The function is
and tangent passes the point is
.
Let
be the point at which tangent line intersects the curve.
Substitute
in the function.
.
Point of tangency is
.

Apply derivative on each side with respect to
.

Quotient rule of derivatives :
.

.
Slope of the tangent line is derivative of the function at
.
Substitute
in the derivative function.
.
Slope of the tangent line to the curve at the point
is
.
Slope of a tangent line :
.
Slope of a tangent line with points
and
is

.
Slope of the tangent line to the curve is
.
Substitute
in the slope of the tangent line.


and 
and
.
Substitute
in the function.

Point of tangency is
.
Substitute
in the function.

Point of tangency is
.
Find the tangent line.
\Point-slope form of line equation :
, where slope
.
Find the tangent line equation passing through the points
and
.

Tangent line equation is
.
Find the tangent line equation passing through the points
and
.

Tangent line equation is
.
Graph :
\Graph the function and the two tangent lines.
\.gif\")
Tangent line equations is
and
.