Question #31447

1 Answer
Feb 1, 2018

#-2/x^3#

Explanation:

First, write #1/x^2# as #x^-2#, then use the exponential rule to solve #d/dx(1+x^-2)#. The derivative of a constant always equals zero, and for #x^-2#, pull the #-2# out front and subtract one from the exponent, arriving at #-2# multiplied by #x^-3#, which equals #-2/x^3#. Hope this helps.