Problem 55410. Easy Sequences 70: Inflection Points of Binomial Product Function
Inflection points are points along the graph curve of a function, where the curvature of the curve changes from concave to convex, or vice versa. Consider the following the following binomial product function:
where the coefficient
are given by the vector,
. Write a function that outputs an array of the x-coordinates all of the inflections of
.
For example, if
:
The plot of the function shows 2 inflection points:
Therefore, the function output in this case should be:
. Please present the output rounded to 4 decimal places and sorted ascending.
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NOTE: As an added challenge, some MATLAB built-in functions are disabled.
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