Función drivadas

Enviado por Programa Chuletas y clasificado en Matemáticas

Escrito el en español con un tamaño de 1,85 KB

 
función drivadas
y = c y' = 0 y = c y' = 0
y = c.x y' = c y = c.x y' = c
y = x
y = xn y' = n.xy' = n.xn-1 y = xn y' = n.xn-1
y = xy = x- n y’ = -1/(n.xn-1y = x- n y’ = -1/(n.xn-1)
y = x½ y’ = 1/(2.x½)
y = xy = xa/b y' = a.x
(a/b)-1y = xa/b y' = a.x(a/b)-1/b
y = 1/x y' = -1/x2
y = sn x y' = cos x
y = cos x y' = -sn x
y = tg x y' = 1/cos2x
y = cotg x y' = -1/sn2x y = cotg x y' = -1/sn2x
y = sc x y' = sn x/cos2x
y = cosc x y' = -cos x/sn2x y = cosc x y' = -cos x/sn2x
y = arcsn x y' = 1/(1 - x2)½
y = arccos 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 = arccotg x y' = -1/(1 + x2)
y = arcsc x y' = 1/[x.(x2 -1)½]
y = arccosc x y' = -1/[x.(x2 - 1)½] y = arccosc x y' = -1/[x.(x2 - 1)½]
y = sn x y' = cos x
y = cos x y' = sn x
y = tg x y' = sx2x
y = cotg x y' = -cosx2x y = cotg x y' = -cosx2x
y = sx x y' = -sx x.tg x
y = cosx x y' = -cosx x.cotg x
y = ln x y' = 1/x
y = logax y' = 1/x.ln a
y = ey = ex y' = ey' = ex y = ex y' = ex
y = ax y' = ax.ln a
y = xy = xx y' = x
xy = 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 = uy = uv y' = u
vy = uv y' = uv.(v'.lnu + v.u'/u)
y = lnuv y’ = (v’.u.lnu - u’.v.lnv)/v.u.ln2u

Entradas relacionadas: