1.

a
(3, 9) maximum point.
b
(- 4, -16) minimum point
c
(0, 0) point of inflection
d
(1, 0) point of inflection
e
(2, -16) local minimum, (-2, 16) local maximum
f
(3, 54) local maximum, (-3, -54) local minimum
g
(0, 3) maximum point
h
(3, 7) local minimum, (-3, -5) local maximum
i
(0, 4.5) local minimum
j
(0, 3) maximum point
k
(2, 144) maximum, (4, 128) local minimum, (6, 144) maximum
l
(3, 0) minimum point
m
(-2, 0) point of inflection
n
(0, 0) minimum point, (3, 27) point of inflection
o
(2, 32) local maximum, (6, 0) local minimum

2.

a
(4, 16) maximum point.
b
(- 2.5, -6.25) minimum point
c
(-7, 539) local maximum, (5, -325) local minimum
d
(4, 128) local maximum, (-4, -128) local minimum
e
(3, -53) local minimum, (-3, 55) local maximum
f
(0, 0) local minimum, (8, 256) local maximum
g
(2, 16) local maximum, (-2, -16) local minimum
h
(0, 0) local minimum, (2, 8) local maximum
i
(-1, 0) point of inflection
j
(0, 0) minimum point
k
(0, 0) point of inflection, (1.5, -1.6875) local minimum
l
None
m
None
n
(0, 0) point of inflection, (1.55, 5.93) local maximum, (-1.55, -5.93) local minimum
o
(-3, -9) minimum, (1, -9) minimum, (-1, 7) local maximum