INCREASING and DECREASING FUNCTIONS ENG 203: DIFFE| EXERCISE Find all intervals for which y is increasing and decreasing. ANSWERS 1. y = x* -x? inc: x < 0 or x > 1 dec: 0 < x < 1 2. y = x3 – 3x² + 3x inc: (-0, 0) 3. у %3D 2х3 — 3x2 — 36х + 14 inc: x < -2 or x > 3 dec: -2 < x < 3 CACLUITY o ENCINIECDI NG LIA VEDCITY

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
Question

Optimization

need the critical number

INCREASING and DECREASING FUNCTIONS
ENG 203: DIFFERENTIAL CALCULUS
EXERCISE
Find all intervals for which y is increasing and decreasing.
ANSWERS
1. y = x³ -x²
3
inc: x < 0 or x > 1
dec: 0 < x < 1
2. y = x³ – 3x2 + 3x
inc: (-0, 00)
3. y = 2x3 – 3x² – 36x + 14
inc: x < -2 or x > 3
dec: -2 < x < 3
FACULTY OF ENGINEERING, UNIVERSITY OF SANTO TOMAS
Transcribed Image Text:INCREASING and DECREASING FUNCTIONS ENG 203: DIFFERENTIAL CALCULUS EXERCISE Find all intervals for which y is increasing and decreasing. ANSWERS 1. y = x³ -x² 3 inc: x < 0 or x > 1 dec: 0 < x < 1 2. y = x³ – 3x2 + 3x inc: (-0, 00) 3. y = 2x3 – 3x² – 36x + 14 inc: x < -2 or x > 3 dec: -2 < x < 3 FACULTY OF ENGINEERING, UNIVERSITY OF SANTO TOMAS
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