(0.73)^1/3 using differentials
Answers
Answered by
0
Explanation:
This can be solved with the formula of Taylor:
f
(
a
+
x
)
=
f
(
a
)
+
x
f
'
(
a
)
+
(
x
2
2
)
f
'
'
(
a
)
...
.
If
f
(
a
)
=
a
1
3
We will have:
f
'
(
a
)
=
(
1
3
)
a
−
2
3
now if
a
=
0.008
then
f
(
a
)
=
0.2
and
f
'
(
a
)
=
(
1
3
)
0.008
−
2
3
=
25
3
So if
x
=
0.001
then
f
(
0.009
)
=
f
(
0.008
+
0.001
)
≈
f
(
0.008
)
+
0.001
×
f
'
(
0.008
)
=
=
0.2
+
0.001
⋅
25
3
=
0.2083
Similar questions