What is the Derivative of Square Root of x? (√x Derivative)

Hello, in this article we will tell you what is the derivative of root x. You can learn how to take derivatives step by step from our article. Now let's move on to sharing.

What is the derivative of square root of x?

To take the derivative of the square root of x, we first convert the square root of x to an exponent.

So we can transform $\sqrt{x}=x^{\frac{1}{2}}$

Now we can go solution step by step:

→ $(\sqrt{x})=x^{\frac{1}{2}}$

→ $(\sqrt{x})’=\frac{1}{2}.x^{\frac{1}{2}-1}$

→ $(\sqrt{x})’=\frac{1}{2}.x^{\frac{-1}{2}}$

→ $(\sqrt{x})’=\frac{1}{2.\sqrt{x}}$

$(\sqrt{x})$ derivative is $\frac{1}{2.\sqrt{x}}$