CONTINUITY AND DIFFERENTIABILITY — MATHS STD 12 Science — Question
Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSCONTINUITY AND DIFFERENTIABILITY2 Marks
Question
Find $\frac{\text{dy}}{\text{dx}},$ when
$x = at^2$ and $y = 2at$
✓
Answer
We have $x = at^2$ and $y = 2 at$
$\Rightarrow\frac{\text{dx}}{\text{dx}}=2\text{at}$ 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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