Find the values where the function has horizontal tangents

The video tutorial explains how to find horizontal asymptotes and tangents by rewriting a function and applying the chain rule to find its derivative. The process involves simplifying the derivative and solving for when it equals zero to identify horizontal tangents. The tutorial concludes with a brief mention of finding the vertex.

What is the first step taken to simplify the function involving the exponent?

Explain how to find the horizontal tangents of the function discussed.

Describe the process of solving for X when the derivative is set to zero.

What does the derivative equal when the horizontal tangent occurs?

What is the significance of the vertex in the context of the function discussed?