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Continuity and Differentiability — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSContinuity and Differentiability1 Mark
Question
Find $\frac{d y}{d x}$, if $x = at^2 , y = 2at.$
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Answer

Given that $x = at^2 , y = 2at$
So $\frac{d x}{d t} = 2at$ and $\frac{d y}{d t} = 2a$
Therefore $\frac{d y}{d x}=\frac{\frac{d y}{d t}}{\frac{d x}{d t}}=\frac{2 a}{2 a t}=\frac{1}{t}$

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