Tabla De Derivadas E Integrales

Tabla de Derivadas e Integrales
|y = ln x |y’ = 1/x |
|y = logax |y’ = 1/x.ln a |
|y = ex |y’= ex |
|y = ax |y’ = ax.ln a |
|y = xx |y’ = xx.(ln x + 1) |
|y = eu|y’ = eu.u’ |
|y = u.v |y’ = u’.v + v’.u |
|y = u/v |y’ = (u’.v – v’.u)/v2 |
|y = uv|y’ = uv.(v’.lnu + v.u’/u) |
|y = lnuv |y’ = (v’.u.lnu – u’.v.lnv)/v.u.ln2u |


 
|Función |Derivada|
|y = c |y’ = 0 |
|y = c.x |y’ = c |
|y = xn |y’ = n.xn-1|
|y = x-n |y’ = -1/(n.xn-1) |
|y = x½ |y’ = 1/(2.x½) |
|y = xa/b |y’ = a.x(a/b)-1/b|
|y = 1/x |y’ = -1/x2 |
|y = sen x |y’ = cos x |
|y = cos x |y’ = -sen x|
|y = tg x |y’ = 1/cos2x |
|y = cotg x |y’ = -1/sen2x |
|y = sec x |y’ = senx/cos2x |
|y = cosec x |y’ = -cos x/sen2x |
|y = arcsen x |y’ = 1/(1 – x2)½ |
|y = arccos x|y’ = -1/(1 – x2)½ |
|y = arctg x |y’ = 1/(1 + x2) |
|y = arccotg x |y’ = -1/(1 + x2) |
|y = arcsec x...