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Popular Calculus Problems
(\partial)/(\partial x)(y^4+5xy^3)
\frac{\partial\:}{\partial\:x}(y^{4}+5xy^{3})
derivative of cos(5x-3)
\frac{d}{dx}(\cos(5x-3))
simplify (-2x)/((x^2-1)^2)
simplify\:\frac{-2x}{(x^{2}-1)^{2}}
integral of (4e^x)/(e^{2x)+4e^x+4}
\int\:\frac{4e^{x}}{e^{2x}+4e^{x}+4}dx
(dy)/(dt)-1/2 y=ty^{-1}
\frac{dy}{dt}-\frac{1}{2}y=ty^{-1}
integral of e^{-0.12x}
\int\:e^{-0.12x}dx
integral of 1/(z^2)
\int\:\frac{1}{z^{2}}dz
derivative of f(x)=-5e^{-5x+2}
derivative\:f(x)=-5e^{-5x+2}
sum from n=2 to infinity of 1/(n^{1/2)}
\sum\:_{n=2}^{\infty\:}\frac{1}{n^{\frac{1}{2}}}
(\partial)/(\partial x)(x^5y^3)
\frac{\partial\:}{\partial\:x}(x^{5}y^{3})
tangent of f(x)=3e^x+2x,(0,3)
tangent\:f(x)=3e^{x}+2x,(0,3)
y^'=((2x^4+y^4))/(xy^3)
y^{\prime\:}=\frac{(2x^{4}+y^{4})}{xy^{3}}
integral from 1 to 2 of (5ln(x))/(x^2)
\int\:_{1}^{2}\frac{5\ln(x)}{x^{2}}dx
(\partial)/(\partial x)(sqrt(t))
\frac{\partial\:}{\partial\:x}(\sqrt{t})
derivative of ((3x+1)/(tan(x)))
\frac{d}{dx}(\frac{(3x+1)}{\tan(x)})
laplacetransform 2x
laplacetransform\:2x
derivative of f(x)= x/(7-sqrt(x))
derivative\:f(x)=\frac{x}{7-\sqrt{x}}
limit as h approaches 0 of 5h^2+8h-12
\lim\:_{h\to\:0}(5h^{2}+8h-12)
integral from-5 to 2 of (x^2+3x-10)
\int\:_{-5}^{2}(x^{2}+3x-10)dx
inverse oflaplace 1/(s^2+4s+5)
inverselaplace\:\frac{1}{s^{2}+4s+5}
integral of 1/(sqrt(1+t^2))
\int\:\frac{1}{\sqrt{1+t^{2}}}dt
derivative of-sec(x)+2sec^3(x)
derivative\:-\sec(x)+2\sec^{3}(x)
tangent of x/(x^2+25)
tangent\:\frac{x}{x^{2}+25}
derivative of arctan(ax)
\frac{d}{dx}(\arctan(ax))
integral of (2x^{-3})
\int\:(2x^{-3})dx
derivative of ((x^2-1(x+1))/(x^2-2x+1))
\frac{d}{dx}(\frac{(x^{2}-1)(x+1)}{x^{2}-2x+1})
integral of (e^x)/((1+e^x)^2)
\int\:\frac{e^{x}}{(1+e^{x})^{2}}dx
area 4x,4x-x^2,0,2
area\:4x,4x-x^{2},0,2
derivative of (x^3/6+1/(2x))
\frac{d}{dx}(\frac{x^{3}}{6}+\frac{1}{2x})
derivative of f(x)=-21x-3
derivative\:f(x)=-21x-3
y^'=3+e^{-5t}
y^{\prime\:}=3+e^{-5t}
(dy)/(dx)=e^{x-y},y(ln(3))=ln(5)
\frac{dy}{dx}=e^{x-y},y(\ln(3))=\ln(5)
(\partial)/(\partial y)(0.5x^2+y^2-3x+2y-5)
