Section 4.3
#6 blue function=F; black function=f’
#8 parabola that opens upward
#10 f(x)=1 if x>2; f(x)=-1 if x<2
#12 a. x=3 and x=-3
b. inc. on (-infty, -3) and (3, infty); decreasing on (-3, 3)
c. relative min on (3, -16); rel max on (-3, 20)
d. second-order crtical point: x=0; conc up (0, infty); conc dn on (-infty, 0)
#16 a. x=1, -1
b. inc on (-infty, -10 and (1, infty); dec on (-1, 0) and (0,1)
c. crtical pts (-1, -2) (max) and (1, 2) (min)
d. no second-order crti pts; coc up for x>0 and conc dn for x<0
#18 a. x=e^-1
b. inc on (e^-1, infty); dec on (0, e^-1)
c. crti pt (e^-1, -e^-1) (rel min)
d. no second order crti pt; conc up on (0, infty)
#36 Critical numbers: -1, 1; rel max at -1; rel min at x=1
#38 Crt numbers: 1, 2; rel min at x=2
#40 rel min at x=1; rel max at -2
Section 4.4
# 48answers may vary