Derivas

Tabla de Derivadas e Integrales

|Función |Derivadas |Integrales |
|y = c |y' = 0|c.x |
|y = c.x |y' = c |c.x2/2 |
|y = xn |y' = n.xn-1|xn+1/n+1 |
|y = x-n |y’ = -1/(n.xn-1) |x-n+1/-n+1 |
|y = x½ |y’ =1/(2.x½) |2.x3/2/3 |
|y = xa/b |y' = a.x(a/b)-1/b |x(a/b)+1/[(a/b)+1] |
|y = 1/x|y' = -1/x2 |ln x |
|y = sen x |y' = cos x |-cos x ||y = cos x |y' = -sen x |sen x |
|y = tg x |y' = 1/cos2x |-ln cos x|
|y = cotg x |y' = -1/sen2x |ln sen x |
|y = sec x |y' = sen x/cos2x |ln (tg ½.x)|
|y = cosec x |y' = -cos x/sen2x |ln [cos x/(1 - sen x)] |
|y = arcsen x |y' = 1/(1 - x2)½|x.arcsen x + (1 - x2)½ |
|y = arccos x |y' = -1/(1 - x2)½ |x.arccos x - (1 - x2)½ |
|y = arctg x |y' = 1/(1 + x2)|x.arctg x - ½ln (1 + x2) |
|y = arccotg x |y' = -1/(1 + x2) |x.arccotg x + ½ln (1 + x2) |
|y = arcsec x |y' =...