Question

Derivative ?

Answer 1

y= (sqrt x) / x

The x on bottom confuses me. I know if it were just sqrt x it would be 1/2x^(-3/2)

Answer 2

Your function is a QUOTIENT. Apply the Quotient Rule to differentiate it.

Answer 3

\(y=\dfrac{\sqrt x}{ x} = \dfrac{1}{ \sqrt{x}}= x^{1/2}\)

Answer 4

\[\Huge y=\dfrac{\sqrt x}{ x} = \dfrac{1}{ \sqrt{x}}= x^{\color{red}{-}1/2}\]