Question

Find the differentiation y=root x​

Answer 1

Y= 1/(2 square root of x)

Answer 2

Answer:

$\frac{dy}{dx}$ = $\frac{1}{2\sqrt{x} }$

Step-by-step explanation:

Differentiate using the power rule

$\frac{d}{dx}$(a$x^{n}$) = na$x^{n-1}$

Given

y = $\sqrt{x}$ = $x^{\frac{1}{2} }$, then

$\frac{dy}{dx}$ = $\frac{1}{2}$$x^{-\frac{1}{2} }$ = $\frac{1}{2\sqrt{x} }$