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Phổ biến Giải tích Các bài toán
derivative of sqrt(1-169x^2)arccos(13x)
d
dx
(
√
1
−
1
6
9
x
2
arccos
(
1
3
x
)
)
derivative (9x^2+9sqrt(x))/(8x)
derivative
9
x
2
+
9
√
x
8
x
integral of 1/(2-t)+1/(2+t)
∫
1
2
−
t
+
1
2
+
t
dt
integral from-infinity to 4 of e^{-x}
∫
−
∞
4
e
−
x
dx
y^{''}+y^'=sin^2(x)
y
′
′
+
y
′
=
sin
2
(
x
)
diện tích x=-2,x=1,y=11x,y=x^2-12
area
x
=
−
2
,
x
=
1
,
y
=
1
1
x
,
y
=
x
2
−
1
2
derivative of sqrt(400-5x)
d
dx
(
√
4
0
0
−
5
x
)
integral of v(u+v^2)^4
∫
v
(
u
+
v
2
)
4
du
integral of sin(θ)
∫
sin
(
θ
)
d
θ
derivative of sqrt(6)x+sqrt(7x)
d
dx
(
√
6
x
+
√
7
x
)
(\partial)/(\partial x)(-2sqrt(x^2+y^2))
∂
∂
x
(
−
2
√
x
2
+
y
2
)
derivative of x^{-4/3}
d
dx
(
x
−
4
3
)
y^'+ky=e^{-7kx}
y
′
+
ky
=
e
−
7
kx
derivative 1/(sqrt(64+5t^2))
derivative
1
√
6
4
+
5
t
2
integral of 1/(x^2+9)
∫
1
x
2
+
9
dx
tangent f(x)=2x^3-x^2+3x,\at x=1
tangent
f
(
x
)
=
2
x
3
−
x
2
+
3
x
,
at
x
=
1
integral from 0 to t of e^x*sin(pi*x)
∫
0
t
e
x
·
sin
(
π
·
x
)
dx
tangent 6e^xcos(x)
tangent
6
e
x
cos
(
x
)
limit as x approaches 6 of x^2-36
lim
x
→
6
(
x
2
−
3
6
)
(\partial)/(\partial x)(sqrt(5x))
∂
∂
x
(
√
5
x
)
limit as x approaches 0 of ((tan(5x)))/x
lim
x
→
0
(
(
tan
(
5
x
)
)
x
)
integral of 12x^2ln(x)
∫
1
2
x
2
ln
(
x
)
dx
derivative arccot(15y)
derivative
arccot
(
1
5
y
)
derivative of (3sqrt(x)/2)
d
dx
(
3
√
x
2
)
x^2y^'+2xy=13cos^2(x)
x
2
y
′
+
2
xy
=
1
3
cos
2
(
x
)
y^'+3x^2y=6x^2
y
′
+
3
x
2
y
=
6
x
2
integral of-cot(2x)
∫
−
cot
(
2
x
)
dx
integral of sqrt(x)(sqrt(a)-sqrt(x))^2
∫
√
x
(
√
a
−
√
x
)
2
dx
derivative of 2/(sqrt(x^2+1))
d
dx
(
2
√
x
2
+
1
)
integral from 0 to 2 of 2pi(5-x)(8-x^3)
∫
0
2
2
π
(
5
−
x
)
(
8
−
x
3
)
dx
integral of (4/(x^2))
∫
(
4
x
2
)
dx
(xdy)/(dx)+5y=7x^2,f(2)=5
xdy
dx
+
5
y
=
7
x
2
,
f
(
2
)
=
5
derivative of Cxe^{-x}
d
dx
(
Cxe
−
x
)
integral of-16cos(4t+pi)
∫
−
1
6
cos
(
4
t
+
π
)
dt
derivative of (x-2^{x+1})
d
dx
(
(
x
−
2
)
x
+
1
)
(y^{-2})^'
(
y
−
2
)
′
(\partial)/(\partial x)(x^6y-2x^3y^2)
∂
∂
x
(
x
6
y
−
2
x
3
y
2
)
diện tích y=x+4,y=x^2+x-12
area
y
=
x
+
4
,
y
=
x
2
+
x
−
1
2
diện tích 2(x+1),3(x+1),x=4
area
2
(
x
+
1
)
,
3
(
x
+
1
)
,
x
=
4
derivative x^3+x+3
derivative
x
3
+
x
+
3
diện tích e^x,e^{-4x},x=ln(3)
area
e
x
,
e
−
4
x
,
x
=
ln
(
3
)
integral from 1 to 3 of ((x)^3+e^{-3x})
∫
1
3
(
(
x
)
3
+
e
−
3
x
)
dx
limit as x approaches 36 of sqrt(x)
lim
x
→
3
6
(
√
x
)
limit as x approaches 3 of (4x+5)(3x-2)
lim
x
→
3
(
(
4
x
+
5
)
(
3
x
−
2
)
)
limit as x approaches-infinity of 1+x^2
lim
x
→
−
∞
(
1
+
x
2
)
y=xln(x)
y
=
x
ln
(
x
)
tangent f(x)=3sqrt(x),\at x=16
tangent
f
(
x
)
=
3
√
x
,
at
x
=
1
6
integral of sec^3(2x)
∫
sec
3
(
2
x
)
dx
integral from 0 to 4 of 4y-y^2
∫
0
4
4
y
−
y
2
dy
inverselaplace (400)/((s(s^2+200)))
inverselaplace
4
0
0
