CFS 1334 – Mathematics II (Tutorial 2)
1. Find
f'(x)
a.
f
(
x
)
=x−3+1
x7
b.
f
(
x
)
=
√
x+1
x
c.
f
(
x
)
=
(
3x2+6
)
(
2x−1
4
)
d.
f
(
x
)
=
(
2−x−3x3
) (
7+x5
)
e.
f
(
x
)
=
(
x3+7x2−8
)(
2x−3+x−4
)
f.
f
(
x
)
=
(
1
x+1
x2
)
(3x3+27)
g.
f
(
x
)
=(3x2+1)2
2. Find
y'(1)
a.
y=1
5x−3
b.
y=3
2+
√
x
3. Find
dx
dt
a.
x=3t
2t+1
b.
x=t2+1
3t
4. Find
dy2
dx2
a.
y=7x3−5x2+x
b.
12 x2−2x+3
c.
y=x+1
x
d.
y=(5x¿ ¿ 2−3)(7x3+x)¿
5. Find
y' '' (x)
a.
y=x−5−x5
b.
y=1/x
