The point [math] lies on the curve [math]. If [math] is the point [math], find the slope of the secant line [math] for the following values of [math].
If [math], the slope of [math] is:
and if [math], the slope of [math] is:
and if [math], the slope of [math] is:
and if [math], the slope of [math] is:
Based on the above results, guess the slope of the tangent line to the curve at [math].