The function is .
Let the point of tangency be .
Slope of the tangent line : .
Slope of the tangent line is .
The two points on the tangent line are and
.
Slope of a tangent line with points and
:
.
Slope of the tangent line is .
Equate the two slope of the tangent line.
\ or
.
If then
.
Point of tangency is .
If then slope of the tangent line is
.
Point - slope form of line equation : .
Substitute and point
in point slope form.
Equation of tangent line is .
If then
.
Point of tangency is .
If then slope of the tangent line is
.
Point - slope form of line equation : .
Substitute and point
in point slope form.
Equation of tangent line is .
Equation of tangent lines are and
.