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Phổ biến Giải tích Các bài toán
integral of (7-98x)/(sqrt(9-49x^2))
∫
7
−
9
8
x
√
9
−
4
9
x
2
dx
tangent y=5+4x^2-2x^3
tangent
y
=
5
+
4
x
2
−
2
x
3
derivative x^2+4x-3
derivative
x
2
+
4
x
−
3
tangent 3.5x-2x^2
tangent
3
.
5
x
−
2
x
2
integral of (1-2x)/(x+1)
∫
1
−
2
x
x
+
1
dx
d/(d{r)}(e^{{r}}+{r}^e)
d
d
r
(
e
r
+
r
e
)
integral of cot(24x)
∫
cot
(
2
4
x
)
dx
diện tích 13sin(x),13cos(x),0,pi
area
1
3
sin
(
x
)
,
1
3
cos
(
x
)
,
0
,
π
limit as x approaches infinity of [0,x]
lim
x
→
∞
(
[
0
,
x
]
)
limit as t approaches 0-of 2t-4
lim
t
→
0
−
(
2
t
−
4
)
limit as x approaches 0-of-2+(18)/(x^2)
lim
x
→
0
−
(
−
2
+
1
8
x
2
)
limit as x approaches 6+of 3/(x-6)
lim
x
→
6
+
(
3
x
−
6
)
limit as x approaches 3 of sqrt(x+13)
lim
x
→
3
(
√
x
+
1
3
)
sum from n=1 to infinity of n*(2/3)^n
∑
n
=
1
∞
n
·
(
2
3
)
n
derivative x/(x^2-9)
derivative
x
x
2
−
9
derivative of ln(sqrt(x^2-2))
d
dx
(
ln
(
√
x
2
−
2
)
)
derivative 2sin(t)*cos(t)
derivative
2
sin
(
t
)
·
cos
(
t
)
y^'=(x+y-4)^2
y
′
=
(
x
+
y
−
4
)
2
limit as x approaches 1 of cos(pi*x)
lim
x
→
1
(
cos
(
π
·
x
)
)
integral from 2 to infinity of xe^{-x^2}
∫
2
∞
xe
−
x
2
dx
derivative of 4-sqrt(x)
d
dx
(
4
−
√
x
)
integral of (sinh(x))/(1+cosh(x))
∫
sinh
(
x
)
1
+
cosh
(
x
)
dx
(dy)/(dx)=(2y)/(x^2-1)
dy
dx
=
2
y
x
2
−
1
derivative xsin^2(x)
derivative
x
sin
2
(
x
)
derivative 3x^2e^x+e^xx^3
derivative
3
x
2
e
x
+
e
x
x
3
limit as x approaches 0 of 4x^2-2x-6
lim
x
→
0
(
4
x
2
−
2
x
−
6
)
derivative x^{x^3}
derivative
x
x
3
lcm f(x)=,4\at x
lcm
f
(
x
)
=
,
4
at
x
d/(dy)(6y^2)
d
dy
(
6
y
2
)
derivative of x+3y^{1/3}
d
dx
(
x
+
3
y
1
3
)
derivative y=(x^3)/(x-1)
derivative
y
=
x
3
x
−
1
(\partial)/(\partial x)(ye^x+sin(y))
∂
∂
x
(
ye
x
+
sin
(
y
)
)
(\partial)/(\partial x)(yln(x^2+y^2+5)-7)
∂
∂
x
(
y
ln
(
x
2
+
y
2
+
5
)
−
7
)
integral of (-1)/(x-2)
∫
−
1
x
−
2
dx
integral of 4x^3+e^x+1
∫
4
x
3
+
e
x
+
1
dx
derivative F(x)=4x^6(x^4-6x)
derivative
F
(
x
)
=
4
x
6
(
x
4
−
6
x
)
integral of (5x^3+2x^2-2x+1)
∫
(
5
x
3
+
2
x
2
−
2
x
+
1
)
dx
taylor x/((1-x^2)^{1/2)}
taylor
x
(
1
−
x
2
)
1
2
derivative of (2pi/x)
d
dx
(
2
π
x
)
derivative f(x)=(3x+1)^{1/2}
derivative
f
(
x
)
=
(
3
x
+
1
)
1
2
integral of sqrt(x+5)
∫
√
x
+
5
dx
derivative sec^2(pit)
derivative
sec
2
(
π
t
)
hệ số góc (1,-6),(4,-6)
slope
(
1
,
−
6
)
,
(
4
,
−
6
)
integral of (x^4+(16)/(\sqrt[4]{x)})^2
∫
(
x
4
+
1
6
4
√
x
)
2
dx
derivative-x^2+2x+a
derivative
−
x
2
+
2
x
+
a
limit as x approaches c of 15
lim
x
→
c
(
1
5
)
limit as x approaches 0 of (sin(x))/1
lim
x
→
0
(
sin
(
x
)
1
)
integral of ((x^2+7x+1))/((x^2+1)^2)
∫
(
x
2
+
7
x
+
1
)
(
x
2
+
1
)
2
dx
laplacebiến đổi {t^2-3t-2e^{-t}sin(3t)}
laplacetransform
{
t
2
−
3
t
−
2
e
−
t
sin
(
3
t
)
}
derivative 7x^2cos(x)cot(x)
derivative
7
x
