Point of inflection (If f'' changes sign at c (f continuous there), (c,f(c)) is a point of)

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If f'' changes sign at c (f continuous there), (c,f(c)) is a point of inflection

What each symbol means

SymbolWhat it stands for
cx-coordinate where concavity switches

When to use this

f continuous at c; f'' changes sign crossing c (f''(c) may be 0 or undefined).