(c)'=0

(xⁿ)'=nx^n-1

(x)'=1

(a/x)'=-a/x²

(√x)'= 1/2√x

(a^x)'=a^xln a

(e^x)'=e^x

(Log_ax)'=1/xlna

(ln x)' =1/x

(sinx)'=cosx

(cosx)'=-sinx

(tgx)'=1/cos²x

(ctg)'=-1/sin²x

(arcsinx)'=1/√1-x²

(arccosx)'=-1/√1-x²

(arctgx)'=1/√x²+1

(arcctgx)'=-1/√x²+1

Z def

F(x₀+∆x)-f(x₀)/∆x

A/∞=0 A/0=∞

Ln0>∞ ln1=0

Lne=1 ln∞>∞

	0	30	45	60	90
	0	Pi/6	Pi/4	Pi/3	Pi/2
(Arc)sinx	0	½	√2/2	√3/2	1
(arc)cosx	1	√3/2	√2/2	½	0
(arc)tg	0	√3/3	1	√3	∞
(arc)ctg	∞	√3	1	√3/3	0

S dx=x+c

S xⁿdx=(1/n+1)xⁿ⁺¹+c

S xdx=(1/2)x²+c

S (1/x)dx=ln IxI+c

S a^xdx= a^x/lna)+c

S e^xdx=e^x+c

S sin xdx=-cosx+c

S cosxdx=sinx+c

S tgxdx=-ln IcosxI+c

S ctgxdx=ln IsinxI+c

S dx/cos²x=tgx+c

S dx/sim²x=-ctgx+c

S dx/x²-a²=1/2a)lnIx-a/x+aI+c

S dx/√a²-x²=arcsin x/a+c

S dx/√a²+q=ln Ix+√x²+qI+c

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