The function is
.
The function has horizontal tangent line which has a zero slope.
\Slope of the tangent line is the derivative of the function.
\Equate derivative of the function to zero.
\
.
Apply derivative on each side with respect to
.

Quotient rule of derivatives :
.

.
.
Equate derivative function to zero.
\
Substitute
in the function.

Point of tangency is
.
Hence the point at which the function has horizontal tangent line is
.
The point at which the function has horizontal tangent line is
.