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Problemas populares

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Problemas populares de Cálculo

derivative (x^2-6x-1)/((x-3)^2)	derivative\:\frac{x^{2}-6x-1}{(x-3)^{2}}
límite cuando x tiende a 1 de [2f(x)+g(x)]	\lim\:_{x\to\:1}([2f(x)+g(x)])
(\partial}{\partial x}(\frac{e^x+e^y)/2)	\frac{\partial\:}{\partial\:x}(\frac{e^{x}+e^{y}}{2})
tangent y=(((x+2))/((x-2)^2))	tangent\:y=(\frac{(x+2)}{(x-2)^{2}})
integral de (-1)/((x-1)^2)	\int\:\frac{-1}{(x-1)^{2}}dx
y^{''}+6y^'+9=e^{4t},y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+6y^{\prime\:}+9=e^{4t},y(0)=0,y^{\prime\:}(0)=0
(dy}{dx}=\frac{sqrt(1-y^2))/x	\frac{dy}{dx}=\frac{\sqrt{1-y^{2}}}{x}
integral de (18-12x)/((4x-1)(x-4))	\int\:\frac{18-12x}{(4x-1)(x-4)}dx
integral de u^5-6u^4-u^2+4/3	\int\:u^{5}-6u^{4}-u^{2}+\frac{4}{3}du
f(x)=ln(x)-x	f(x)=\ln(x)-x
límite cuando x tiende a-infinity de 0	\lim\:_{x\to\:-\infty\:}(0)
integral de sec^2(x)-1	\int\:\sec^{2}(x)-1dx
derivative y= x/(x+1)	derivative\:y=\frac{x}{x+1}
límite cuando x tiende a-9+de (x+8)/(x+9)	\lim\:_{x\to\:-9+}(\frac{x+8}{x+9})
integral de 1/(4x^2+4^2)	\int\:\frac{1}{4x^{2}+4^{2}}dx
derivative f(x)=sin(5)e^{-5x}	derivative\:f(x)=\sin(5)e^{-5x}
límite cuando x tiende a 0 de 1/(x-1)	\lim\:_{x\to\:0}(\frac{1}{x-1})
integral de 1/(2-y)	\int\:\frac{1}{2-y}dy
integral de 2/((x-1))	\int\:\frac{2}{(x-1)}dx
límite cuando x tiende a 0-de sin(2x)	\lim\:_{x\to\:0-}(\sin(2x))
serie de k=0 a infinity de-5(3/2)^{k+2}	\sum\:_{k=0}^{\infty\:}-5(\frac{3}{2})^{k+2}
integral de (8+3x-x^2)/((2x+3)(x+2)^2)	\int\:\frac{8+3x-x^{2}}{(2x+3)(x+2)^{2}}dx
derivada de 3^{2x^2+3x-1}	\frac{d}{dx}(3^{2x^{2}+3x-1})
e^{-y}sin(x)-y^'cos^2(x)=0	e^{-y}\sin(x)-y^{\prime\:}\cos^{2}(x)=0
derivada de-0.8sin(x+cos(2x))	\frac{d}{dx}(-0.8\sin(x)+\cos(2x))
y^'=y(xy^5+3)	y^{\prime\:}=y(xy^{5}+3)
límite cuando x tiende a 8 de 500x-6x^2	\lim\:_{x\to\:8}(500x-6x^{2})
límite cuando x tiende a 4-de x/(x-4)	\lim\:_{x\to\:4-}(\frac{x}{x-4})
límite cuando x tiende a-3 de x^3-2x^2+x+7	\lim\:_{x\to\:-3}(x^{3}-2x^{2}+x+7)
derivative y=3ln(ln(x))	derivative\:y=3\ln(\ln(x))
integral de e^{x/(50)}	\int\:e^{\frac{x}{50}}dx
derivada de (3x^2/(2x+4))	\frac{d}{dx}(\frac{3x^{2}}{2x+4})
(\partial)/(\partial y)((x^2+y^2)^{1/3})	\frac{\partial\:}{\partial\:y}((x^{2}+y^{2})^{\frac{1}{3}})
y^'-y=2te^{2t},y(0)=1	y^{\prime\:}-y=2te^{2t},y(0)=1
simplificar sin(xy)	simplify\:\sin(xy)
integral de (5/x-2x^3)	\int\:(\frac{5}{x}-2x^{3})dx
(dy)/(dx)-e^{5x+y}=0	\frac{dy}{dx}-e^{5x+y}=0
derivada de (-15/(sqrt(x)))	\frac{d}{dx}(\frac{-15}{\sqrt{x}})
(\partial)/(\partial x)(sin(xyz))	\frac{\partial\:}{\partial\:x}(\sin(xyz))
derivada de 2sin(-x)	\frac{d}{dx}(2\sin(-x))
derivative 34(3p+1)^{-2/5}	derivative\:34(3p+1)^{-\frac{2}{5}}
integral de (2x)/(sqrt(x^2+1))	\int\:\frac{2x}{\sqrt{x^{2}+1}}dx
inversalaplace 1/(s(s^2+25))	inverselaplace\:\frac{1}{s(s^{2}+25)}
tangent y=4tan(x),\at x= pi/3	tangent\:y=4\tan(x),\at\:x=\frac{π}{3}
derivada de (h(x)/x)x=2	\frac{d}{dx}(\frac{h(x)}{x})x=2
derivative f(x)= 1/(1+x^2)	derivative\:f(x)=\frac{1}{1+x^{2}}
integral de (4x-16)/(sqrt(x^2-8x+5))	\int\:\frac{4x-16}{\sqrt{x^{2}-8x+5}}dx
