How to differentiate y=x/square root x?

1 Answer
Jun 18, 2018

dy/dx =1/(2sqrtx)

Explanation:

y = x/sqrtx

= x xx x^(-1/2) = x^(1/2)

Apply power rule

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

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

= 1/(2sqrtx)