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Utilizator
:
Andreibanc/SandBox3
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<
Utilizator:Andreibanc
Funcţia
Derivata
Domeniul de
derivabilitate
Funcţia compusă
Derivata funcţiei
compuse
c
(
c
o
n
s
t
a
n
t
a
ˇ
)
{\displaystyle c\;(constant{\check {a}})\!}
0
{\displaystyle 0\!}
R
{\displaystyle \mathbb {R} \!}
x
{\displaystyle x\!}
1
{\displaystyle 1\!}
R
{\displaystyle \mathbb {R} \!}
u
{\displaystyle u\!}
u
′
{\displaystyle u'\!}
x
n
(
n
∈
N
∗
)
{\displaystyle x^{n}\;(n\in \mathbb {N} ^{*})\!}
n
x
n
−
1
{\displaystyle nx^{n-1}\!}
R
{\displaystyle \mathbb {R} \!}
u
n
(
n
∈
N
∗
)
{\displaystyle u^{n}\;(n\in \mathbb {N} ^{*})\!}
n
⋅
u
n
−
1
u
′
{\displaystyle n\cdot u^{n-1}u'\!}
x
α
(
α
∈
R
)
{\displaystyle x^{\alpha }\;(\alpha \in \mathbb {R} )\!}
α
x
α
−
1
{\displaystyle \alpha x^{\alpha -1}\!}
D
f
′
⊇
(
0
,
∞
)
{\displaystyle D_{f'}\supseteq (0,\infty )\!}
u
α
(
α
∈
R
,
u
>
0
)
{\displaystyle u^{\alpha }\;(\alpha \in \mathbb {R} ,\;u>0)\!}
α
⋅
u
α
−
1
⋅
u
′
{\displaystyle \alpha \cdot u^{\alpha -1}\cdot u'\!}
