# How do you find the derivative of #1/sqrt(x)#?

##### 1 Answer

Jun 5, 2016

This function can be written as a composition of two functions, therefore we use the chain rule.

#### Explanation:

Let

Simplifying further, we have that

The chain rule states

This means we have to differentiate both functions and multiply them. Let's start with

By the power rule

Now for

Once again by the power rule we get:

Hopefully this helps!