Derivadas e integrales
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f(x)=k f'(x)=0
f(x)=x f'(x)=1
f(x)=kx f'(x)=k
f(x)=kx+b f'(x)=k
f(x)=x? f'(x)=nx?-1
f(x)=u(x)+v(x) f'(x)=u'(x)+v'(x)
f(x)=u(x)*v(x) f'(x)=u(x)*v'(x)+v(x)*v'(x)
f(x)=u(x)/v(x) f'(x)=v(x)*u'(x)-u(x)*v'(x)/[v(x)]²
f(x)=[u(x)]? f'(x)=[u(x)]?-1*u'(x)
f(x)=sen x f'(x)=cos x
f(x)=sen[u(x)] f'(x)=cos u*u'
f(x)=cos x f'(x)=-sen x
f(x)=cos u f'(x)=-sen u*u'
f(x)=tan x f'(x)=sec²x
f(x)=tan u f'(x)=sec²u*u'
f(x)=cot x f'(x)=sec x*tan x
f(x)=cot u f'(x)=-csc u*cot u*u'
f(x)=sec x f'(x)=sec x*tan x
f(x)=sec u f'(x)=sec u*tan u*u'
f(x)=csc x f'(x)=-csc x*cot x
f(x)=csc u f'(x)=-csc u*cot u* u'
1.?kdx=kx+c
2.?1/x dx= ln x+ c
3.?xndx= xn+1/n+1+c
4.?exdx=ex+c
5.?axdx=ax/ln a+c para a>0
6.?senx dx=-cos x +c
7.?cosx dx= sen x+c
8.?sec2x dx=tanx+c
9.?csc2xdx=-cotx+c
10.?tanx secx dx=secx +c
11.?cotx cscx dx=-cscx+c
12.?1/?1-x2 dx=arcsenx +c
13.?1/1+x2dx=arctanx+c
14.?1/IxI?x2-1dx=arcsecx+c
f(x)=x f'(x)=1
f(x)=kx f'(x)=k
f(x)=kx+b f'(x)=k
f(x)=x? f'(x)=nx?-1
f(x)=u(x)+v(x) f'(x)=u'(x)+v'(x)
f(x)=u(x)*v(x) f'(x)=u(x)*v'(x)+v(x)*v'(x)
f(x)=u(x)/v(x) f'(x)=v(x)*u'(x)-u(x)*v'(x)/[v(x)]²
f(x)=[u(x)]? f'(x)=[u(x)]?-1*u'(x)
f(x)=sen x f'(x)=cos x
f(x)=sen[u(x)] f'(x)=cos u*u'
f(x)=cos x f'(x)=-sen x
f(x)=cos u f'(x)=-sen u*u'
f(x)=tan x f'(x)=sec²x
f(x)=tan u f'(x)=sec²u*u'
f(x)=cot x f'(x)=sec x*tan x
f(x)=cot u f'(x)=-csc u*cot u*u'
f(x)=sec x f'(x)=sec x*tan x
f(x)=sec u f'(x)=sec u*tan u*u'
f(x)=csc x f'(x)=-csc x*cot x
f(x)=csc u f'(x)=-csc u*cot u* u'
1.?kdx=kx+c
2.?1/x dx= ln x+ c
3.?xndx= xn+1/n+1+c
4.?exdx=ex+c
5.?axdx=ax/ln a+c para a>0
6.?senx dx=-cos x +c
7.?cosx dx= sen x+c
8.?sec2x dx=tanx+c
9.?csc2xdx=-cotx+c
10.?tanx secx dx=secx +c
11.?cotx cscx dx=-cscx+c
12.?1/?1-x2 dx=arcsenx +c
13.?1/1+x2dx=arctanx+c
14.?1/IxI?x2-1dx=arcsecx+c