FUNTZIOA
y=k
y=x
y = xn
y = k⋅x
y= x
y = ax
y = ex
DERIBATUA
y′ = 0
y′ = 1
y ′ = n ⋅ x n −1
y′ = k
y′ =
1
2⋅ x
y ′ = a x ⋅ ln a
y′ = e x
FUNTZIOA
DERIBATUA
y = un
y = k ⋅u
y =u+v
y = u ⋅v
u
y=
v
y ′ = n ⋅ u n −1 ⋅ u ′
y′ = k ⋅ u′
y′ = u ′ + v′
y ′ = u ′ ⋅ v + u ⋅ v′
u ′ ⋅ v − u ⋅ v′
y′ =
v2
u′
y′ =
2⋅ u
u
y ′ = a ⋅ ln a ⋅ u ′
y = eu ⋅ u′
y= u
y = au
y = eu
y = uv
y = log a x
y = ln x
y = sin x
y = cos x
y = tan x
y = arcsin x
y = arccos x
y = arctan x
1
x ⋅ ln a
1
y′ =
x
′
y = cos x
y ′ = − sin x
1
y′ =
= 1 + tan 2 x
cos 2 x
1
y′ =
1− x2
−1
y′ =
1− x2
1
y′ =
1+ x2
y′ =
y = log a u
y = ln u
y = sin u
y = cos u
y = tan u
y = arcsin u
y = arccos u
y = arctan u
y ′ = u v ⋅ ln u ⋅ v ′ + v ⋅ u v −1 ⋅ u ′
u′
y′ =
u ⋅ ln a
u′
y′ =
u
′
′
y = u ⋅ cos u
y ′ = −u ′ ⋅ sin u
u′
y′ =
= 1 + tan 2 u ⋅ u ′
cos 2 u
u′
y′ =
1− u2
− u′
y′ =
1− u2
u′
y′ =
1+ u2
(
)