infpts (Program)
Command last updated 23/11/2022.
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IMPORTANT - requires printpts stored in the same folder as your current folder or in the “library” folder (see the Variable Manager).
infpts(f, l, u)
- f is an expression in terms of x
- l is the lower boundary of x (l should not be in terms of unknown variables, and should be -∞ if f contains other unknown variables besides x)
- u is the upper boundary of x (u should not be in terms of unknown variables, and should be ∞ if f contains other unknown variables besides x)
Returns a list of coordinates of points on f in the domain xϵ[l, u] where the second derivative equals 0.
Each point must be verified to determine whether it is really a point of inflection.
Example
Find the coordinates of any points of inflection of the graph of \(\dfrac{x}{1+x^{3}}\). (2017 Specialist Exam 2 Section B Question 1aiii)
