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CalculusQ&A LibraryFor 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=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) = x^{4} − 4x^{3} + 4x^{2} + 1

Relative Maxima x=

Relative Minima x=

Step 1

The given function is,

Step 2

Obtain the first derivative of the function.

Step 3

The critical values for the function is obtained as follows.

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