c’
0
x’
1
(x^n)’
nx^n-1
(sqrtx)
1/2sqrtx
(1/x)’
-1/x^2
(e^x)’
e^x
(a^x)’
a^x * ln(a)
(ln x)’
1/x
(loga x)’
1/x*lna
(arctg x)’
1/x^2+1
(arcctg x)’
-1/x^2+1
(arcsin x)’
1/sqrt 1-x^2
(arccos x)’
-1/sqrt 1-x^2
(sin x)’
cos x
(cos x)’
-sin x
(tg x)’
1/cos^2 x
(ctg x)’
-1/sin^2 x
(sqrt x^2 - a^2)’
x/sqrt x^2 - a^2
(sqrt x^2 + a^2)’
x/sqrt x^2 + a^2
(sqrt a^2 - x^2)’
-x/sqrt a^2 - x^2