| 68001 |
Find the Derivative - d/dx |
(x+1/x)^2 |
|
| 68002 |
Solve the Differential Equation |
(1-x)y''''=y^2 |
|
| 68003 |
Find Where Increasing/Decreasing |
x^(1/3)(x+3)^(2/3) |
|
| 68004 |
Find dy/dx |
x^2+y^2=13 |
|
| 68005 |
Find the Derivative - d/dx |
-y/x |
|
| 68006 |
Evaluate the Integral |
integral from -pi/4 to (7pi)/4 of (sin(x)+cos(x)) with respect to x |
|
| 68007 |
Evaluate the Limit |
limit as x approaches infinity of x/(x^2-1) |
|
| 68008 |
Find Where Increasing/Decreasing |
f(x)=(x^2)/(x^2+3) |
|
| 68009 |
Find the Second Derivative |
f(x)=ax^2+bx+c |
|
| 68010 |
Find the Derivative - d/dt |
(tsin(t))/(1+t) |
|
| 68011 |
Evaluate the Integral |
integral from 0 to 12 of 3 square root of x+4 with respect to x |
|
| 68012 |
Find dy/dx |
y = natural log of sin(x) |
|
| 68013 |
Find dx/dy |
(x^2)/(a^2)+(y^2)/(b^2)=1 |
|
| 68014 |
Find dy/dx |
x^2y-4x^3+16=0 |
|
| 68015 |
Find the Derivative - d/dx |
d/(dx)(3/(x^6)-1/(x^4)+5) |
|
| 68016 |
Find dy/dx |
e^(xy)+x^2-y^2=10 |
|
| 68017 |
Find dR/dM |
R=M^2(C/2-M/3) |
|
| 68018 |
Evaluate the Limit |
limit as x approaches 0.2 from the left of (5x-1)/(|5x^3-x^2|) |
|
| 68019 |
Find the Derivative - d/dx |
d/(dx)(12 natural log of x) |
|
| 68020 |
Find the Derivative - d/dx |
y=1/(2 square root of x) |
|
| 68021 |
Find the Derivative - d/dx |
y=x^2sec(x) |
|
| 68022 |
Find the Derivative - d/dy |
x square root of y |
|
| 68023 |
Find dy/dx |
xy=8 |
|
| 68024 |
Find dy/dx |
y=x^(3x) |
|
| 68025 |
Find the Domain and Range |
f(x)=-|x|+3 if x<=-2; 4x+1 if x>-2 |
|
| 68026 |
Evaluate the Integral |
integral from 0 to 3 of (3x^2-4x+1) with respect to x |
|
| 68027 |
Find dx/dy |
x^2-6xy+y^2=6 |
|
| 68028 |
Find the Derivative - d/dx |
d/(dx)( natural log of xe^x) |
|
| 68029 |
Evaluate the Integral |
integral of (12y^2)/(4y^3+1) with respect to y |
|
| 68030 |
Find the Derivative - d/dx |
y=3/2x^9-5/(x^2)+4x |
|
| 68031 |
Determine if Continuous |
f(x)=-10+x^2 if -4<=x<4; -x+10 if x>=4 |
|
| 68032 |
Evaluate the Integral |
e^( integral of -1/x with respect to x) |
|
| 68033 |
Find dx/dy |
4x^2+9y^2=36 |
|
| 68034 |
Evaluate the Limit |
limit as x approaches infinity of ((1-2x)^3)/((x-1)(2x^2+x+1)) |
|
| 68035 |
Find dy/dx |
y=( natural log of x)/(x^7) |
|
| 68036 |
Evaluate the Limit |
limit as x approaches infinity of square root of (18x^2-3x+2)/(2x^2+5) |
|
| 68037 |
Find the Derivative - d/dx |
y = square root of 2x+2 square root of x |
|
| 68038 |
Integrate Using Trig Substitution |
integral of (x^2)/( square root of 16-x^2) with respect to x |
|
| 68039 |
Evaluate the Integral |
integral of csch(x) with respect to x |
|
| 68040 |
Find the Derivative - d/dx |
xf(x) |
|
| 68041 |
Evaluate the Integral |
integral from 1 to infinity of 1/(x^2+x) with respect to x |
|
| 68042 |
Evaluate the Limit |
limit as x approaches 3 of (x^4-18x^2+81)/((x-3)^2) |
|
| 68043 |
Evaluate the Integral |
integral of 1/(x square root of x^2+4) with respect to x |
|
| 68044 |
Evaluate the Limit |
limit as h approaches 0 of ((2+h)^3+2(2+h)-(2)^3-2*2)/h |
|
| 68045 |
Evaluate the Integral |
integral of (2-x) with respect to x |
|
| 68046 |
Solve the Differential Equation |
(dy)/(dx)=e^(3x+2y) |
|
| 68047 |
Find dy/dx |
y=8^x |
|
| 68048 |
Find the Derivative - d/dx |
y = square root of a^2-x^2 |
|
| 68049 |
Evaluate the Integral |
