Wzór funkcji y=f(x)	Pochodna f '(x)	Uwagi
f (x) = c	(c) ` =	c R
f (x) = ax + b	(ax + b) ` =
f (x) = ax^2 + bx + c	(ax^2+bx+c)` =
f (x) = x^a	(x^a) ` =	a R \ {0,1}
f (x) = √x	(√x) ` =	x > 0
f (x) = a / x	(a / x) ` =	x ≠ 0
f (x) = ^n√x	(^n√x) `= n należy do N \{0,1}	x > 0
f (x) = sin x	(sin x) ` =
f (x) = cos x	(cos x) ` =
f (x) = tg x	(tg x) ` =	x≠π/2+kπ dla k C
f (x) = ctg x	(ctg x) ` =	x ≠ kπ dla k C
f (x) = a^x	(a^x) ` =	a > 0
f (x) = e^x	(e^x) ` =
f (x) = ln x	(ln x) ` =	x > 0
f (x) = ln |x|	(ln |x|) ` =	x ≠ 0
f (x) = logax	(logax) ` =	a > 0; a ≠ 1; x > 0
f (x) = arc sin x	(arc sin x) `=	|x| < 1
f (x) = arc cos x	(arc cosx)`=	|x| < 1
f (x) = arc tg x	(arc tg x) `=
f (x) = arc ctg x	(arc ctg x)`=

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