For , which of the following statements about its relative extrema is…
MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
For p(x)=x4−8x2+7, which of the following statements about its relative extrema is true?
(a) p has relative maxima of equal value at x=−2 and x=2, and a relative minimum at x=0.
(b) p has relative minima of equal value at x=−2 and x=2, and a relative maximum at x=0.
(c) p has relative minima at x=−2 and x=2 but no relative maximum, because the derivative does not change sign at x=0.
(d) p has relative minima of equal value at x=−2 and x=0, and a relative maximum at x=2.