# How do you differentiate #x^2/(sqrt(x+2))-sqrt(x+2)/x^2#?

##### 1 Answer

Aug 13, 2017

Please see below.

#### Explanation:

Let

Note that with

So

Use the quotient rule to find

# = (4x(x+2)-x^2)/(2(x+2)^(3/2))#

# = (3x^2+8x)/(2(x+2)^(3/2))#

So

# = (3x^2+8x)/(2(x+2)^(3/2))(1+(x+2)/x^4)#

Simplify further to taste.