Let f (x) = x 5 5 - x 4 + x 3 + 2x 2 - 4x + 1. 1. Find f 0 (x) and factor it into linear factors. 2. Find the critical numbers of f (x) on the open interval (0, 3). 3. Find the local extrema of f (x) on the open interval (0, 3). 4. Find the absolute maximum and absolute minimum values of f (x) on the closed interval [0, 3].

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31 March, 00:31

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Answers (1)

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Kate Schwartz · Answer 1

F (0) = 1

critical values are

df (x) / dx=0

5x^4-4x^3+3X^2+4x-4=0

Solve this equation

The critical values are 2.5 and 0.294