Computing derivatives. Differentiation rules

Linearity, product, quotient, composition

Everywhere $u,v$ are differentiable at the point

Rule	Formula
$(u\pm v)'$	$u'\pm v'$
$(Cu)'$ , $C$ constant	$Cu'$
$(uv)'$	$u'v+uv'$
$\left(\dfrac{u}{v}\right)'$ , $v\neq0$	$\dfrac{u'v-uv'}{v^2}$
$(f\circ g)'=(f(g(x)))'$	$f'(g(x))\cdot g'(x)$

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