Find the x -values corresponding to all critical points of the function f(x)=x5-a4x , where a is some positive constant. Enter your answer as a comma-separated list.
Find the x -values corresponding to all critical points of the function f(x)=x5-a4x , where a is some positive constant. Enter your answer as a comma-separated list.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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Transcribed Image Text:Find the x -values corresponding to all critical points of the function f(x)==x5-a4x, where a is some positive constant. Enter your answer as a comma-separated list.
Expert Solution
Step 1
Critical points of a function are the points where the derivative of the function is zero.
f(x) = 1/5 x5 - a4x
Put f'(x) = 0
5/5 x4 - a4 = 0
x4 - a4 = 0
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