If f(x) = x⁵ - 5x⁴ + 5x³ - 1, then the number of local extrema is:

Type: MCQ • Marks: 1

A. 2

B. 4

C. 5

D. 3

Explanation

f'(x) = 5x⁴ - 20x³ + 15x² = 5x²(x² - 4x + 3) = 5x²(x - 1)(x - 3) = 0 => x = 0, 1, 3. Checking sign changes gives 2 local extrema.

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