Question

How do you differentiate `y=sqrtx+1+1/sqrtx`?

Answer 1

`y=sqrtx+1+1/sqrtx`
`y=x^(1/2)+1+x^(-1/2)`

`(dy)/(dx)=(1/2)x^(-1/2)-(1/2)x^(-3/2)`
`(dy)/(dx)=[(1)/(2sqrtx)]-[(1)/(2(sqrtx)^3)]`
`(dy)/(dx)=(1/(2sqrtx))(1-1/x)`