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undrcvrbro

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## Homework Statement

Explain how you can locate the local maxima and minima for the graph of y=f '(x) by examining the graph of y=f(x).

## Homework Equations

## The Attempt at a Solution

In the back of the book the answer reads:

*If there is an inflection point on the graph of y=f(x) at x=c, then f(x) must change concavity at x=c. Consequently, f '(x) must change from increasing to decreasing or from decreasing to increasing at x=c, and x=c is a local extremum for f '(x).*If there is an inflection point on the graph of y=f(x) at x=c, then f(x) must change concavity at x=c. Consequently, f '(x) must change from increasing to decreasing or from decreasing to increasing at x=c, and x=c is a local extremum for f '(x).

I must be missing something. Don't you need to know the second derivative in order to know where the inflection points actually are?