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Second Derivatives and Beyond

Second Derivatives and Beyond

Points of Inflection Examples

Example 1

Find all points of inflection for the function f (x) = x3.

Example 2

Find all inflection points for the function f (x) = x4.

Example 3

Suppose we started with a function f, took a couple of derivatives, and found that

"(x) = (x + 2)(x + 1).

What are the inflection points of ?