\frac{\partial\:}{\partial\:y}(0.5x^{2}+y^{2}-3x+2y-5)
simplify-5
simplify\:-5
derivative of ln(ax+b)
\frac{d}{dx}(\ln(ax+b))
(\partial)/(\partial x)((0.9x)^{1/2})
\frac{\partial\:}{\partial\:x}((0.9x)^{\frac{1}{2}})
derivative of 4e^x+1
derivative\:4e^{x}+1
f(t)=cos(3t)
f(t)=\cos(3t)
(\partial}{\partial z}(e^{\frac{xy)/z})
\frac{\partial\:}{\partial\:z}(e^{\frac{xy}{z}})
integral of ((xsin(x)+cos(x)))/(x^2)
\int\:\frac{(x\sin(x)+\cos(x))}{x^{2}}dx
x*(dy)/(dx)+2y=3x
x\cdot\:\frac{dy}{dx}+2y=3x
y^'=x+7y
y^{\prime\:}=x+7y
integral of (cos(8x))/(1+sin^2(8x))
\int\:\frac{\cos(8x)}{1+\sin^{2}(8x)}dx
integral of x/(sqrt(1+3x^2))
\int\:\frac{x}{\sqrt{1+3x^{2}}}dx
d/(dy)(sqrt(x^2+4xy+y^6)-8)
\frac{d}{dy}(\sqrt{x^{2}+4xy+y^{6}}-8)
derivative of x^3+6x^2+6x
\frac{d}{dx}(x^{3}+6x^{2}+6x)
f(x)=sqrt(2-5x^2)
f(x)=\sqrt{2-5x^{2}}
inverse oflaplace (3s)/((s+2)(s-4))
inverselaplace\:\frac{3s}{(s+2)(s-4)}
area x=5y^2,x=2+3y^2
area\:x=5y^{2},x=2+3y^{2}
(d^2)/(dx^2)((2t-1)/(t^4))
\frac{d^{2}}{dx^{2}}(\frac{2t-1}{t^{4}})
integral from-1 to 1 of (1-x^2)^2
\int\:_{-1}^{1}(1-x^{2})^{2}dx
(\partial)/(\partial x)(5/(sqrt(x)))
\frac{\partial\:}{\partial\:x}(\frac{5}{\sqrt{x}})
derivative of e^{2x}*2
derivative\:e^{2x}\cdot\:2
integral of 1/(1+cosh(x))
\int\:\frac{1}{1+\cosh(x)}dx
derivative of f(x)=log_{3}(2x^2+4x+3)
derivative\:f(x)=\log_{3}(2x^{2}+4x+3)
(\partial)/(\partial y)(5x^3y^6)
\frac{\partial\:}{\partial\:y}(5x^{3}y^{6})
(y^'+0.3334y)/((20.004x+6000))=20
\frac{y^{\prime\:}+0.3334y}{(20.004x+6000)}=20
2xy+x^3=x(dy)/(dx)
2xy+x^{3}=x\frac{dy}{dx}
taylor f(x)=x^3-3(x)^2+4(x)+5
taylor\:f(x)=x^{3}-3(x)^{2}+4(x)+5
tangent of (1+x)cos(x),\at x=0
tangent\:(1+x)\cos(x),\at\:x=0
area 9x-x^2,2x
area\:9x-x^{2},2x
derivative of x(x^2+9)
derivative\:x(x^{2}+9)
(\partial)/(\partial x)(sin(xe^{x^2y}))
\frac{\partial\:}{\partial\:x}(\sin(xe^{x^{2}y}))
(\partial)/(\partial x)(ln(x^4+y^2)-z)
\frac{\partial\:}{\partial\:x}(\ln(x^{4}+y^{2})-z)
tangent of 2sin(x)+sin^2(x)
tangent\:2\sin(x)+\sin^{2}(x)
derivative of 3x^2-21x
derivative\:3x^{2}-21x
inverse oflaplace (1-3s)/(s^2+8s+21)
inverselaplace\:\frac{1-3s}{s^{2}+8s+21}
integral of xsin(x/4)
\int\:x\sin(\frac{x}{4})dx
