The point [math] lies on the curve [math]. Let [math] be the point [math].

a.) Find the slope of the secant line [math] for the following values of [math]. (Answers here should be correct to at least 6 places after the decimal point.)

If [math], the slope of [math] is:
If [math], the slope of [math] is:
If [math], the slope of [math] is:
If [math], the slope of [math] is:

b.) Based on the above results, estimate the slope of the tangent line to the curve at [math].

Answer:

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