Minimum of Normal Distribution Function

[Painguy]

Homework Statement

Show that there is no minimum for the normal distribution function e^(-(x-μ)^2/(2 σ^2))/(sqrt(2 π) σ)

Homework Equations

The Attempt at a Solution

I figured I'd take the derivative and set it equal to 0, but then what?

 

[DrClaude]

I figured I'd take the derivative and set it equal to 0, but then what?

What is the answer you got? And then, how do you tell the difference between a maximum and a minimum?