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.