Answer:
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{2\sqrt{x} }[/tex]
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex](a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]
Given
y = [tex]\sqrt{x}[/tex] = [tex]x^{\frac{1}{2} }[/tex], then
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{2}[/tex][tex]x^{-\frac{1}{2} }[/tex] = [tex]\frac{1}{2\sqrt{x} }[/tex]
