What is the derivative of y equals square root of x when x is positive?

Answer 1

y = x^(1/2) (NB power of '1/2' mean the 'square root'.

Hence

dy/dx = (1/2)x^(-1/2)

or

dy/dx = 1/ [2x^(1/2)]

Answer 2

y = square root of x

y = x(1/2)

y' = (1/2)x(1/2 - 1)

y' = (1/2)x(-1/2)

y' = (1/2)(square root of x)