# How do you differentiate #x^2 + 8x + 3 / sqrtx# using the quotient rule?

##### 1 Answer

May 17, 2016

#### Explanation:

The quotient rule is not required here as we have a sum of terms which can be differentiated using the

#color(blue)" power rule"#

#d/dx(ax^n)=nax^(n-1)# Before applying this rule we need to rewrite the term

#3/sqrtx#

#rArr3/sqrtx=3/x^(1/2)=3x^(-1/2)# We now have:

#x^2+8x+3x^(-1/2)#

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