(
s
(
s
2
+
2
0
0
)
)
laplacetransform x^2e^{3x}
laplacetransform
x
2
e
3
x
derivative of (arctan(2x)^2)
d
dx
(
(
arctan
(
2
x
)
)
2
)
integral of ((x-1))/(x^2)
∫
(
x
−
1
)
x
2
dx
derivative of x^2sqrt(x)-5x
d
dx
(
x
2
√
x
−
5
x
)
diện tích y=2-e^x,y=10e^{-x}-5
area
y
=
2
−
e
x
,
y
=
1
0
e
−
x
−
5
derivative f(x)=(ln(4))/3 e^x
derivative
f
(
x
)
=
ln
(
4
)
3
e
x
derivative y=(5x-2)/(sqrt(x))
derivative
y
=
5
x
−
2
√
x
tangent 8x^{-2}
tangent
8
x
−
2
integral of-sqrt(x)
∫
−
√
x
dx
limit as x approaches 0 of arccot(1/x)
lim
x
→
0
(
arccot
(
1
x
)
)
derivative of (-x^2+2x(3x+2)(x-1))
d
dx
(
(
−
x
2
+
2
x
)
(
3
x
+
2
)
(
x
−
1
)
)
tangent f(x)=3x^2,(1,3)
tangent
f
(
x
)
=
3
x
2
,
(
1
,
3
)
y^'=(e^x)/y
y
′
=
e
x
y
integral from 1 to 5 of 2/x
∫
1
5
2
x
dx
limit as x approaches 0 of (20)/(1+x)
lim
x
→
0
(
2
0
1
+
x
)
integral of cos(5)
∫
cos
(
5
)
integral of e^x*1/x
∫
e
x
·
1
x
dx
derivative y=cos(7x)
derivative
y
=
cos
(
7
x
)
hệ số góc y=((x-4))/(sqrt(x)-2)
slope
y
=
(
x
−
4
)
√
x
−
2
sum from n=1 to infinity of 3*(4/3)^n
∑
n
=
1
∞
3
·
(
4
3
)
n
y^{''}+2y^'+y=4e^{-2t}
y
′
′
+
2
y
′
+
y
=
4
e
−
2
t
tangent sqrt(x)(81.9)
tangent
√
x
(
8
1
.
9
)
(1+x)^2y^'+(1+x)y=1
(
1
+
x
)
2
y
′
+
(
1
+
x
)
y
=
1
integral of 1/((x-2)sqrt(x+2))
∫
1
(
x
−
2
)
√
x
+
2
dx
laplacetransform (t-(3pi)/6)sin(6t)
laplacetransform
(
t
−
3
π
6
)
sin
(
6
t
)
derivative of 6ln(cos(x))
d
dx
(
6
ln
(
cos
(
x
)
)
)
(\partial)/(\partial x)(e^{xy}sin(y))
∂
∂
x
(
e
xy
sin
(
y
)
)
limit as x approaches 0 of 9x^2-2x+5
lim
x
→
0
(
9
x
2
−
2
x
+
5
)
(\partial)/(\partial b)(10^{-2b})
∂
∂
b
(
1
0
−
2
b
)
integral of (x^2)/(x^2+x-6)
∫
x
2
x
2
+
x
−
6
dx
limit as x approaches 0 of (sin(-x))/x
lim
x
→
0
(
sin
(
−
x
)
x
)
derivative of e^x+cos(x)
d
dx
(
e
x
+
cos
(
x
)
)
derivative of 10log_{10}(100x)
d
dx
(
1
0
log
1
0
(
1
0
0
x
)
)
derivative of cos(2x^2-3)
d
dx
(
cos
(
2
x
2
−
3
)
)
derivative f(x)=(x^2)/(2+x)
derivative
f
(
x
)
=
x
2
2
+
x
diện tích x^2-2x,x+4
area
x
2
−
2
x
,
x
+
4
diện tích y=x^2-1,y=-x^2+1
area
y
=
x
2
−
1
,
y
=
−
x
2
+
1
sin(2x)dx+cos(3y)dy=0
sin
(
2
x
)
dx
+
cos
(
3
y
)
dy
=
0
derivative of (4-3x/(3x^2+x))
d
dx
(
4
−
3
x
3
x
2
+
x
)
(\partial}{\partial x}(\frac{7x)/y)
∂
∂
x
(
7
x
y
)
(dx)/(dy)-0.06x=200
dx
dy
−
0
.
0
6
x
=
2
0
0
integral of (6x)/(sqrt(1-x^4))
∫
6
x
√
1
−
x
4
dx
integral from-3 to x of t^2e^{t^2}
∫
−
3
x
t
2
e
t
2
dt
integral from 1 to 2 of 5^{-θ}
∫
1
2
5
−
θ
d
θ
(\partial)/(\partial x)(x^2+y^2+1)
∂
∂
x
(
x
2
+
y
2
+
1
)
(d^2)/(dx^2)(xe^{-x})
d
2
dx
2
(
xe
−
x
)
inverselaplace (1+s)/((s(s^2+s+1)))
inverselaplace
1
+
s
(
s
(
s
2
+
s
+
1
)
)
integral of (cos(x))/((sin^2(x)+25)^2)
∫
cos
(
x
)
(
sin
2
(
x
)
+
2
5
)
2
dx
(\partial)/(\partial y)(2xy+y^2)
∂
∂
y
(
2
xy
+
y
2
)
x(dy)/(dx)+(-1+x)y=-xy^2
x
dy
dx
+
(
−
1
+
x
)
y
=
−
xy
2
1
..
8
9
10
11
12
..
1823