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Popular Calculus Problems
(\partial)/(\partial y)(8x^{5y})
\frac{\partial\:}{\partial\:y}(8x^{5y})
(dy)/(dt)=2y(1-y/2)
\frac{dy}{dt}=2y(1-\frac{y}{2})
derivative of (2-x/(x+1))
\frac{d}{dx}(\frac{2-x}{x+1})
(dy)/(dx)=x+y+1
\frac{dy}{dx}=x+y+1
derivative of f(x)=(x+1)^3
derivative\:f(x)=(x+1)^{3}
((x^2}{100}+8+\frac{20)/x)^'
(\frac{x^{2}}{100}+8+\frac{20}{x})^{\prime\:}
integral from 0 to 20 of 2t
\int\:_{0}^{20}2tdt
3y^{''}+6y^'+2y=0
3y^{\prime\:\prime\:}+6y^{\prime\:}+2y=0
integral from 1 to e of (ln(x))/(x^3)
\int\:_{1}^{e}\frac{\ln(x)}{x^{3}}dx
derivative of f(θ)=3tan(θ)
derivative\:f(θ)=3\tan(θ)
limit as x approaches+(-3) of 5
\lim\:_{x\to\:+(-3)}(5)
derivative of ln(sin(x/2))
\frac{d}{dx}(\ln(\sin(\frac{x}{2})))
integral of (3^{5x-2})
\int\:(3^{5x-2})dx
integral from-1 to 3 of 3xe^{2x^2-5}
\int\:_{-1}^{3}3xe^{2x^{2}-5}dx
limit as x approaches 1 of (\sqrt[3]{x+7}-2)/(x^3-1)
\lim\:_{x\to\:1}(\frac{\sqrt[3]{x+7}-2}{x^{3}-1})
integral of sqrt(x)+x
\int\:\sqrt{x}+xdx
derivative of ((6x^2-5)/(4-x))^3
derivative\:(\frac{6x^{2}-5}{4-x})^{3}
limit as x approaches 0 of (x-5)/(x-1)
\lim\:_{x\to\:0}(\frac{x-5}{x-1})
tangent of y=(sqrt(5))^x
tangent\:y=(\sqrt{5})^{x}
limit as x approaches 0-of x^2cos(1/x)
\lim\:_{x\to\:0-}(x^{2}\cos(\frac{1}{x}))
(\partial)/(\partial x)(x^2z+y,x+y,y+z^2)
\frac{\partial\:}{\partial\:x}(x^{2}z+y,x+y,y+z^{2})
4x^2(dy)/(dx)=(dy)/(dx)+9xe^{-y}
4x^{2}\frac{dy}{dx}=\frac{dy}{dx}+9xe^{-y}
derivative of x^2-2x+3
derivative\:x^{2}-2x+3
tangent of f(x)=(3x)/(x^2-6),3,\at x=3
tangent\:f(x)=\frac{3x}{x^{2}-6},3,\at\:x=3
derivative of (8sqrt(5))/(15)x^{3/2}-2
derivative\:\frac{8\sqrt{5}}{15}x^{\frac{3}{2}}-2
integral of cos^3(7x)sin^{-2}(7x)
\int\:\cos^{3}(7x)\sin^{-2}(7x)dx
x^'=-x
x^{\prime\:}=-x
integral of (-7x)
\int\:(-7x)dx
integral from-2 to 3 of 5/(x^4)
\int\:_{-2}^{3}\frac{5}{x^{4}}dx
integral of \sqrt[3]{x}e^{\sqrt[3]{8x^4}}
\int\:\sqrt[3]{x}e^{\sqrt[3]{8x^{4}}}dx
sum from n=1 to infinity of 3
\sum\:_{n=1}^{\infty\:}3
integral of (x-sin(x))
\int\:(x-\sin(x))dx
integral of (x^2+9x)cos(x)
\int\:(x^{2}+9x)\cos(x)dx
derivative of f(x)=(3x-2)^2(5x+4)
derivative\:f(x)=(3x-2)^{2}(5x+4)
limit as x approaches infinity+of (x^3)/(1e^{x/4)}