integral de (3y)/(y^2+z^2)	\int\:\frac{3y}{y^{2}+z^{2}}dy
derivative (x-1)^{12}	derivative\:(x-1)^{12}
integral de sqrt(x-x^2)	\int\:\sqrt{x-x^{2}}dx
81y^{''}-18y^'+y=0	81y^{\prime\:\prime\:}-18y^{\prime\:}+y=0
integral de x^{-2}sin(1/x)	\int\:x^{-2}\sin(\frac{1}{x})dx
(dP)/(dt)=Psqrt(t),P(1)=2	\frac{dP}{dt}=P\sqrt{t},P(1)=2
(d^2)/(dx^2)((-5x+6)^5)	\frac{d^{2}}{dx^{2}}((-5x+6)^{5})
t*y^'+y=2t	t\cdot\:y^{\prime\:}+y=2t
y^{''}+y^'+3y=0	y^{\prime\:\prime\:}+y^{\prime\:}+3y=0
xy^'+(x+1)y=x	xy^{\prime\:}+(x+1)y=x
derivative f(x)=(2x^2-x+1)*(x^2+2x+3)	derivative\:f(x)=(2x^{2}-x+1)\cdot\:(x^{2}+2x+3)
integral de 1/((x-1)(x+4))	\int\:\frac{1}{(x-1)(x+4)}dx
derivative x^2*arctan(x)	derivative\:x^{2}\cdot\:\arctan(x)
límite cuando x tiende a 0+de 5x^{sin(x)}	\lim\:_{x\to\:0+}(5x^{\sin(x)})
taylor cos(x) pi/2	taylor\:\cos(x)\frac{π}{2}
y^'=ay+b	y^{\prime\:}=ay+b
integral de 0 a 1/2 de 4/(1+4x^2)	\int\:_{0}^{\frac{1}{2}}\frac{4}{1+4x^{2}}dx
integral de 1/(2(x^2+1))	\int\:\frac{1}{2(x^{2}+1)}dx
integral de 1/(x^2)x'	\int\:\frac{1}{x^{2}}x\prime\:dx
(5x-3)y^{''}+y^'=0	(5x-3)y^{\prime\:\prime\:}+y^{\prime\:}=0
inversalaplace 6	inverselaplace\:6
taylor 1/x ,x=2	taylor\:\frac{1}{x},x=2
límite cuando x tiende a-6+de (-9x)/(x+6)	\lim\:_{x\to\:-6+}(\frac{-9x}{x+6})
(d^2)/(dx^2)(9/(\sqrt[3]{x+1)})	\frac{d^{2}}{dx^{2}}(\frac{9}{\sqrt[3]{x+1}})
integral de 2y^2x-3	\int\:2y^{2}x-3
integral de e^{6x}cos(7x)	\int\:e^{6x}\cos(7x)dx
límite cuando x tiende a 1-de x^2	\lim\:_{x\to\:1-}(x^{2})
derivative sqrt(x)(x-3)^2	derivative\:\sqrt{x}(x-3)^{2}
integral de (x/(sqrt(1+x^2)))	\int\:(\frac{x}{\sqrt{1+x^{2}}})dx
derivada de 3x(sin(x+cos(x)))	\frac{d}{dx}(3x(\sin(x)+\cos(x)))
límite cuando x tiende a 5 de (3x+3)/(x-5)	\lim\:_{x\to\:5}(\frac{3x+3}{x-5})
derivative x^{x-1}	derivative\:x^{x-1}
(\partial)/(\partial x)(xln(z^6+x^4))	\frac{\partial\:}{\partial\:x}(x\ln(z^{6}+x^{4}))
derivative y=(6-xe^x)/(x+e^x)	derivative\:y=\frac{6-xe^{x}}{x+e^{x}}
laplacetransformación 2e^{(5t-2)}	laplacetransform\:2\cdot\:e^{(5\cdot\:t-2)}
integral de 1/7 a 5 de 10xln(7x)	\int\:_{\frac{1}{7}}^{5}10x\ln(7x)dx
(\partial)/(\partial x)(sin(y/(x+y)))	\frac{\partial\:}{\partial\:x}(\sin(\frac{y}{x+y}))
derivada de (cot(x)/(x^2))	\frac{d}{dx}(\frac{\cot(x)}{x^{2}})
(dy)/(dx)+1/x y=7x^2	\frac{dy}{dx}+\frac{1}{x}y=7x^{2}
derivada de 6/(x^2+1)	\frac{d}{dx}(\frac{6}{x^{2}+1})
d/(dt)(1-3t)	\frac{d}{dt}(1-3t)
maclaurin xe^{-x^2}	maclaurin\:xe^{-x^{2}}
integral de (3x)/((2x^2+1)^3)	\int\:\frac{3x}{(2x^{2}+1)^{3}}dx
serie de k=0 a infinity de x^k	\sum\:_{k=0}^{\infty\:}x^{k}
derivada de cos(xe^x)	\frac{d}{dx}(\cos(x)e^{x})
taylor x^2-4,0	taylor\:x^{2}-4,0
derivative y=x(5^{-3x})	derivative\:y=x(5^{-3x})
derivada de (3e^x/(5e^x+4))	\frac{d}{dx}(\frac{3e^{x}}{5e^{x}+4})
derivada de sin^{n-1}(x)	\frac{d}{dx}(\sin^{n-1}(x))
tangent f(x)=-3/(x^2-4),(1,1)	tangent\:f(x)=-\frac{3}{x^{2}-4},(1,1)
límite cuando x tiende a 0 de x^6sin(6/x)	\lim\:_{x\to\:0}(x^{6}\sin(\frac{6}{x}))
(dy)/(dt)=cos(t)	\frac{dy}{dt}=\cos(t)
derivada de ln(1+ln(x))	\frac{d}{dx}(\ln(1+\ln(x)))

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