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

1.	If`y=sqrt(x^2+a^2)` ,prove that `y(dy)/(dx)-x=0`
Answer» `y=sqrtx` `=dy/dx` `=1/(2sqrtx)` `dy/dx=(1xx2x)/(2(sqrtx^2+a^2)` `dy/dx=x/(sqrt(x^2+a^2))` `y=sqrt(a^2+x^2)` `(dy/dx)y-x=0` `=x/sqrt(x^2+a^2)sqrt(a^2+x^2)-x` `=0=RHS`

Discussion

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