The function is
and the point is
.
The slope of the tangent line is equal to the derivative of the given function at
.
Rewrite the function as :
\
Take natural logarithm on both sides.
\
Apply power rule of natural logarithm :
.

Differentiate the above equation with respect to
.


Apply product rule of derivatives:
.

Slope at the point
:
Substitute the point
in
.

Slope,
.
Point-slope form of a line equation
.
Substitute the point
and
in the above equation.

Therefore, the tangent line equation is
.
The tangent line equation is
.