# How do you find the derivative of #(2sqrtx - 1)/(2sqrtx)#?

##### 2 Answers

#### Explanation:

We could use the quotient rule, stating that:

It is however easier to write the function as:

so that:

Break it into two fractions, the first becomes the derivative of a constant, and the second can be differentiated as a negative power.

#### Explanation:

Break into two fractions:

Simplify:

The derivative of a constant is zero and use the power rule on the second term: