- (B) f ′(x) = 15x^4 − 30x^2 ; f ′′(x) = 60x^3 − 60x = 60x(x + 1)(x − 1); this equals 0 when x = −1, 0,
or 1. Here are the signs within the intervals:
The graph of f changes concavity at x = −1, 0, and 1.
dmanu
(dmanu)
#1
The graph of f changes concavity at x = −1, 0, and 1.