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Problemas populares

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Problemas populares de Cálculo

derivada de x^3os(x)	\frac{d}{dx}(x^{3}os(x))
serie de n=7 a infinity de (n^2)/(e^n)	\sum\:_{n=7}^{\infty\:}\frac{n^{2}}{e^{n}}
derivada de 1/(x^3-1/x+x^2)	\frac{d}{dx}(\frac{1}{x^{3}}-\frac{1}{x}+x^{2})
derivada de 1/(sqrt(x^2+y^2))	\frac{d}{dx}(\frac{1}{\sqrt{x^{2}+y^{2}}})
(\partial)/(\partial x)(ln(9x^2+y^2+5))	\frac{\partial\:}{\partial\:x}(\ln(9x^{2}+y^{2}+5))
(\partial)/(\partial t)(1-t)	\frac{\partial\:}{\partial\:t}(1-t)
límite cuando x tiende a 7 de x/(sqrt(x-3))	\lim\:_{x\to\:7}(\frac{x}{\sqrt{x-3}})
límite cuando x tiende a 3 de (sin(5x))/x	\lim\:_{x\to\:3}(\frac{\sin(5x)}{x})
dy=(4x-6)dx	dy=(4x-6)dx
(dy)/(dx)+1/3 y= 1/3 (1-2x)y^4	\frac{dy}{dx}+\frac{1}{3}y=\frac{1}{3}(1-2x)y^{4}
x^4(dy)/(dx)-2x^3y=4x^6-3x^2	x^{4}\frac{dy}{dx}-2x^{3}y=4x^{6}-3x^{2}
integral de (sqrt(x^2-196))/x	\int\:\frac{\sqrt{x^{2}-196}}{x}dx
integral de 1/(x^2-a^2)	\int\:\frac{1}{x^{2}-a^{2}}dx
límite cuando x tiende a 0+de arctan(x)	\lim\:_{x\to\:0+}(\arctan(x))
derivada de 2cos(x-3sin(x)+4)	\frac{d}{dx}(2\cos(x)-3\sin(x)+4)
integral de arctan(6t)	\int\:\arctan(6t)dt
implicit (dy)/(dx),(xy)^{1/2}=1+x^2y	implicit\:\frac{dy}{dx},(xy)^{\frac{1}{2}}=1+x^{2}y
y^{''}+4y^'+4y=(ln(t))/t e^{-2t}	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=\frac{\ln(t)}{t}e^{-2t}
derivative (e^x)^2	derivative\:(e^{x})^{2}
integral de (27)/(w^2sqrt(9-w^2))	\int\:\frac{27}{w^{2}\sqrt{9-w^{2}}}dw
integral de ((e^{-x}+6)^2)/(e^x)	\int\:\frac{(e^{-x}+6)^{2}}{e^{x}}dx
derivada de 5^xln(x)	\frac{d}{dx}(5^{x}\ln(x))
(2xy-3)dx+(x^2+4y)dy=0	(2xy-3)dx+(x^{2}+4y)dy=0
integral de 0 a ln(18) de xe^x	\int\:_{0}^{\ln(18)}xe^{x}dx
derivada de e^{ix}+e^{-ix}	\frac{d}{dx}(e^{ix}+e^{-ix})
integral de 6e^{-3x}	\int\:6e^{-3x}dx
integral de arccot(15y)	\int\:\arccot(15y)dy
(dy)/(dx)=(y+4x)^2	\frac{dy}{dx}=(y+4x)^{2}
integral de 0 a 1 de pi^9	\int\:_{0}^{1}π^{9}
derivada de (3x^2-x-4(-x^2+2))	\frac{d}{dx}((3x^{2}-x-4)(-x^{2}+2))
derivada de cosh(8x+1)	\frac{d}{dx}(\cosh(8x+1))
límite cuando h tiende a 0.001 de (e^h-1)/h	\lim\:_{h\to\:0.001}(\frac{e^{h}-1}{h})
