# What is the derivative of #5 + 6/x + 3/x^2#?

##### 1 Answer

May 8, 2016

#### Explanation:

I find it easiest to think in terms of the exponent form and use the power rule:

#d/(dx) x^n = n x^(n-1)#

as follows:

#d/(dx) (5+6/x+3/x^2)#

#=d/(dx) (5+6x^(-1)+3x^(-2))#

#=0+6((-1)x^(-2))+3((-2)x^(-3))#

#=-6x^(-2)-6x^(-3)#

#=-6/x^2-6/x^3#