Precalc0110to0111-page26

Precalc0110to0111-page26 - (Section 1.11 Limits and...

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(Section 1.11: Limits and Derivatives in Calculus) 1.11.15 • Find x -coordinates of points where the tangent lines slope upward ; their slopes are positive . Solve: ± Px () > 0 ² 2 x + 200 > 0 ² 2 x > ² 200 x < 100 Therefore, P is increasing on the x -interval 0,100 . In fact, we can say that P is increasing on 0, 100 ± ² ³ ´ by a continuity argument. (See Section 1.2, Part H on when a function increases on an interval.) • Find
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