\lim\:_{x\to\:\infty\:+}(\frac{x^{3}}{1e^{\frac{x}{4}}})
(\partial)/(\partial x)(x^{ey})
\frac{\partial\:}{\partial\:x}(x^{ey})
integral of 1/(x^2+3x+4)
\int\:\frac{1}{x^{2}+3x+4}dx
integral of 1/(81e^{-7x)+e^{7x}}
\int\:\frac{1}{81e^{-7x}+e^{7x}}dx
integral of ((x^2-4))/(x(x^2+4))
\int\:\frac{(x^{2}-4)}{x(x^{2}+4)}dx
(\partial)/(\partial x)(y^2z)
\frac{\partial\:}{\partial\:x}(y^{2}z)
integral from 0.6 to 1.5 of (48+8y)/(81)
\int\:_{0.6}^{1.5}\frac{48+8y}{81}dy
limit as x approaches infinity+of 65.4-65.4e^{(-(7x)/(2180))}
\lim\:_{x\to\:\infty\:+}(65.4-65.4e^{(-\frac{7x}{2180})})
slope ofintercept (-2,-4),(2,5)
slopeintercept\:(-2,-4),(2,5)
integral of x^3*cos(x^4+2)+x^{-1}
\int\:x^{3}\cdot\:\cos(x^{4}+2)+x^{-1}dx
d/(dy)(yln(x))
\frac{d}{dy}(y\ln(x))
integral of 7θsec^2(θ)
\int\:7θ\sec^{2}(θ)dθ
integral of 4x-(x^3)/3
\int\:4x-\frac{x^{3}}{3}dx
integral of (3-2x-4x^2)(1+4x)
\int\:(3-2x-4x^{2})(1+4x)dx
integral of 10xsin(x)
\int\:10x\sin(x)dx
tangent of y=5+4x^2
tangent\:y=5+4x^{2}
(\partial)/(\partial x)(12x^2y^3)
\frac{\partial\:}{\partial\:x}(12x^{2}y^{3})
limit as x approaches 0+of (e^x+x)^{3/x}
\lim\:_{x\to\:0+}((e^{x}+x)^{\frac{3}{x}})
integral of 1/(x^2+2x+3)
\int\:\frac{1}{x^{2}+2x+3}dx
(dy)/(dx)= x/(1+2y)
\frac{dy}{dx}=\frac{x}{1+2y}
tangent of f(x)=(x^3)/3+2x^2+13x-5
tangent\:f(x)=\frac{x^{3}}{3}+2x^{2}+13x-5
sum from n=1 to infinity of n/(ln(2n))
\sum\:_{n=1}^{\infty\:}\frac{n}{\ln(2n)}
tangent of x^3-2x+2,\at x=3,y=21
tangent\:x^{3}-2x+2,\at\:x=3,y=21
(\partial}{\partial x}(\frac{8x+5y)/z)
\frac{\partial\:}{\partial\:x}(\frac{8x+5y}{z})
(\partial)/(\partial x)(2(y/x)^{0.5})
\frac{\partial\:}{\partial\:x}(2(\frac{y}{x})^{0.5})
-y/((x^2+y^2))dx+x/(x^2+y^2)dy=0
-\frac{y}{(x^{2}+y^{2})}dx+\frac{x}{x^{2}+y^{2}}dy=0
integral of (x-1)(x-4)
\int\:(x-1)(x-4)dx
integral of (22)/(xsqrt(1+2x))
\int\:\frac{22}{x\sqrt{1+2x}}dx
(d^2)/(dx^2)(sqrt({r)(x)}+\sqrt[9]{{r}(x)})
\frac{d^{2}}{dx^{2}}(\sqrt{{r}(x)}+\sqrt[9]{{r}(x)})
derivative of x+4/(x+3)
\frac{d}{dx}(x+\frac{4}{x+3})
derivative of (tan(x)^x)
\frac{d}{dx}((\tan(x))^{x})
(dy)/(dx)=(cos(6x))/(e^{6y)}
\frac{dy}{dx}=\frac{\cos(6x)}{e^{6y}}
(dy)/(dx)=(3x)/(y+x^2y)
\frac{dy}{dx}=\frac{3x}{y+x^{2}y}
