The rule of the derivative of a function f is given. Find the location of all local extrema.f'(x) = (x + 4)(x + 1)(x - 4)

A. Local maxima at -4 and 4; local minimum at -1
B. Local maximum at -1; local minima at -4 and 4
C. Local maxima at 4 and -4; local minimum at 1
D. Local maximum at 1; local minima at 4 and -4


Answer: B

Mathematics

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