}}{2\text{at}}=\frac{1}{\text{t}}$

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