Let f be a differential function defined on the interval (-1,1). Which of the following statement(s) are true?(1) If f(0) = 0, then f has a local minimum or maximum at 0%3D(2) If f has a local maximum at 0, then f(0) = 0(3) If f is increasing on (-1,1) then f(x) 2 0 for all -1 < x < 1(4) If f(0) s f(x) for all -1 < x < 1, then f(0) = 0

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Let f be a differential function defined on the interval (-1,1). Which of the following statement(s) are true? (1) If f(0) = 0, then f has a local minimum or maximum at 0. (2) If f has a local maximum at 0, then f(0) = 0. (3) If f is increasing on (-1.1) then f(x) 2 0 for all -1 < x < 1 (4) If f(0) s f(x) for all -1 < x < 1, then f(0) = 0

Let f be a differential function defined on the interval (-1,1). Which of the following statement(s) are true? (1) If f(0) = 0, then f has a local minimum or maximum at 0. (2) If f has a local maximum at 0, then f(0) = 0. (3) If f is increasing on (-1.1) then f(x) 2 0 for all -1 < x < 1 (4) If f(0) s f(x) for all -1 < x < 1, then f(0) = 0

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Let f be a differential function defined on the interval (-1,1). Which of the following statement(s) are true?
(1) If f(0) = 0, then f has a local minimum or maximum at 0
%3D
(2) If f has a local maximum at 0, then f(0) = 0
(3) If f is increasing on (-1,1) then f(x) 2 0 for all -1 < x < 1
(4) If f(0) s f(x) for all -1 < x < 1, then f(0) = 0

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