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일반적인 미적분학 문제
derivative derivative of tan(x/2)
derivative
d
dx
(
tan
(
x
2
)
)
derivative derivative of e^2
derivative
d
dx
(
e
2
)
경사지 (2,1),(5,3)
slope
(
2
,
1
)
,
(
5
,
3
)
경사지 (-1,0),(0,1)
slope
(
−
1
,
0
)
,
(
0
,
1
)
derivative derivative of tan^2(x)
derivative
d
dx
(
tan
2
(
x
)
)
적분 f(x)= 1/((x^2))
integral
f
(
x
)
=
1
(
x
2
)
derivative derivative of x^{3x}
derivative
d
dx
(
x
3
x
)
secondderivative e^2x
secondderivative
e
2
x
secondderivative y=sec(x)
secondderivative
y
=
sec
(
x
)
derivative of f(x)=arcsec(x)
d
dx
f
(
x
)
=
arcsec
(
x
)
derivative derivative of x/4
derivative
d
dx
(
x
4
)
derivative derivative of (100/x)
derivative
d
dx
(
1
0
0
x
)
derivative derivative of 2xy
derivative
d
dx
(
2
xy
)
arclength f(x)=x^2+2x,0<x<6
arclength
f
(
x
)
=
x
2
+
2
x
,
0
<
x
<
6
derivative derivative of tan(3x)
derivative
d
dx
(
tan
(
3
x
)
)
derivative of f(x)=e^{4x}
d
dx
f
(
x
)
=
e
4
x
derivative of y=6x
d
dx
y
=
6
x
derivative derivative of 7x
derivative
d
dx
(
7
x
)
(dy)/(dx)y=tan(x)
dy
dx
y
=
tan
(
x
)
derivative derivative of tan^3(x)
derivative
d
dx
(
tan
3
(
x
)
)
적분 cos(x/((2)))
integral
cos
(
x
(
2
)
)
derivative derivative of 6^x
derivative
d
dx
(
6
x
)
적분 sec(2x)
integral
sec
(
2
x
)
derivative derivative of e^{ex}
derivative
d
dx
(
e
ex
)
derivative of y=3x^2
d
dx
y
=
3
x
2
derivative derivative of xsin(x)
derivative
d
dx
(
x
sin
(
x
)
)
integral of (1/((x-x^2)))
∫
(
1
(
x
−
x
2
)
)
dx
derivative derivative of x/a
derivative
d
dx
(
x
a
)
derivative derivative of 2e^{-2x}
derivative
d
dx
(
2
e
−
2
x
)
derivative d/(dy)(y^2)
derivative
d
dy
(
y
2
)
적분 (-1)/((e^x))
integral
−
1
(
e
x
)
derivative of y=4x
d
dx
y
=
4
x
derivative of y=2x^2
d
dx
y
=
2
x
2
derivative derivative of cot(2x)
derivative
d
dx
(
cot
(
2
x
)
)
derivative derivative of 1-cos(x)
derivative
d
dx
(
1
−
cos
(
x
)
)
integral of (1/((sin(2x))))
∫
(
1
(
sin
(
2
x
)
)
)
dx
derivative derivative of e^x-3
derivative
d
dx
(
e
x
−
3
)
derivative derivative of 3xy
derivative
d
dx
(
3
xy
)
적분 f(x)=x^{-2}
integral
f
(
x
)
=
x
−
2
derivative derivative of 5
derivative
d
dx
(
5
)
derivative derivative of 2^x
derivative
d
dx
(
2
x
)
derivative derivative of 2sec^2(xtan(x))
derivative
d
dx
(
2
sec
2
(
x
)
tan
(
x
)
)
derivative derivative of 6/x
derivative
d
dx
(
6
x
)
derivative derivative of 1/((x^2))
derivative
d
dx
(
1
(
x
2
)
)
(dy}{dx}y=\frac{x+1)/x
dy
dx
y
=
x
+
1
x
integral of (e^{2x}x^2)
∫
(
e
2
x
x
2
)
dx
sum from n=1 to infinity of ((-1)/3)^{n-1}
∑
n
=
1
∞
(
−
1
3
)
n
−
1
limit as x approaches 0 of ((sin(cos(x))))/((sec(x)))
lim
x
→
0
(
(
sin
(
cos
(
x
)
)
)
(
sec
(
x
)
)
)
derivative d/(dt)(sin(2t))
derivative
d
dt
(
sin
(
2
t
)
)
derivative of y=3e^x
d
dx
y
=
3
e
x
derivative d/(dt)(2t)
derivative
d
dt
(
2
t
)
derivative of f(x)=e^{6x}
