Question
Asked Feb 13, 2020
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For the function, find all critical numbers and then use the second-derivative test to determine whether the function has a relative maximum or minimum at each critical number. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

f(x) = x4 − 4x3 + 4x2 + 1
 
Relative Maxima x=
Relative Minima  x=
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Expert Answer

Step 1

The given function is,

Calculus homework question answer, step 1, image 1

Step 2

Obtain the first derivative of the function.

Calculus homework question answer, step 2, image 1

Step 3

The critical values for the function is obtained as follows.

Calculus homework question answer, step 3, image 1

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Math

Calculus