(\partial)/(\partial x)((x-y)/(x^2+y^2))
\frac{\partial\:}{\partial\:x}(\frac{x-y}{x^{2}+y^{2}})
integral of (1-x)/(x^2+3x+2)
\int\:\frac{1-x}{x^{2}+3x+2}dx
derivative of xe^xsin(2x)
\frac{d}{dx}(xe^{x}\sin(2x))
integral of (5x^4+3x^3-2)
\int\:(5x^{4}+3x^{3}-2)dx
integral of (sqrt(cos(θ))-2sin(θ))^2
\int\:(\sqrt{\cos(θ)}-2\sin(θ))^{2}dθ
(x-y+2)dx-(x-y)dy=0
(x-y+2)dx-(x-y)dy=0
limit as x approaches 0 of (1+2x)^{5/x}
\lim\:_{x\to\:0}((1+2x)^{\frac{5}{x}})
tangent of 2x^3+2xy+2y^2=38,(-1,-4)
tangent\:2x^{3}+2xy+2y^{2}=38,(-1,-4)
limit as x approaches 0 of (sin(x))/x-1
\lim\:_{x\to\:0}(\frac{\sin(x)}{x}-1)
integral from 2 to 5 of 1/(sqrt(x-2))
\int\:_{2}^{5}\frac{1}{\sqrt{x-2}}dx
derivative of f(x)=(2x^3+5x)(x-3)(x+2)
derivative\:f(x)=(2x^{3}+5x)(x-3)(x+2)
limit as x approaches pi of 3cot(x)
\lim\:_{x\to\:π}(3\cot(x))
integral of (15e^{5r})/(e^{5r)+2}
\int\:\frac{15e^{5r}}{e^{5r}+2}dr
integral of x^2*ln(3x)
\int\:x^{2}\cdot\:\ln(3x)dx
tangent of y=-3cos(x),\at x=(3pi)/4
tangent\:y=-3\cos(x),\at\:x=\frac{3π}{4}
integral of (x+1)^3
\int\:(x+1)^{3}dx
derivative of (2x/(x^2-1))
\frac{d}{dx}(\frac{2x}{x^{2}-1})
limit as x approaches 0-of-x
\lim\:_{x\to\:0-}(-x)
derivative of f(x)=e^{1-x}
derivative\:f(x)=e^{1-x}
(\partial)/(\partial x)(6e^{xy+3})
\frac{\partial\:}{\partial\:x}(6e^{xy+3})
sum from n=0 to infinity of 1/(n^{1/2)}
\sum\:_{n=0}^{\infty\:}\frac{1}{n^{\frac{1}{2}}}
derivative of (x^2)/(3(2-x))
derivative\:\frac{x^{2}}{3(2-x)}
integral from 0 to 0.5 of 8x(0.5-x)
\int\:_{0}^{0.5}8x(0.5-x)dx
tangent of y=-2sin(x),\at x=(3pi)/4
tangent\:y=-2\sin(x),\at\:x=\frac{3π}{4}
limit as x approaches 0 of (sin(5x))/x
\lim\:_{x\to\:0}(\frac{\sin(5x)}{x})
(dy)/(dx)= 2/(x^2)
\frac{dy}{dx}=\frac{2}{x^{2}}
derivative of 2xsin(xcos(x))
\frac{d}{dx}(2x\sin(x)\cos(x))
limit as x approaches 0 of 1/(9-3^{1/x)}
\lim\:_{x\to\:0}(\frac{1}{9-3^{\frac{1}{x}}})
derivative of cos(8θ)
derivative\:\cos(8θ)
integral of-1/9 cos(3x)
\int\:-\frac{1}{9}\cos(3x)dx
(\partial)/(\partial x)(tan(2x)sin(2x))
\frac{\partial\:}{\partial\:x}(\tan(2x)\sin(2x))
derivative of f(x)=sqrt(4x^2-5x)
derivative\:f(x)=\sqrt{4x^{2}-5x}
(\partial)/(\partial z)(cos(xz))
\frac{\partial\:}{\partial\:z}(\cos(xz))
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