integral of (-1)^x
\int\:(-1)^{x}dx
limit as x approaches-2 of (x-4)^2
\lim\:_{x\to\:-2}((x-4)^{2})
derivative of 6x+4/3
\frac{d}{dx}(6x+\frac{4}{3})
derivative of y=x^7
derivative\:y=x^{7}
limit as n approaches infinity of 1-1/n
\lim\:_{n\to\:\infty\:}(1-\frac{1}{n})
area cos(x)-sin(x),x=0,y=0
area\:\cos(x)-\sin(x),x=0,y=0
(\partial)/(\partial x)(y/x+x/y)
\frac{\partial\:}{\partial\:x}(\frac{y}{x}+\frac{x}{y})
derivative of (7x^2-6x+4/(3x+2))
\frac{d}{dx}(\frac{7x^{2}-6x+4}{3x+2})
integral of (6x+2y)
\int\:(6x+2y)dy
limit as x approaches 1 of x^{1/((1-x))}
\lim\:_{x\to\:1}(x^{\frac{1}{(1-x)}})
derivative of 6/((x^2+x+1^2))
\frac{d}{dx}(\frac{6}{(x^{2}+x+1)^{2}})
derivative of f(x)=5-x
derivative\:f(x)=5-x
limit as x approaches 3-of ln(1/(3-x))
\lim\:_{x\to\:3-}(\ln(\frac{1}{3-x}))
derivative of |x-5|+1
derivative\:\left|x-5\right|+1
laplacetransform-4sin(3t)
laplacetransform\:-4\sin(3t)
derivative of (4x^2-6xe^x)
\frac{d}{dx}((4x^{2}-6x)e^{x})
2x^2y^{''}+(y^')^3=2xy^'
2x^{2}y^{\prime\:\prime\:}+(y^{\prime\:})^{3}=2xy^{\prime\:}
(dy)/(dx)=-(2x^2+y)/(x^2y-x)
\frac{dy}{dx}=-\frac{2x^{2}+y}{x^{2}y-x}
d/(dy)((y^{3/2})/3-y^{1/2})
\frac{d}{dy}(\frac{y^{\frac{3}{2}}}{3}-y^{\frac{1}{2}})
integral of (x^2)/(sqrt(x^3+3600))
\int\:\frac{x^{2}}{\sqrt{x^{3}+3600}}dx
sum from n=1 to infinity of cos(28)
\sum\:_{n=1}^{\infty\:}\cos(28)
y^'=e^{x+2y}
y^{\prime\:}=e^{x+2y}
7y^{''}+14y^'-21y=0
7y^{\prime\:\prime\:}+14y^{\prime\:}-21y=0
limit as x approaches 0 of (x-2)/(x^2-4)
\lim\:_{x\to\:0}(\frac{x-2}{x^{2}-4})
(\partial)/(\partial x)(x^3z-yx^2+z^2)
\frac{\partial\:}{\partial\:x}(x^{3}z-yx^{2}+z^{2})
limit as x approaches 3-of e^{x/(3-x)}
\lim\:_{x\to\:3-}(e^{\frac{x}{3-x}})
limit as x approaches-0.01 of (e^x-1)/x
\lim\:_{x\to\:-0.01}(\frac{e^{x}-1}{x})
(d^2y)/(dx^2)+y=0
\frac{d^{2}y}{dx^{2}}+y=0
derivative of y=xarcsin(x)+sqrt(1-x^2)
derivative\:y=x\arcsin(x)+\sqrt{1-x^{2}}
(dy)/(dx)=y+e^xy^2
\frac{dy}{dx}=y+e^{x}y^{2}
laplacetransform te^{6t}sin(3t)
laplacetransform\:te^{6t}\sin(3t)
derivative of-1/7 (x^{-7}-x^{14})
derivative\:-\frac{1}{7}(x^{-7}-x^{14})
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