\ \
The function is
. \ \
Apply derivative on each side with respect to
. \ \
\ \
Apply Derivative of the Natural Logarithmic Function
,
. \ \
\ \
. \ \
\ \
Find the equation of tangent line to the function at point
. \ \
The slope of the tangent line is
at
. \ \
slope is
. \ \
The point-slope form is
. \ \
Substitute
and
in point-slope form. \ \
\ \
. \ \
The equation of tangent line is
. \ \
The equation of tangent line is
. \ \