Tabla de derivadas e integrales
Función Derivada Integrada
cy = 0 cxy
=
cxy = cy ='
2
2
x
c
n
xy = 1
'−
=n
nxy
1
1
+
+
n
xn
n
xy −
=
1
1
'−
−= n
nx
y
1
1
+−
+−
n
xn
2
1
xxy ==
2
1
2
1
'
x
y= 2
3
3
2x
b
a
baxxy ==
()
1
'−
=
b
a
bx
a
y
(
)
1
1
+
+
b
a
xb
a
x
y1
= 2
1
'
x
y−= xln
y=sen x y’=cos x -cos x
y=cos x y’=-sen x sen x
y=tg x
x
x
y2
2sec
cos
1
'==
-ln cos x
y=cotg x
x
x
sen
y2
2sec
1
'==
ln sen x
y=sec x
x
senx
xtgxy 2
cos
sec' == tgxx
x
tg += secln
2
ln
y=cosec x
x
sen
x
gxecxy 2
cos
cot cos' −=−=
ln(cosec x-cotg x)
y=arcsen x
2
1
1
'
x
y−
=
2
1. xarcsenxx −+
y=arccos x
2
1
1
'
x
y−
−=
2
1arccos. xxx −−
y=arctg x
2
1
1
'
x
y+
=
2
1ln
.
2
x
arctgxx +
−
y=arccotg x
2
1
1
'
x
y+
−=
2
1ln
.
2
x
arctgxx +
+
Y=arcsec x
1
1
'2−
=
xx
y
−
+− 2
21
1ln x
x
xxArcSecx
Y=arccosec x
1
1
'2−
−=
xx
y
y=senh x y’=cosh x cosh x
