Assignment:
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: _______________
Provide complete and step by step solution for the question and show calculations and use formulas.