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Mathematics
Mathematics
Problem
Let
s
(
x
)
=
x
2
a
(
x
)
b
(
x
)
s(x)=x^{2}a(x)b(x)
s
(
x
)
=
x
2
a
(
x
)
b
(
x
)
, where
a
a
a
and
b
b
b
are differentiable functions. At
x
=
1
x=1
x
=
1
the following values are known:
a
(
1
)
=
2
a(1)=2
a
(
1
)
=
2
,
a
′
(
1
)
=
−
1
a'(1)=-1
a
′
(
1
)
=
−
1
,
b
(
1
)
=
3
b(1)=3
b
(
1
)
=
3
, and
s
′
(
1
)
=
20
s'(1)=20
s
′
(
1
)
=
20
. Determine
b
′
(
1
)
b'(1)
b
′
(
1
)
.
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