Utilizator:Andreibanc/SandBox3

Funcţia	Derivata	Domeniul de derivabilitate	Funcţia compusă	Derivata funcţiei compuse
$c\;(constant{\check {a}})\!$	$0\!$	$\mathbb {R} \!$
$x\!$	$1\!$	$\mathbb {R} \!$	$u\!$	$u'\!$
$x^{n}\;(n\in \mathbb {N} ^{*})\!$	$nx^{n-1}\!$	$\mathbb {R} \!$	$u^{n}\;(n\in \mathbb {N} ^{*})\!$	$n\cdot u^{n-1}u'\!$
$x^{\alpha }\;(\alpha \in \mathbb {R} )\!$	$\alpha x^{\alpha -1}\!$	$D_{f'}\supseteq (0,\infty )\!$	$u^{\alpha }\;(\alpha \in \mathbb {R} ,\;u>0)\!$	$\alpha \cdot u^{\alpha -1}\cdot u'\!$