integral from -1 to 1 of (1-|x|) with respect to x |
|
| 68050 |
Solve the Differential Equation |
(dy)/(dx)=sin(5x) |
|
| 68051 |
Find Where Increasing/Decreasing |
f(x)=( natural log of x)/x |
|
| 68052 |
Find the Derivative - d/dA |
AB |
|
| 68053 |
Find the Derivative - d/dx |
x/(1-x^3) |
|
| 68054 |
Find dy/dx |
y = fifth root of x |
|
| 68055 |
Evaluate the Integral |
integral of 2x(x^2+4)^(1/2) with respect to x |
|
| 68056 |
Find the Antiderivative |
sin(x)^4 |
|
| 68057 |
Integrate Using Trig Substitution |
integral of ( square root of x^2-25)/x with respect to x |
|
| 68058 |
Evaluate the Limit |
limit as x approaches 0 of (cos(x)-1)/(sin(x)^2) |
|
| 68059 |
Find the Derivative - d/dx |
d/(dx)(x^(5/3)) |
|
| 68060 |
Find the Derivative - d/dθ |
1+cos(theta) |
|
| 68061 |
Integrate Using u-Substitution |
integral of (1+1/x)^3(1/(x^2)) with respect to x |
|
| 68062 |
Find the Derivative - d/dx |
1/( square root of 1+x^2) |
|
| 68063 |
Find dy/dx |
y = square root of 2x |
|
| 68064 |
Find the Concavity |
f(x)=7x^4-4x^2-8x-5 |
|
| 68065 |
Evaluate Using L'Hospital's Rule |
limit as x approaches 0 from the right of tan(9x)^x |
|
| 68066 |
Evaluate the Integral |
integral from -1 to 2 of (f(x)+6x) with respect to x=25 |
|
| 68067 |
Evaluate the Limit |
limit as x approaches 4 of (3x)/((x-2)(x+2)) |
|
| 68068 |
Find dy/dx |
y = cube root of 1+7x |
|
| 68069 |
Evaluate the Limit |
limit as h approaches 0 of ( cube root of x+h- cube root of x)/h |
|
| 68070 |
Find the Derivative - d/dx |
y=(3x^2-x-2)/(3x^2) |
|
| 68071 |
Find dy/dx |
x+3y^(1/3)=y |
|
| 68072 |
Find the Second Derivative |
f(x)=5 |
|
| 68073 |
Determine if Continuous |
f(x)=-10+x^2 if -4<=x<4; 12-x if x>=4 |
|
| 68074 |
Find dp/dR |
p=(V^2R)/((R+r)^2) |
|
| 68075 |
Evaluate the Integral |
integral of (14x+2)(7x^2+2x)^4 with respect to x |
|
| 68076 |
Find dy/dx |
e^y=x |
|
| 68077 |
Find dy/dx |
y=x square root of 1-x^2 |
|
| 68078 |
Find dy/dx |
y = square root of 3-x^2 |
|
| 68079 |
Find dy/dx |
y=cos(x)^3 |
|
| 68080 |
Find the Area Under the Curve |
y=x^2 |
|
| 68081 |
Find the Second Derivative |
(d^2)/(dx^2)(sec(x)) |
|
| 68082 |
Find the Derivative - d/dx |
d/(dx)(-4sin(x)+9x) |
|
| 68083 |
Evaluate the Limit |
limit as x approaches -3 of (6-3x)(3/5x^-1) |
|
| 68084 |
Find the Maximum/Minimum Value |
f(x)=(x-2)(x-3)^2 |
|
| 68085 |
Find dy/dx |
xsin(y)+ysin(x)=2 |
|
| 68086 |
Find the Derivative - d/dx |
y=e^x-tan(x) |
|
| 68087 |
Find the Maximum/Minimum Value |
f(x) = cube root of x |
|
| 68088 |
Find the Maximum/Minimum Value |
y = square root of x |
|
| 68089 |
Find Where Increasing/Decreasing |
f(x)=(x^2+x+1)/(x+1) |
|
| 68090 |
Find dy/dx |
y=sec(x) |
|
| 68091 |
Find dy/dx |
y=x^2sin(2x) |
|
| 68092 |
Find the Derivative - d/dx |
sin(-x) |
|
| 68093 |
Evaluate the Limit |
limit as x approaches 0 from the right of arctan( natural log of x) |
|
| 68094 |
Find dy/dx |
y=xe^(2x) |
|
| 68095 |
Evaluate the Limit |
limit as x approaches negative infinity of (3+2^x)/(4-5^x) |
|
| 68096 |
Evaluate the Limit |
limit as x approaches pi/4 of (sin(x)-cos(x))/(1-tan(x)) |
|
| 68097 |
Find dy/dx |
sin(x)=e^y |
|
| 68098 |
Find the Derivative - d/dx |
(e^x)/2 |
|
| 68099 |
Evaluate the Integral |
integral of (5x^2-3)(2x) with respect to x |
|
| 68100 |
Evaluate the Integral |
integral of (1+ square root of x+x)/x with respect to x |
|