Consider the function f(x)x² - 4x +4In this problem, give all answers accurate to at least 3 decimal places.a. Find the domain of f(x). Enter your answer in interval notation. (-∞,—4) U (−4,∞)b. Find the first derivative. f'(x)(x² + 8x+4)(x+4)²c. List any critical values.d. Identify intervals of increase.e. Identify intervals of decrease.f. f(x) has a maximum of yg. f(x) has a minimum of yh. Find the second derivaitve. f'(x)i. Identify intervals where f(x) is concave up.j. Identify intervals where f(x) is concave down.k. List any inflection points. Enter answer as an ordered pair, or if there is no inflection point, type"DNE."when xwhen xOT-OT

Answered: Image /qna-images/answer/103b5fa4-a156-42c8-8a1c-15175402079e.jpg

Answered: c. List any critical values. d.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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c. List any critical values. d. Identify intervals of increase. e. Identify intervals of decrease.