### Home > CALC > Chapter 5 > Lesson 5.2.1 > Problem 5-55

5-55.

The location of a local maximum on *f*(*x*) can be found where *f* '(*x*) = 0 AND changes from positive values to negative values.

A zero on the second derivative that crosses the *x*-axis (or changes sign) indicates a point of inflection on the original function.

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