What is the second derivative of xsqrtx-1?

Answer 1

let y= xsqrt(x) -1

y= x^(3/2) -1 ---- since xsqrt(x) is the same as x^(3/2)

y' = (3/2) x^(3/2-1)

y' = (3/2) x^(1/2)

y'' = (3/2) (1/2) x^(1/2-1)

y'' =(3/2)(1/2) x^(-1/2)

y'' = 3/4x^(1/2)

y'' = 3 / 4sqrt(x)