Math Problem Solver - Calculus examples
Find the Maximum/Minimum Value
y=-4x^2
CalculusFind dy/dx
square root of xy=x-2y
CalculusFind the Derivative - d/dx
x^2e^x+2xe^x
CalculusFind dy/dx
x=csc(y)
CalculusFind dy/dx
y^2=x^3
CalculusIntegrate Using Trig Substitution
integral of ( square root of 9-x^2)/(x^2) with respect to x
CalculusFind dy/dx
y = square root of f(x)
CalculusEvaluate the Limit
limit as x approaches 3 of ( square root of x+6-x)/(x^3-3x^2)
CalculusFind the Derivative - d/dx
(sin(x))/(e^x)
CalculusEvaluate the Integral
integral of (2x-3x^2) with respect to x
CalculusFind the Derivative - d/dx
2pix
CalculusFind dy/dx
4x-x^2y+y^3=10
CalculusEvaluate the Limit
limit as x approaches -5 of 2^x-x
CalculusFind the Derivative - d/dx
d/(dx)e^(-x)
CalculusFind the Derivative - d/dx
(sin(x)+cos(x))/(e^x)
CalculusEvaluate the Integral
integral of (3/4x^4+3x^2+1) with respect to x
CalculusFind dy/dx
y=1/(x^3)
CalculusFind dx/dy
x^2-4xy+y^2=4
CalculusEvaluate the Integral
integral of (2/( square root of x)+2 square root of x) with respect to x
CalculusFind dy/dx
x^2+y^2=2xy
CalculusFind the Integral
-1/x
CalculusFind Where Increasing/Decreasing
f(x)=x/(x^2+9)
CalculusEvaluate the Limit
limit as x approaches infinity of (5x^4+x^2)/(2x^4-x^3-4)
CalculusEvaluate the Limit
limit as x approaches infinity of (3x-1)/( square root of x^2-6)
CalculusFind dy/dx
y = square root of 4x+2
CalculusDetermine if Continuous
f(x)=8 if x<-4; -10+x^2 if -4<=x<4; 2x-2 if x>=4
CalculusFind dy/dx
2x^2+y^2=4
CalculusFind dy/dx
y=2 square root of x
CalculusFind the Derivative - d/dx
d/(dx)(7cos(x)+3e^x)
CalculusFind dy/dx
x^2-y^2=25
CalculusFind the Antiderivative
1/(x^2-1)
CalculusFind the Derivative - d/dx
f(x)*g(x)
CalculusFind the Root Mean Square
y=x-2 , (2,7)
CalculusDetermine if Continuous
f(x)=x-3 if x<=-2; 4x+5 if x>-2
CalculusFind the Tangent Line at (-3√(3),1)
x^(2/3)+y^(2/3)=4 , (-3 square root of 3,1)
CalculusDetermine if Continuous
f(x)=x^2+1 if x<1; 2 if x=1; 7-5x if x>1
CalculusFind the Maximum/Minimum Value
y=(x-2)^2+3
CalculusEvaluate the Integral
integral from 0 to 2 of (4x+1)^3*4 with respect to x
CalculusFind the Derivative - d/dx
(x/(x+1))^5
CalculusEvaluate the Integral
integral of (x^-3+x^-2+x^-1) with respect to x
CalculusFind dy/dx
y=x^-3
CalculusFind dy/dx
sin(x+y)=3x-2y
CalculusFind dz/dx
z=e^(xy)
CalculusEvaluate the Integral
integral of (2e^x+4^x) with respect to x
CalculusFind dx/dy
x^3+y^3=1
CalculusFind the Derivative - d/dx
d/(dx)csc(x)
CalculusFind the Derivative - d/dx
y=3/4x
CalculusEvaluate the Limit
limit as x approaches infinity of (x+1)/(x^2+1)
CalculusIntegrate Using u-Substitution
integral of x square root of x+1 with respect to x
CalculusFind dy/dx
ysin(x^2)=xsin(y^2)
CalculusFind the Maximum/Minimum Value
f(x)=-x^4-x^3+3x^2+2x
