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Derivatives
I
[
]
[
]
[
]
D
c
D
cu x
cD
u x
cu
x
x
x
x
=
=
=
′
0
( )
( )
( )
, where
c
is a real constant.
[
]
[
]
[
]
D
u x
v x
D
u x
D
v x
u
x
v
x
x
x
x
( )
( )
( )
( )
( )
( )
+
=
+
=
′
+
′
[
]
[
]
[
]
D
u x
v x
u x D
v x
v x D
u x
u x v
x
v x u
x
x
x
x
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
⋅
=
+
=
′
+
′
[
]
[
]
[
]
[
]
D
u x
v x
v x D
u x
u x D
v x
v x
v x u
x
u x v
x
v x
x
x
x
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
=

=
′

′
2
2
(
29
(
29
(
29
f
g
x
f
g x
g
x
′
=
′
⋅
′
( )
( )
[
]
[
]
[
]
D
u x
n u x
u
x
x
n
n
( )
( )
( )
=
⋅
′

1
[
]
D
u x
u x
u x
u
x
x
( )
( )
( )
( )
=
⋅
′
D x
D y
y
x
=
1
(
29
[
]
(
29
D
u x
u x
u
x
x
sin
( )
cos
( )
( )
=
⋅
′
(
29
[
]
(
29
D
u x
u x
u
x
x
cos
( )
sin
( )
( )
= 
⋅
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Unformatted text preview: ′ ( 29 [ ] ( 29 D u x u x u x x tan ( ) sec ( ) ( ) = ⋅ ′ 2 ( 29 [ ] ( 29 D u x u x u x x cot ( ) csc ( ) ( ) = ⋅ ′ 2 ( 29 [ ] ( 29 ( 29 D u x u x u x u x x sec ( ) sec ( ) tan ( ) ( ) = ⋅ ′ ( 29 [ ] ( 29 ( 29 D u x u x u x u x x csc ( ) csc ( ) cot ( ) ( ) = ⋅ ′ deriv_1.doc...
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This note was uploaded on 03/09/2008 for the course CALC 1,2,3 taught by Professor Varies during the Spring '08 term at Lehigh University .
 Spring '08
 varies
 Calculus, Derivative

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