# Find the derivative of the function below by simplifying ? F(x) =( x - 7x √x) ÷ √x

##### 1 Answer

Mar 24, 2017

#### Answer:

#### Explanation:

Splitting up the fraction gives two distinct terms:

#x/sqrtx=(sqrtxsqrtx)/sqrtx=sqrtx#

#(7xsqrtx)/sqrtx=7x#

So:

Which can be differentiated using the power rule:

Finding a common denominator: