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max, min, inflection pts

If f(x) = x^4 - 4x^3 + 10 find the relative extrema of the function and the
points of inflection of its graph. Also, sketch the graph of the function.

a. The x-value(s) of the relative minima of function f: ________________
b. The x-value(s) of the relative maxima of function f: _______________
c. The x-value(s) of point(s) of inflection of function f: _______________

Solution Preview

See attachment. I did this in mathematica and pasted it to word. If you want to try it in mathematica just cut and paste the code. Also, this web site might be helpful.

http://www.clas.ucsb.edu/staff/lee/Inflection%20Points.htm

If f(x) = x^4 - 4x^3 + 10 find the relative extrema of the function and the
points of inflection of its graph. Also, sketch the graph of the function.

a. The x-value(s) of the relative minima of function f: ______3__________
b. The x-value(s) of the ...

Solution Summary

This solution is comprised of a detailed explanation to find the relative extrema of the function and the
points of inflection of its graph and sketch the graph of the function.

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