\
\
The curve is
. \ \
\
a)
\Determine slope of the tangent line through the points
and
.
Slope of a secant line having points
and
:
.
Substitute
and
in above formula.
.
Slope of the secant line is
.
\
\
b)
\\
The tangent line to the curve
at the point
is the line through point P with slope
provided that the limit exists.
\
The curve is
and point
.
Slope of the tangent line is
.
\
\
a) Slope of the secant line is
.
b) Slope of the tangent line is
.