Question

Find the differentiation y=root x​

Answer 1

Y= 1/(2 square root of x)

Answer 2

`(dy)/(dx)` =
`(1)/(2√(x) )`

Explanation:

Differentiate using the power rule

`(d)/(dx)`(a
`x^(n)`) = na
`x^(n-1)`

Given

y =
`√(x)` =
`x^{(1)/(2) }`, then

`(dy)/(dx)` =
`(1)/(2)`
`x^{-(1)/(2) }` =
`(1)/(2√(x) )`