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.

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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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.
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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