The function is
.
Apply derivative on each side with respect to
.

Apply quotient rule of differentiation:
.
In this case
and
.




.
The slope of the tangent is
.
To find horizontal tangent by equating slope of the tangent is zero.
\


.
Horizontal tangent at
.
Find the points at which the function has a horizontal tangents.
\Horizontal tangent at
.
Substitute
in
.


.
The point is
.
Horizontal tangent at the point
.
Horizontal tangent at the point
.