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toán 11
công thức kì II
Công thức quên
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Cards (24)
(
1
v
)
′
=
(\frac{1}{v})' =
(
v
1
)
′
=
−
v
v
2
-\frac{v}{v^2}
−
v
2
v
(
l
n
∣
x
∣
)
′
=
(ln|x|)' =
(
l
n
∣
x
∣
)
′
=
1
x
\frac{1}{x}
x
1
,
∀
x
≠
0
\forall x\neq0
∀
x
=
0
(
x
n
)
′
=
(x^n)' =
(
x
n
)
′
=
n
x
n
−
1
nx^{n-1}
n
x
n
−
1
(
1
x
)
′
=
(\frac{1}{x})' =
(
x
1
)
′
=
−
1
x
2
-\frac{1}{x^2}
−
x
2
1
(
x
)
′
=
(\sqrt{x})' =
(
x
)
′
=
1
2
x
\frac{1}{2\sqrt{x} }
2
x
1
(
u
n
)
′
=
(u^n)' =
(
u
n
)
′
=
n
u
n
−
1
.
u
′
nu^{n-1}.u'
n
u
n
−
1
.
u
′
(
1
u
)
′
=
(\frac{1}{u})' =
(
u
1
)
′
=
−
u
′
u
2
-\frac{u'}{u^2}
−
u
2
u
′
(
u
)
′
=
(\sqrt{u})' =
(
u
)
′
=
u
′
2
u
\frac{u'}{2\sqrt{u} }
2
u
u
′
(
sin
(
x
)
)
′
=
(\sin(x))' =
(
sin
(
x
)
)
′
=
cos
(
x
)
\cos(x)
cos
(
x
)
(
cos
(
x
)
)
′
=
(\cos(x))' =
(
cos
(
x
)
)
′
=
−
sin
(
x
)
-\sin(x)
−
sin
(
x
)
(
tan
(
x
)
)
′
=
(\tan(x))' =
(
tan
(
x
)
)
′
=
1
c
o
s
2
x
\frac{1}{cos^2x}
co
s
2
x
1
(
cot
(
x
)
)
′
=
(\cot(x))' =
(
cot
(
x
)
)
′
=
−
1
s
i
n
2
x
-\frac{1}{sin^2x}
−
s
i
n
2
x
1
(
sin
(
u
)
)
′
=
(\sin(u))' =
(
sin
(
u
)
)
′
=
u
′
.
cos
(
u
)
u'.\cos(u)
u
′
.
cos
(
u
)
(
cos
(
u
)
)
′
=
(\cos(u))' =
(
cos
(
u
)
)
′
=
−
u
′
.
sin
(
u
)
-u'.\sin(u)
−
u
′
.
sin
(
u
)
(
t
a
n
(
u
)
)
′
=
(tan(u))' =
(
t
an
(
u
)
)
′
=
u
′
cos
2
u
\frac{u'}{\cos^2u}
c
o
s
2
u
u
′
(
cot
(
u
)
)
′
=
(\cot(u))' =
(
cot
(
u
)
)
′
=
−
u
′
sin
2
u
-\frac{u'}{\sin^2u}
−
s
i
n
2
u
u
′
(
e
x
)
′
=
(e^x)' =
(
e
x
)
′
=
e
x
e^x
e
x
(
a
x
)
=
(a^x) =
(
a
x
)
=
a
n
.
ln
(
a
)
a^n . \ln(a)
a
n
.
ln
(
a
)
(
ln
(
x
)
)
′
=
(\ln(x))' =
(
ln
(
x
)
)
′
=
1
x
\frac{1}{x}
x
1
(
log
a
u
)
′
=
(\log_au)' =
(
lo
g
a
u
)
′
=
1
x
ln
(
a
)
\frac{1}{x\ln(a)}
x
l
n
(
a
)
1
(
e
u
)
′
=
(e^u)' =
(
e
u
)
′
=
e
u
.
u
′
e^u . u'
e
u
.
u
′
(
a
u
)
′
=
(a^u)' =
(
a
u
)
′
=
a
u
.
u
′
.
ln
(
a
)
a^u.u'.\ln(a)
a
u
.
u
′
.
ln
(
a
)
(
l
n
(
u
)
)
′
=
(ln(u))' =
(
l
n
(
u
)
)
′
=
u
′
u
\frac{u'}{u}
u
u
′
(
log
a
u
)
′
=
(\log_au)' =
(
lo
g
a
u
)
′
=
u
′
u
ln
(
a
)
\frac{u'}{u\ln(a)}
u
l
n
(
a
)
u
′
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