Alright, so my approach will be to find the derivative of the function using logarithmic differentiation or . Next, I'll set this derivative equal to zero and solve to obtain the tangent lines, since a tangent line occurs when . Unfortunately, both attempts have been unsuccessful.The graph of has two horizontal tangent lines. Find the equations for both of them.

Logarithmic Differentiation

Solve For 0 To Find Horizontal Tangents Of Original Function

Evaluate Original Function At

(Substitute to get the other solution)

The answer is said to be:

and

Which confirms that the solution is correct.

Thanks a lot for the help!