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Popular Calculus Problems
Find the Derivative - d/dx y=7/x
d
dx
y
=
7
x
Find the Derivative - d/dx 8/x
derivative
d
dx
(
8
x
)
Find the Derivative - d/dx tan(x/2)
derivative
d
dx
(
tan
(
x
2
)
)
Find the Derivative - d/dx e^2
derivative
d
dx
(
e
2
)
Find the Slope (2,1) , (5,3)
slope
(
2
,
1
)
,
(
5
,
3
)
Find the Slope (-1,0) , (0,1)
slope
(
−
1
,
0
)
,
(
0
,
1
)
Find the Derivative - d/dx tan(x)^2
derivative
d
dx
(
tan
2
(
x
)
)
Find the Antiderivative f(x)=1/(x^2)
integral
f
(
x
)
=
1
(
x
2
)
Find the Derivative - d/dx x^(3x)
derivative
d
dx
(
x
3
x
)
Find the 2nd Derivative e^2x
secondderivative
e
2
x
Find the 2nd Derivative y=sec(x)
secondderivative
y
=
sec
(
x
)
Find the Derivative - d/dx f(x)=arcsec(x)
d
dx
f
(
x
)
=
arcsec
(
x
)
Find the Derivative - d/dx x/4
derivative
d
dx
(
x
4
)
Find the Derivative - d/dx 100/x
derivative
d
dx
(
1
0
0
x
)
Find the Derivative - d/dx 2xy
derivative
d
dx
(
2
xy
)
Find the Arc Length f(x)=x^2+2x , 0<x<6
arclength
f
(
x
)
=
x
2
+
2
x
,
0
<
x
<
6
Find the Derivative - d/dx tan(3x)
derivative
d
dx
(
tan
(
3
x
)
)
Find the Derivative - d/dx f(x)=e^(4x)
d
dx
f
(
x
)
=
e
4
x
Find the Derivative - d/dx y=6x
d
dx
y
=
6
x
Find the Derivative - d/dx 7x
derivative
d
dx
(
7
x
)
Find dy/dx y=tan(x)
dy
dx
y
=
tan
(
x
)
Find the Derivative - d/dx tan(x)^3
derivative
d
dx
(
tan
3
(
x
)
)
Find the Antiderivative cos(x/(2))
integral
cos
(
x
(
2
)
)
Find the Derivative - d/dx 6^x
derivative
d
dx
(
6
x
)
Find the Antiderivative sec(2x)
integral
sec
(
2
x
)
Find the Derivative - d/dx e^(ex)
derivative
d
dx
(
e
ex
)
Find the Derivative - d/dx y=3x^2
d
dx
y
=
3
x
2
Find the Derivative - d/dx xsin(x)
derivative
d
dx
(
x
sin
(
x
)
)
Evaluate the Integral integral of 1/(x-x^2) with respect to x
∫
(
1
(
x
−
x
2
)
)
dx
Find the Derivative - d/dx x/a
derivative
d
dx
(
x
a
)
Find the Derivative - d/dx 2e^(-2x)
derivative
d
dx
(
2
e
−
2
x
)
Find the Derivative - d/dy y^2
derivative
d
dy
(
y
2
)
Find the Antiderivative -1/(e^x)
integral
−
1
(
e
x
)
Find the Derivative - d/dx y=4x
d
dx
y
=
4
x
Find the Derivative - d/dx y=2x^2
d
dx
y
=
2
x
2
Find the Derivative - d/dx cot(2x)
derivative
d
dx
(
cot
(
2
x
)
)
Find the Derivative - d/dx 1-cos(x)
derivative
d
dx
(
1
−
cos
(
x
)
)
Evaluate the Integral integral of 1/(sin(2x)) with respect to x
∫
(
1
(
sin
(
2
x
)
)
)
dx
Find the Derivative - d/dx e^x-3
derivative
d
dx
(
e
x
−
3
)
Find the Derivative - d/dx 3xy
derivative
d
dx
(
3
xy
)
Find the Antiderivative f(x)=x^-2
integral
f
(
x
)
=
x
−
2
Find the Derivative - d/dx 5
derivative
d
dx
(
5
)
Find the Derivative - d/dx 2^x
derivative
d
dx
(
2
x
)
Find the Derivative - d/dx 2sec(x)^2tan(x)
derivative
d
dx
(
2
sec
2
(
x
)
tan
(
x
)
)
Find the Derivative - d/dx 6/x
derivative
d
dx
(
6
x
)
Find the Derivative - d/dx 1/(x^2)
derivative
d
dx
(
1
(
x
2
)
)
Find dy/dx y=x+1/x
dy
dx
y
=
x
+
1
x
Evaluate the Integral integral of e^(2x)x^2 with respect to x
∫
(
e
2
x
x
2
)
dx
Using Summation Formulas sum from n=1 to infinity of (-1/3)^(n-1)
∑
n
=
1
∞
(
−
1
3
)
n
−
1
Evaluate the Limit limit as x approaches 0 of (sin(cos(x)))/(sec(x))
lim
x
→
0
(
(
sin
(
cos
(
x
)
)
)
(
sec
(
x
)
)
)
Find the Derivative - d/dt sin(2t)
derivative
d
dt
(
sin
(
2
t
)
)
Find the Derivative - d/dx y=3e^x
d
dx
y
=
3
e
x
Find the Derivative - d/dt 2t
