Answer:
[tex]\frac{1}{2x}[/tex]
Step-by-step explanation:
chain rule is used to find a derivativeof a function if the function is a composition of two functions.
The derivative can be found f'(x)= z'(g(x))g'(x) when f(x)=z(g(x)) as
here z(x)=ln(x) and g(x) = x^1/2
If we apply chain rule to y=In (x)^1/2
y'=ln(u)' × ((x)^1/2)' where u=x^1/2
=[tex]\frac{1}{x^{1/2} }[/tex] × [tex]\frac{1}{2x^{1/2}}[/tex]
=[tex]\frac{1}{2x}[/tex]
