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Popular Calculus Problems
(d^2y)/(dx^2)=(dy)/(dx)
\frac{d^{2}y}{dx^{2}}=\frac{dy}{dx}
sum from n=1 to infinity}((-1)^{n-1 of)/(n!)
\sum\:_{n=1}^{\infty\:}\frac{(-1)^{n-1}}{n!}
derivative of (x^2-3x)/2
derivative\:\frac{x^{2}-3x}{2}
derivative of ln(x+sqrt(x^2+1))
derivative\:\ln(x+\sqrt{x^{2}+1})
limit as x approaches infinity of x/((ln(x))^3+2x)
\lim\:_{x\to\:\infty\:}(\frac{x}{(\ln(x))^{3}+2x})
2y(dy)/(dx)= x/(sqrt(x^2-16)),y(5)=2
2y\frac{dy}{dx}=\frac{x}{\sqrt{x^{2}-16}},y(5)=2
(dy)/(dx)=10e^{x-y}
\frac{dy}{dx}=10e^{x-y}
x^{''}=x
x^{\prime\:\prime\:}=x
(\partial)/(\partial y)(2e^yx)
\frac{\partial\:}{\partial\:y}(2e^{y}x)
inverse oflaplace (3*s)/(5s^2+125)
inverselaplace\:\frac{3\cdot\:s}{5s^{2}+125}
y^'+2xy=10x
y^{\prime\:}+2xy=10x
derivative of ((x+8/(x-8))^5)
\frac{d}{dx}((\frac{x+8}{x-8})^{5})
join 1+(a/(x^2))
join\:1+(\frac{a}{x^{2}})
limit as x approaches 0 of (f(x))/(x^2)
\lim\:_{x\to\:0}(\frac{f(x)}{x^{2}})
laplacetransform e^{-2t}t^2
laplacetransform\:e^{-2t}t^{2}
integral from 1 to infinity of x^2ln(x)
\int\:_{1}^{\infty\:}x^{2}\ln(x)dx
derivative of (3x^2/(1+x^3))
\frac{d}{dx}(\frac{3x^{2}}{1+x^{3}})
integral of 4x^2+9
\int\:4x^{2}+9dx
(\partial)/(\partial x)(x^3+x^2y)
\frac{\partial\:}{\partial\:x}(x^{3}+x^{2}y)
integral of (cos(3x))/(1+sin^2(3x))
\int\:\frac{\cos(3x)}{1+\sin^{2}(3x)}dx
limit as x approaches 0 of tan(2x)
\lim\:_{x\to\:0}(\tan(2x))
derivative of 3x+9
\frac{d}{dx}(3x+9)
slope of x-x^3
slope\:x-x^{3}
tangent of x^{1/3+y^{1/3}}=7
tangent\:x^{\frac{1}{3}+y^{\frac{1}{3}}}=7
limit as x approaches 1 of (-1)/x
\lim\:_{x\to\:1}(\frac{-1}{x})
limit as x approaches 0+of (x+1)^{In(x)}
\lim\:_{x\to\:0+}((x+1)^{In(x)})
derivative of (x^9-2)^3
derivative\:(x^{9}-2)^{3}
limit as x approaches 1 of 2-x
\lim\:_{x\to\:1}(2-x)
(\partial)/(\partial x)((2xy)/((x^2-y^2)^2))
\frac{\partial\:}{\partial\:x}(\frac{2xy}{(x^{2}-y^{2})^{2}})
y^'-3/x y=4x^3cos(2x)
y^{\prime\:}-\frac{3}{x}y=4x^{3}\cos(2x)
(x+1)(dy)/(dx)=x
(x+1)\frac{dy}{dx}=x
laplacetransform 3t^2+3t-2
laplacetransform\:3t^{2}+3t-2
integral of (ln(3x))/(x^3)
\int\:\frac{\ln(3x)}{x^{3}}dx
integral of 2x-3e^x
\int\:2x-3e^{x}dx
limit as t approaches 0 of (8^t-5^t)/t
\lim\:_{t\to\:0}(\frac{8^{t}-5^{t}}{t})
integral of (y^2)/(y+1)
\int\:\frac{y^{2}}{y+1}dy
derivative of sqrt(2)sec(x)
\frac{d}{dx}(\sqrt{2}\sec(x))
derivative of (3-8x/(x+4))
\frac{d}{dx}(\frac{3-8x}{x+4})
inverse oflaplace (s^3+s+6)/(s^4(s+2))
inverselaplace\:\frac{s^{3}+s+6}{s^{4}(s+2)}
integral from 7 to 8 of x/(x^2-3)
\int\:_{7}^{8}\frac{x}{x^{2}-3}dx
limit as x approaches 7+of 3x+5
\lim\:_{x\to\:7+}(3x+5)
derivative of sqrt(x)
derivative\:\sqrt{x}
(dy)/(dt)=2y-3e^{-t}
\frac{dy}{dt}=2y-3e^{-t}
limit as x approaches 0-of-2x^2+7x
\lim\:_{x\to\:0-}(-2x^{2}+7x)
tangent of y=x^4+6x^2-x,(1,6)
tangent\:y=x^{4}+6x^{2}-x,(1,6)
(\partial)/(\partial y)(y^x-ln(x^4y+7x))
\frac{\partial\:}{\partial\:y}(y^{x}-\ln(x^{4}y+7x))
integral of (6x)/(1-7x^2)
\int\:\frac{6x}{1-7x^{2}}dx
2xy^'+y=10sqrt(x)
2xy^{\prime\:}+y=10\sqrt{x}
integral of (x^3+1)^3
\int\:(x^{3}+1)^{3}dx
tangent of f(x)=x^2-2x+1
tangent\:f(x)=x^{2}-2x+1
limit as x approaches infinity of (x)^2
