Question

Use the definition of the derivative to show that if f(x)= square root of x, then f(x)= 1/2(square-root x)

Answer 1

makes no sense

how can √x = (1/2)√x
only if x = 0

What does this have to do with a derivative?

Answer 2

its supposed to be f(x)= √x, then f '(x) = 1/2√x

Answer 3

if f(x) = √x = x^(1/2) , then

f ' (x) = (1/2)x^(-1/2)
= (1/2)(1/√x) , not what you typed.