Funkcja	Pochodna	Uwagi
y = c	y' = 0
y = c^.u	y'= (c^.u)' = c^.u'
y = u + v	y' = (u + v)' = u' + v'
y = u^.v	y' = (u^.v)' = u'^.v + u^.v'
y =  u v	y' =  u' ^. v - u ^. v' v^2
y = x ^c	y' = c ^. x ^c-1
y = c ^x	y' = c ^x ^. ln c
y = logax	y' =  1 ^. 1 x ln a	(ln x)' =  1 x
y = sin x	y' = cos x
y = cos x	y' = -sin x
y = tg x	y' =  1 cos^2x
y = ctg x	y' = -  1 sin^2x
y = arc sin x	y' =  1 (1 - x^2)^1/2
y = arc cos x	y' = -  1 (1 - x^2)^1/2
y = arc tg x	y' =  1 1 + x^2
y = arc ctg x	y' = -  1 1 + x^2
y = f(u) y = (sin x)^5      y' = 5 (sin x)^4^.cos x y = sin (x^5)      y' = cos (x^5) ^.5x^4	y' = f'(u)^.u' =