The derivative of a polynomial function is given by

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The derivative of a polynomial function is given by f′(x)=(x−4)(x+1)(x−2)f'(x)=(x-4)(x+1)(x-2). Ignoring multiplicities, how many distinct stationary points does the original function f(x)f(x) have? (a) 44 (b) 33 (c) 22 (d) 11

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