2
cos
(
x
)
cot
(
x
)
limit as x approaches 0 of e^x+3x 1/x
lim
x
→
0
(
e
x
+
3
x
1
x
)
d/(dt)(4e^{t/2})
d
dt
(
4
e
t
2
)
derivative arcsin(6x+1)
derivative
arcsin
(
6
x
+
1
)
derivative of 3/(x-1)
d
dx
(
3
x
−
1
)
derivative f(x)=6xe^xcsc(x)
derivative
f
(
x
)
=
6
xe
x
csc
(
x
)
hệ số góc (-5,7),(3,-5)
slope
(
−
5
,
7
)
,
(
3
,
−
5
)
sum from n=1 to infinity of (4n)/(7n-1)
∑
n
=
1
∞
4
n
7
n
−
1
integral of 1/(8xsqrt(x^2-64))
∫
1
8
x
√
x
2
−
6
4
dx
y^'=(ln(2))/7 y-20000,y(0)=200000
y
′
=
ln
(
2
)
7
y
−
2
0
0
0
0
,
y
(
0
)
=
2
0
0
0
0
0
derivative of x(x^4+9^3)
d
dx
(
x
(
x
4
+
9
)
3
)
integral of ln^2(1/2 x)
∫
ln
2
(
1
2
x
)
dx
nghịch đảolaplace ((12s+8))/((s-1)^5)
inverselaplace
(
1
2
s
+
8
)
(
s
−
1
)
5
(1-x)y^'=y^2
(
1
−
x
)
y
′
=
y
2
derivative (-8)/(5x+5)
derivative
−
8
5
x
+
5
derivative of tan(2)
d
dx
(
tan
(
2
)
)
derivative e^{2x}-sin(3x)
derivative
e
2
x
−
sin
(
3
x
)
integral of 5xe^{9x}
∫
5
xe
9
x
dx
integral of 3e^{-5x}
∫
3
e
−
5
x
dx
derivative of 4e^{-2x}
d
dx
(
4
e
−
2
x
)
integral of (cos(sqrt(t)))/(sqrt(t))
∫
cos
(
√
t
)
√
t
dt
integral of 1/((cos(4x))^2)
∫
1
(
cos
(
4
x
)
)
2
dx
integral of (x^2+9)e^{-x}
∫
(
x
2
+
9
)
e
−
x
dx
integral of (piy^4)/(16)
∫
π
y
4
1
6
dy
f(x)=-2cos(x)
f
(
x
)
=
−
2
cos
(
x
)
(\partial)/(\partial x)(x^3-5x^2+y^3-8y)
∂
∂
x
(
x
3
−
5
x
2
+
y
3
−
8
y
)
integral of (1-5/y+x)
∫
(
1
−
5
y
+
x
)
dy
derivative y=(4e)^x
derivative
y
=
(
4
e
)
x
derivative of (1-5x^2/(\sqrt[3]{3+2x)})
d
dx
(
1
−
5
x
2
3
√
3
+
2
x
)
d/(dy)(xln(xy))
d
dy
(
x
ln
(
xy
)
)
derivative f(x)=(2x+7)^2
derivative
f
(
x
)
=
(
2
x
+
7
)
2
derivative-16t^2
derivative
−
1
6
t
2
x^4(dy)/(dx)+2x^3y=1
x
4
dy
dx
+
2
x
3
y
=
1
derivative of 1/(4-x)
d
dx
(
1
4
−
x
)
derivative f(x)=(sin(x)-x)/(x^2)
derivative
f
(
x
)
=
sin
(
x
)
−
x
x
2
integral of x/(4-x^2)
∫
x
4
−
x
2
dx
(\partial)/(\partial x)(11x^2-2x^3)
∂
∂
x
(
1
1
x
2
−
2
x
3
)
integral from 0 to 1 of 2pi(x)(9-8x-x^2)
∫
0
1
2
π
(
x
)
(
9
−
8
x
−
x
2
)
dx
derivative g(x)=(1+6x)/(9-4x)
derivative
g
(
x
)
=
1
+
6
x
9
−
4
x
f^'(x)=3^x
f
′
(
x
)
=
3
x
integral of+(8x+3sin(x))^2
∫
+
(
8
x
+
3
sin
(
x
)
)
2
dx
derivative 4x^2+1
derivative
4
x
2
+
1
4y^{''}-4y^'+10y=0
4
y
′
′
−
4
y
′
+
1
0
y
=
0
integral of x/((x^2+1)(x-1))
∫
x
(
x
2
+
1
)
(
x
−
1
)
dx
derivative of x^{(x^x})
d
dx
(
x
(
x
x
)
)
limit as x approaches 6 of (x^2)/(x-6)
lim
x
→
6
(
x
2
x
−
6
)
(dy)/(dx)+y^5x=-6y
dy
dx
+
y
5
x
=
−
6
y
y^{''}+4y^'+29y=0
y
′
′
+
4
y
′
+
2
9
y
=
0
integral of ((2e^x+e^{2x})/(e^x))
∫
(
2
e
x
+
e
2
x
e
x
)
dx
derivative of 6/((1-x^3))
d
dx
(
6
(
1
−
x
)
3
)
(\partial)/(\partial x)(x^2+2y^2+3z^2)
∂
∂
x
(
x
2
+
2
y
2
+
3
z
2
)
1
..
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1223
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1226
..
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