1)
y=
1
(x+a)m∗1
(x+b)n
y=(x+a)−m∗(x+b)−n
dy
dx =−m
(
x+a
)
−m−1
∗
(
x+b
)
−n+
(
x+a
)
−m∗−n(x+b)−n−1
dy
dx =−m
(
x+a
)
−
(
m+1
)
∗
(
x+b
)
−n−
(
x+a
)
−m∗n(x+b)−(n+1)
dy
dx =−m1
(x+a)m+1∗
(
x+b
)
−n−
(
x+a
)
−m∗n1
(x+b)n+1
dy
dx =−m
(
x+b
)
−n(x+b)n+1+n
(
x+a
)
−m(x+a)m+1
(x+a)m+1(x+b)n+1
dy
dx =−m(x+b)1+n
(
x+a
)
1
(x+a)m+1(x+b)n+1
dy
dx =−m(x+b)+ n(x+a)
(x+a)m+1(x+b)n+1
2)
y=x
√
a2−x2
dy
dx =
√
a2−x2−x1
2
(
a2−x2
)
−1
2∗(−2x)
(
√
a2−x2)2
dy
dx =
√
a2−x2+x2
√
a2−x2
a2−x2
dy
dx =
(
√
a2−x2)2+x2
√
a2−x2
a2−x2
dy
dx =
a2−x2+x2
√
a2−x2
a2−x2
