Question

What is the minimum value of f(x)=xlnx?
I know you're supposed to find f'(x). I got f'(x)=1+lnx. Now you're supposed to set it equal to 0 right? I'm stuck there.

Answer 1

0=1+lnx
like so

Answer 2

so x=1/e ?

Answer 3

yes

Answer 4

Now what do I do?

Answer 5

plug it back into the function to find the function's value at that point

Answer 6

so the minimum value is -1/e ?

Answer 7

correct :)

Answer 8

Yay! Thanks!