derivative
d
dt
(
2
t
)
Find the Derivative - d/dx f(x)=e^(6x)
d
dx
f
(
x
)
=
e
6
x
Find the Antiderivative f(x)=sin(2x)
integral
f
(
x
)
=
sin
(
2
x
)
Find the Antiderivative f(x)=1/(x^3)
integral
f
(
x
)
=
1
(
x
3
)
Find the Derivative - d/dx e^(1/x)
derivative
d
dx
(
e
1
x
)
Find the Derivative - d/dx a^x
derivative
d
dx
(
a
x
)
Find the Antiderivative 1x
integral
1
x
Find the Antiderivative 1/(tan(x))
integral
1
(
tan
(
x
)
)
Find the Derivative - d/dx y=8x
d
dx
y
=
8
x
Evaluate the Derivative at @POINT y=2x^3-5x , (1,-3)
derivative
2
x
3
−
5
x
,
(
1
,
−
3
)
Find the Derivative - d/dx tan(x)sec(x)
derivative
d
dx
(
tan
(
x
)
sec
(
x
)
)
Find the Derivative - d/dx (50/( square root of x))x
derivative
d
dx
(
(
5
0
(
√
x
)
)
x
)
Evaluate the Limit limit as h approaches 0 of ((x+h)^4-x^4)/h
lim
h
→
0
(
(
(
x
+
h
)
4
−
x
4
)
h
)
Find the Derivative - d/dx 100/(100-x)
derivative
d
dx
(
1
0
0
(
1
0
0
−
x
)
)
Find the Slope (4,0) , (0,4)
slope
(
4
,
0
)
,
(
0
,
4
)
Evaluate the Integral integral of tan(y) with respect to y
∫
(
tan
(
y
)
)
dy
Find the Derivative - d/dt cos(2t)
derivative
d
dt
(
cos
(
2
t
)
)
Find the Derivative - d/dx 2cos(2x)
derivative
d
dx
(
2
cos
(
2
x
)
)
Find the Derivative - d/dx 1/(e^x)
derivative
d
dx
(
1
(
e
x
)
)
Find dy/dx y=xsin(x)
dy
dx
y
=
x
sin
(
x
)
Find the Antiderivative 1/(y^2)
integral
1
(
y
2
)
Find the Derivative - d/dx 1/((1-x)^2)
derivative
d
dx
(
1
(
(
1
−
x
)
2
)
)
Find the Antiderivative f(x)=cos(x)
integral
f
(
x
)
=
cos
(
x
)
Find the Derivative - d/dx 1/( square root of x)
derivative
d
dx
(
1
(
√
x
)
)
Find the Arc Length x=(y^4)/8+1/(4y^2) , 1<=y<=3
arclength
x
=
(
y
4
)
8
+
1
(
4
y
2
)
,
1
≤
y
≤
3
Find the Derivative - d/dx 2 square root of x
derivative
d
dx
(
2
√
x
)
Find the Derivative - d/dx 4e^x
derivative
d
dx
(
4
e
x
)
Find the Derivative - d/dy y/x
derivative
d
d
y
y
x
Find the Derivative - d/dx y = square root of sec(2x)
d
dx
y
=
√
sec
(
2
x
)
Evaluate the Integral integral of e^(ax) with respect to x
∫
(
e
ax
)
dx
Find the Slope (4,6) , (-4,-6)
slope
(
4
,
6
)
,
(
−
4
,
−
6
)
Find the Derivative - d/du arcsin(u)
derivative
d
du
(
arcsin
(
u
)
)
Evaluate the Limit limit as x approaches 0 of (sin(x))/(|x|)
lim
x
→
0
(
(
sin
(
x
)
)
(
|
x
|
)
)
Find the Derivative - d/dx arctan(y/x)
derivative
d
dx
(
arctan
(
y
x
)
)
Evaluate the Limit limit as X approaches infinity of arctan(X)
lim
X
→
∞
(
arctan
(
X
)
)
Find the Derivative - d/dx 3cos(x)
derivative
d
dx
(
3
cos
(
x
)
)
Find the Derivative - d/dx 5e^x
derivative
d
dx
(
5
e
x
)
Find the Derivative - d/dx e^(tan(2x))
derivative
d
dx
(
e
tan
(
2
x
)
)
Find the Slope y=1/3x-4
slope
y
=
1
3
x
−
4
Find the Derivative - d/dx y=2sin(x)cos(x)
d
dx
y
=
2
sin
(
x
)
cos
(
x
)
Find the Derivative - d/dx y=2tan(x)
d
dx
y
=
2
tan
(
x
)
Find the Derivative - d/dx 4sin(x)
derivative
d
dx
(
4
sin
(
x
)
)
Find the Derivative - d/dx sin(xy)
derivative
d
dx
(
sin
(
xy
)
)
Find dy/dx y=sin(x)
dy
dx
y
=
sin
(
x
)
Find the Derivative - d/dx 4
derivative
d
dx
(
4
)
Find the Derivative - d/dx csc(2x)
derivative
d
dx
(
csc
(
2
x
)
)
Find the Derivative - d/dx y=1/(x-1)
d
dx
y
=
1
(
x
−
1
)
Find the Derivative - d/dx arccsc(x)
derivative
d
dx
(
arccsc
(
x
)
)
1
..
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1819
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