Question

Question #1a041

Answer 1

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.