differentiation of (1/x²) with respect to x
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Answered by
1
Answer:
let
y
=
1
x
2
1
x
2
is the same as
x
−
2
⇒
d
y
d
x
=
−
2
⋅
x
−
2
−
1
=
−
2
x
−
3
⇒
d
y
d
x
=
−
2
x
−
3
To find the derivative of a ratio, apply the formula
D
f
(
x
)
g
(
x
)
=
f
'
(
x
)
g
(
x
)
−
f
(
x
)
g
'
(
x
)
g
2
(
x
)
In particular, if
f
(
x
)
=
1
, you have that
f
'
(
x
)
=
0
, and the expression becomes
D
1
g
(
x
)
=
−
g
'
(
x
)
g
2
(
x
)
Since your
g
(
x
)
is
x
2
, you easily get that
g
'
(
x
)
=
2
x
. So,
−
g
'
(
x
)
g
2
(
x
)
=
−
2
x
x
4
=
−
2
x
3
Answered by
0
Answer:
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