# Differentiate #(sqrt(x) + 1 )^2/ x# with respect to #X.#?

##
Differentiate #(sqrt(x) + 1 )^2/ x# with respect to #X.#

Differentiate

##### 1 Answer

Apr 27, 2018

#### Explanation:

We can avoid use of the Quotient Rule and Chain rule rather easily in this problem, it avoids a lot of unnecessary work:

Expand

We now have

Rewrite with negative exponents:

Differentiate, noting how we now only need to apply the Power Rule and the fact that the derivative of a constant is zero: