(u^n)’
n* u^n-1 * u’
(u^2)’
2* u * u’
(1/u)’
-1/u^2 * u’
(sqrt u)’
1/2sqrt u * u’
[sqrt^n(u)]’
1/n * sqrt^n(u^n-1) * u’
(e^u)’
e^u * u’
(a^u)’
a^u * ln a * u’
(ln u)’
1/u * u’
(loga u)’
1/u * ln a * u’
(sin u)’
cos u * u’
(cos u)’
-sin u * u’
(tg u)’
1/cos^2 u * u’
(ctg u)’
-1/sin^2 u * u’
(arcsin u)’
1/sqrt 1-u^2 * u’
(arccos u)’
-1/sqrt 1- u^2 * u’
(arctg u)’
1/u^2 +1 * u’
(arcctg)’
-1/u^2 +1 * u’