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Problems in Mathematical Analysis.pdf - pwp.net.ipl.pt

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Cha<strong>pt</strong>er III<br />

THE EXTREMA OF A FUNCTION AND THE GEOMETRIC<br />

APPLICATIONS OF A DERIVATIVE<br />

Sec. 1. The Extrema of a Function of One Argument<br />

1. Increase and decrease of tunctions. Tlu Junction y f(x) is called<br />

<strong>in</strong>creas<strong>in</strong>g (decreas<strong>in</strong>g) on some <strong>in</strong>terval if, fo. any po<strong>in</strong>ts x l and x 2 which<br />

belong to this <strong>in</strong>terval, from the <strong>in</strong>equality A',

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