 Hi and how are you all today? The question says if y is equal to under root x plus 1 upon root x, show that 2x dy by dx plus y is equal to 2 root x. So here let us rewrite the given equation once again. We have y is equal to root x plus 1 upon root x. Now differentiating, let this be the first equation, differentiating first equation with respect to x we get dy by dx is equal to 1 upon 2 root x minus 1 upon 2 under root x cube. Now on multiplying both sides by 2x we get dy by dx 2x upon 2 root x minus 2x upon root x. On simplifying we have as 2x dy by dx equal to root x minus 1 upon root x. Now on adding y on both the sides we have 2x dy by dx plus y equal to under root x minus 1 upon root x. And now in place of y we can write this on the right hand side. We have plus root x plus 1 upon root on simplifying we have 2x dy by dx plus y equal to root x plus root x that is 2 root x. So hence we have proved the given question. Hope you understood it well and enjoyed it too. Have a nice day ahead.