Линейность, произведение, частное, композиция
Везде u,vu,v дифференцируемы в точке
ПравилоФормула
(u±v)′(u\pm v)'u′±v′u'\pm v'
(Cu)′(Cu)', CC — константаCu′Cu'
(uv)′(uv)'u′v+uv′u'v+uv'
(uv)′\left(\dfrac{u}{v}\right)', v≠0v\neq0u′v−uv′v2\dfrac{u'v-uv'}{v^2}
(f∘g)′=(f(g(x)))′(f\circ g)'=(f(g(x)))'f′(g(x))⋅g′(x)f'(g(x))\cdot g'(x)
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