CalculusFind the Tangent Line at (3π,0)
y=sin(sin(x)) , (3pi,0)
CalculusFind the Antiderivative
x^n
CalculusFind the Slope
f(x)=2x-5
CalculusFind dy/dt
y=tan( square root of 3t)
CalculusFind dx/dy
y=1/x
CalculusFind dy/dx
x^2+xy-y^2=1
CalculusFind the Derivative - d/dx
(2x)/(x^2+y^2)
CalculusFind dy/dx
y = square root of 1-x^2
CalculusFind the Domain and Range
f(x)=5x-2 if x<1; x-7 if x>=1
CalculusEvaluate the Integral
integral from 1 to 4 of (4x+ square root of x) with respect to x
CalculusFind Where Increasing/Decreasing
f(x)=(8-x)(x+1)^2
CalculusEvaluate the Limit
limit as x approaches infinity of (x^2-4)/(2+x-4x^2)
CalculusEvaluate the Integral
integral from 2 to 5 of (4-2x) with respect to x
CalculusFind the Derivative - d/dx
( square root of x)/(e^x)
CalculusFind the Linearization at a=π/3
f(x)=sin(x) , a=pi/3
CalculusFind the Derivative - d/dx
y=e^xcos(x)+sin(x)
CalculusFind dy/dx
y = cube root of 1+4x
CalculusFind dy/dx
y=arcsin(2x+1)
CalculusFind dy/dx
(y-3)^2=4(x-5)
CalculusFind dy/dx
x^3+2y^2-xy=2
CalculusEvaluate the Limit
limit as x approaches negative infinity of ( square root of 4x^2-3x)/(4x+5)
CalculusSolve the Differential Equation
(dy)/(dx)=5y
CalculusEvaluate the Limit
limit as h approaches 0 of (2h^3-5h^2+h)/(h^4-h^2)
CalculusFind dy/dx
y=x^(cos(x))
CalculusDetermine if Continuous
f(x)=(x^2-4)/(x-2) if x<2; ax^2-bx+3 if 2<=x<3; 2x-a+b if x>=3
CalculusIntegrate By Parts
integral of x^2e^(-x) with respect to x
CalculusFind dy/dx
y=x^7
CalculusEvaluate the Integral
integral from 0 to 1 of 1/(x^2-2x+2) with respect to x
CalculusFind the Derivative - d/dx
d/(dx)*2x
CalculusFind the Maximum/Minimum Value
P(x)=-2(x-3)(x-11)
CalculusEvaluate the Limit
limit as x approaches 0 from the left of 1/x-1/(|x|)
CalculusEvaluate the Limit
limit as t approaches 2 of ( square root of (t+4)(t-2)^4)/((3t-6)^2)
CalculusFind dy/dx
y=( natural log of x)/x
CalculusEvaluate the Integral
integral from 0 to 1 of (5x-1)^2*5 with respect to x
CalculusEvaluate the Limit
limit as x approaches infinity of (-4x^3+5x)/(2x^3+7)
CalculusFind the Derivative - d/dx
1/(x+y)
CalculusFind dy/dx
y = square root of x^2+4
CalculusFind dy/dx
x^(2/3)+y^(2/3)=1
CalculusIntegrate By Parts
integral of x^2e^(-2x) with respect to x
CalculusFind the Domain and Range
f(x)=-2x+3 if x<1; 3x-2 if x>=1
CalculusFind dy/dx
(x^2+4)y=8
CalculusEvaluate the Limit
limit as x approaches 3 of ( square root of x+6-x)/(x-3)
CalculusIntegrate Using u-Substitution
integral of tan(x) with respect to x
CalculusFind the Arc Length
x=(y^4)/8+1/(4y^2) , 1<=y<=2
CalculusEvaluate the Integral
integral of xy with respect to x
CalculusFind dy/dx
x^4+x^2y^2+y^3=5
CalculusFind dy/dx
y = square root of 2x+1
CalculusFind dy/dx
y = square root of x^2+9
CalculusFind dy/dx
x=cot(y)
Calculus