Determine the number of local extrema of the function .

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

Problem

Determine the number of local extrema of the function

p(x)=x^{4}+4x^{3}+6x^{2}+4x+1

. (a) One local maximum and one local minimum (b) Exactly one local minimum (c) No local extremum (d) Exactly one local maximum