Answer:
[tex]\dfrac{dy}{dx}=\dfrac{1}{2y}[/tex]
Step-by-step explanation:
Given equation:
[tex]y^2=x[/tex]
Differentiate:
[tex]\implies y^2\:\dfrac{d}{dx}=x\:\dfrac{d}{dx}[/tex]
[tex]\implies 2y\:\dfrac{dy}{dx}=1[/tex]
[tex]\implies \dfrac{dy}{dx}=\dfrac{1}{2y}[/tex]
