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Roots, change, maximum and minimum

Find the maximum and minimum values attained by the function on the interval [0, 2].


The equation has three distinct real roots. Approximate
their locations by evaluating f at -2, -1, 0, 1, and 2. Then use Newton's
method to approximate each of the three roots to four-place accuracy

f(x)= x^3- 3x+ 1

Sand falling from a hopper at forms a conical sand pile whose radius is always equal to its height. How fast is the radius increasing when the radius is 5ft?

Find the open intervals on the x-axis on which the function is increasing and those on which it is decreasing.


Solution Summary

This shows how to work with functions and roots, rate of change, and values.