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 logarothm 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 .