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If y=sqrt(x^2+a^2),prove that y(dy)/(dx)...

If `y=sqrt(x^2+a^2)`,prove that `y(dy)/(dx)-x=0`

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We have, `y=sqrt9x^2+a^20`
Squaring both sides we get,
`y^2=x^2+a^2`
`Rightarrow 2 y (d y)/(d x)=d/(d x)(x^2+a^2)`
`Rightarrow 2 y (d y)/(d x)=(2 x)`
`Rightarrow 2 y (d y)/(d x)=2 x`
`Rightarrow y (d y)/(d x)=x`
`Rightarrow y (d y)/(d x)-x=0`
...
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