Question

Find where slope of y=√x is 1?

Answer 1

differentiate the equation will give you
`y'=1/2x^(-1/2)`

note that `y'` is the slope

so substitute `y'=1`
`1/2x^(-1/2)=1`
`sqrtx=1/2`
`x=1/4`

find the y value by substituting the x value into the equation
`y=sqrt(1/4)`
`y=+-1/2`

therefore thepoint is at `(1/4,1/2)` and `(1/4,-1/2)`