Question #1a041

1 Answer
Jun 27, 2017

There isn't one.

Explanation:

First, simplify expression
#4lnx-lnx-0.0001=3lnx-0.0001#

Then, differentiate expression with respect to #x#
#d/dx(3lnx-0.0001)=3/x#

To find the minimum or maximum value, it is when the first derivative equals 0, i.e.
#d/dx(3lnx-0.0001)-=3/x=0#

Because there is no #x# value that satisfies the above equation, there are no maximum or minimum values for #3lnx-0.0001#. This means that as #x->oo#, it will keep increasing.