\lim\:_{x\to\:\infty\:}((x)^{2})
limit as x approaches 0 of x/2
\lim\:_{x\to\:0}(\frac{x}{2})
integral of 5x^2(2x^3+3)^4
\int\:5x^{2}(2x^{3}+3)^{4}dx
integral of ((ln(ln(x))))/x
\int\:\frac{(\ln(\ln(x)))}{x}dx
(\partial)/(\partial y)(ye^{-x})
\frac{\partial\:}{\partial\:y}(ye^{-x})
limit as x approaches-2 of x^2+5x+7
\lim\:_{x\to\:-2}(x^{2}+5x+7)
taylor 1/(x^2),5
taylor\:\frac{1}{x^{2}},5
derivative of-1/4 x^2
\frac{d}{dx}(-\frac{1}{4}x^{2})
tangent of f(x)= 1/x ,\at x=0.204
tangent\:f(x)=\frac{1}{x},\at\:x=0.204
integral of (u^2-1)/(u^2+1)
\int\:\frac{u^{2}-1}{u^{2}+1}du
tangent of f(x)=5e^x,\at x=3
tangent\:f(x)=5e^{x},\at\:x=3
derivative of (x^3/((x+2)^2))
\frac{d}{dx}(\frac{x^{3}}{(x+2)^{2}})
integral of 36(4x+4)^{(2)}-2sqrt((3x-1))
\int\:36(4x+4)^{(2)}-2\sqrt{(3x-1)}dx
integral of cos^{-1}(x)
\int\:\cos^{-1}(x)dx
tangent of x^2+9
tangent\:x^{2}+9
integral from 1 to 5 of (x^2+8)/(6x-x^2)
\int\:_{1}^{5}\frac{x^{2}+8}{6x-x^{2}}dx
derivative of ((x+1^2)/(x^2+1))
\frac{d}{dx}(\frac{(x+1)^{2}}{x^{2}+1})
derivative of 1/4 (e^{2x}+e^{-2x})
\frac{d}{dx}(\frac{1}{4}(e^{2x}+e^{-2x}))
derivative of (x^3-x^2+1/5)
\frac{d}{dx}(\frac{x^{3}-x^{2}+1}{5})
integral of 2/(sqrt(1+e^{2x))}
\int\:\frac{2}{\sqrt{1+e^{2x}}}dx
integral of ((3x^2-2))/(x(x+1)^3)
\int\:\frac{(3x^{2}-2)}{x(x+1)^{3}}dx
simplify log_{10}(((x+1)(x-8))/((x-1)(x+8)))
simplify\:\log_{10}(\frac{(x+1)(x-8)}{(x-1)(x+8)})
integral of 3^x+2/x
\int\:3^{x}+\frac{2}{x}dx
(\partial)/(\partial x)(e^{8xy})
\frac{\partial\:}{\partial\:x}(e^{8xy})
derivative of x^k
\frac{d}{dx}(x^{k})
limit as x approaches infinity of-1/3
\lim\:_{x\to\:\infty\:}(-\frac{1}{3})
derivative of ((x^2)/(2+x))
\frac{d}{dx}(\frac{(x^{2})}{2+x})
slope of 1/(x-4)
slope\:\frac{1}{x-4}
limit as x approaches 1+of 2/x-1/(ln(x))
\lim\:_{x\to\:1+}(\frac{2}{x}-\frac{1}{\ln(x)})
(\partial)/(\partial x)(2y*arctan(x/y))
\frac{\partial\:}{\partial\:x}(2y\cdot\:\arctan(\frac{x}{y}))
derivative of 6x+4
derivative\:6x+4
limit as x approaches 6 of-5x^2+6x+8
\lim\:_{x\to\:6}(-5x^{2}+6x+8)
integral of 5000(1-(100)/((x+10)^2))
\int\:5000(1-\frac{100}{(x+10)^{2}})dx
(\partial)/(\partial y)((9x^2)/(y^{1/3)})
\frac{\partial\:}{\partial\:y}(\frac{9x^{2}}{y^{\frac{1}{3}}})
derivative of f(x)=(x^2)/(1+8x)
derivative\:f(x)=\frac{x^{2}}{1+8x}
laplacetransform-5y
laplacetransform\:-5y
area 3(x^3-x),0
area\:3(x^{3}-x),0
derivative of 30
\frac{d}{dx}(30)
(dy)/(dx)=(((1+y)^2))/((1+x)^3)
\frac{dy}{dx}=\frac{((1+y)^{2})}{(1+x)^{3}}
integral of e^{-2x}cos(e^{-x})
\int\:e^{-2x}\cos(e^{-x})dx
(\partial)/(\partial x)(ln(x+y/(2x)))
\frac{\partial\:}{\partial\:x}(\ln(x+\frac{y}{2x}))
derivative of x^2+(2a^3/x)
\frac{d}{dx}(x^{2}+\frac{2a^{3}}{x})
limit as x approaches+3-of 3/(x^2-9)
\lim\:_{x\to\:+3-}(\frac{3}{x^{2}-9})
x^'=x
x^{\prime\:}=x
limit as x approaches 0+of sin(x)ln(x)
\lim\:_{x\to\:0+}(\sin(x)\ln(x))
derivative of (2x-8/(4x-3))
\frac{d}{dx}(\frac{2x-8}{4x-3})
derivative of (cos(4x)/x)
\frac{d}{dx}(\frac{\cos(4x)}{x})
y^{''}+9y^'=0,y(0)=1
y^{\prime\:\prime\:}+9y^{\prime\:}=0,y(0)=1
derivative of arctan(c/x)
\frac{d}{dx}(\arctan(\frac{c}{x}))
derivative of 16e^{-2x}
\frac{d}{dx}(16e^{-2x})
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