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DIFFERENTIATION USING THE QUOTIENT RULE

Subject

Mathematics

Type

Homework

Rating

Showing Page:
1/1
( )
2
Consider
3
x
f x
x
=
+
Differentiating with respect to
x
DIFFERENTIATION USING THE QUOTIENT RULE
( )
( )
( ) ( ) ( ) ( )
( )
2
f x g x f x f x g x
D
g x
g x
=
( )
( )
( )
( )
( )
2 2
2
2
3 3
3
d d
x x x x
dx dx
f x
x
+ +
=
+
( )
( ) ( )
( )
2
2
2
3 1 2 0
3
x x x
x
+ +
=
+
Since
( )
1
, constant 0
n n
d d
x nx
dx dx
= =
( )
( )
2 2
2
2
2
2
2
3 2
3
3
3
x x
x
x
x
+
=
+
=
+
Therefore,
( )
( )
2
2
2
2
3
3
3
d x x
f x
dx x
x
= =
+
+

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