d
dx
f
(
x
)
=
e
6
x
적분 f(x)=sin(2x)
integral
f
(
x
)
=
sin
(
2
x
)
적분 f(x)= 1/((x^3))
integral
f
(
x
)
=
1
(
x
3
)
derivative derivative of e^{1/x}
derivative
d
dx
(
e
1
x
)
derivative derivative of a^x
derivative
d
dx
(
a
x
)
적분 1x
integral
1
x
적분 1/((tan(x)))
integral
1
(
tan
(
x
)
)
derivative of y=8x
d
dx
y
=
8
x
derivative 2x^3-5x,(1,-3)
derivative
2
x
3
−
5
x
,
(
1
,
−
3
)
derivative derivative of tan(xsec(x))
derivative
d
dx
(
tan
(
x
)
sec
(
x
)
)
derivative derivative of ((50/((sqrt(x))))x)
derivative
d
dx
(
(
5
0
(
√
x
)
)
x
)
limit as h approaches 0 of (((x+h)^4-x^4))/h
lim
h
→
0
(
(
(
x
+
h
)
4
−
x
4
)
h
)
derivative derivative of (100/((100-x)))
derivative
d
dx
(
1
0
0
(
1
0
0
−
x
)
)
경사지 (4,0),(0,4)
slope
(
4
,
0
)
,
(
0
,
4
)
integral of (tan(y))
∫
(
tan
(
y
)
)
dy
derivative d/(dt)(cos(2t))
derivative
d
dt
(
cos
(
2
t
)
)
derivative derivative of 2cos(2x)
derivative
d
dx
(
2
cos
(
2
x
)
)
derivative derivative of 1/((e^x))
derivative
d
dx
(
1
(
e
x
)
)
(dy)/(dx)y=xsin(x)
dy
dx
y
=
x
sin
(
x
)
적분 1/((y^2))
integral
1
(
y
2
)
derivative derivative of 1/(((1-x^2)))
derivative
d
dx
(
1
(
(
1
−
x
)
2
)
)
적분 f(x)=cos(x)
integral
f
(
x
)
=
cos
(
x
)
derivative derivative of 1/((sqrt(x)))
derivative
d
dx
(
1
(
√
x
)
)
arclength x=((y^4))/8+1/((4y^2)),1<= y<= 3
arclength
x
=
(
y
4
)
8
+
1
(
4
y
2
)
,
1
≤
y
≤
3
derivative derivative of 2sqrt(x)
derivative
d
dx
(
2
√
x
)
derivative derivative of 4e^x
derivative
d
dx
(
4
e
x
)
derivative d/d y y/x
derivative
d
d
y
y
x
derivative of y=sqrt(sec(2x))
d
dx
y
=
√
sec
(
2
x
)
integral of (e^{ax})
∫
(
e
ax
)
dx
경사지 (4,6),(-4,-6)
slope
(
4
,
6
)
,
(
−
4
,
−
6
)
derivative d/(du)(arcsin(u))
derivative
d
du
(
arcsin
(
u
)
)
limit as x approaches 0 of ((sin(x)))/((|x|))
lim
x
→
0
(
(
sin
(
x
)
)
(
|
x
|
)
)
derivative derivative of arctan(y/x)
derivative
d
dx
(
arctan
(
y
x
)
)
limit as X approaches infinity of arctan(X)
lim
X
→
∞
(
arctan
(
X
)
)
derivative derivative of 3cos(x)
derivative
d
dx
(
3
cos
(
x
)
)
derivative derivative of 5e^x
derivative
d
dx
(
5
e
x
)
derivative derivative of e^{tan(2x})
derivative
d
dx
(
e
tan
(
2
x
)
)
경사지 y= 1/(3x-4)
slope
y
=
1
3
x
−
4
derivative of y=2sin(x)cos(x)
d
dx
y
=
2
sin
(
x
)
cos
(
x
)
derivative of y=2tan(x)
d
dx
y
=
2
tan
(
x
)
derivative derivative of 4sin(x)
derivative
d
dx
(
4
sin
(
x
)
)
derivative derivative of sin(xy)
derivative
d
dx
(
sin
(
xy
)
)
(dy)/(dx)y=sin(x)
dy
dx
y
=
sin
(
x
)
derivative derivative of 4
derivative
d
dx
(
4
)
derivative derivative of csc(2x)
derivative
d
dx
(
csc
(
2
x
)
)
derivative of y= 1/((x-1))
d
dx
y
=
1
(
x
−
1
)
derivative derivative of arccsc(x)
derivative
d
dx
(
arccsc
(
x
)
)
diffquot f= 1/x
diffquot
f
=
1
x
derivative of f(x)=e^{-ax}
d
dx
f
(
x
)
=
e
−
ax
1
..
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