integral de 2sin^2(2x)	\int\:2\sin^{2}(2x)dx
límite cuando h tiende a 0 de (sqrt(13x-h)-sqrt(13x))/h	\lim\:_{h\to\:0}(\frac{\sqrt{13x-h}-\sqrt{13x}}{h})
integral de (x^3)/((1-16x^2)^{3/2)}	\int\:\frac{x^{3}}{(1-16x^{2})^{\frac{3}{2}}}dx
límite cuando x tiende a 0 de 10x	\lim\:_{x\to\:0}(10x)
derivada de sqrt(sec(2x))	\frac{d}{dx}(\sqrt{\sec(2x)})
y^{''}-2y^'+y=(e^x)/x	y^{\prime\:\prime\:}-2y^{\prime\:}+y=\frac{e^{x}}{x}
derivada de (xsqrt(x^2+1)/((2x+1)^2))	\frac{d}{dx}(\frac{x\sqrt{x^{2}+1}}{(2x+1)^{2}})
derivada de x^{-6cos(x})	\frac{d}{dx}(x^{-6\cos(x)})
(\partial)/(\partial x)(sin(x-y)+(x-y))	\frac{\partial\:}{\partial\:x}(\sin(x-y)+(x-y))
integral de e^{x/l}	\int\:e^{\frac{x}{l}}dx
integral de (x^{4/3}-3x^{5/2})	\int\:(x^{\frac{4}{3}}-3x^{\frac{5}{2}})dx
integral de 0 a 2pi de sin^2(xco)s^2x	\int\:_{0}^{2π}\sin^{2}(xco)s^{2}x
(\partial)/(\partial x)(x^2+y^2-2y+1)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}-2y+1)
(\partial)/(\partial x)(y^2+2x^2-y)	\frac{\partial\:}{\partial\:x}(y^{2}+2x^{2}-y)
integral de 1 a 2 de 1/(x(ln(x))^p)	\int\:_{1}^{2}\frac{1}{x(\ln(x))^{p}}dx
derivative f(x)=ln(3xe^{-x})	derivative\:f(x)=\ln(3xe^{-x})
derivative (f(x))/(x^5)	derivative\:\frac{f(x)}{x^{5}}
(\partial)/(\partial x)(sin(x^2+y^3))	\frac{\partial\:}{\partial\:x}(\sin(x^{2}+y^{3}))
integral de-1/(4-x)	\int\:-\frac{1}{4-x}dx
maclaurin (x^2+4)sin(5x)	maclaurin\:(x^{2}+4)\sin(5x)
límite cuando θ tiende a 0+de s/d	\lim\:_{θ\to\:0+}(\frac{s}{d})
límite cuando x tiende a 1+de x^{5/(1-x)}	\lim\:_{x\to\:1+}(x^{\frac{5}{1-x}})
(y+1)dx=2xydy	(y+1)dx=2xydy
derivative y=(4x-3)^{1/2}	derivative\:y=(4x-3)^{\frac{1}{2}}
límite cuando x tiende a infinity de 2-2	\lim\:_{x\to\:\infty\:}(2-2)
integral de-1 a 1 de 1/(x^{8/5)}	\int\:_{-1}^{1}\frac{1}{x^{\frac{8}{5}}}dx
integral de 2 a 7 de 5	\int\:_{2}^{7}5dx
integral de (4x+5)^{-2}	\int\:(4x+5)^{-2}dx
integral de cos(3x)x	\int\:\cos(3x)xdx
paridad y=x^{x^x}	parity\:y=x^{x^{x}}
integral de 0 a t de 1	\int\:_{0}^{t}1dt
derivative 1/(4pi(3+2)^2)(-11)	derivative\:\frac{1}{4π(3+2)^{2}}(-11)
límite cuando x tiende a 1-de 1	\lim\:_{x\to\:1-}(1)
derivada de 5/(\sqrt[3]{x})	\frac{d}{dx}(\frac{5}{\sqrt[3]{x}})
x^3y^'=e^y	x^{3}y^{\prime\:}=e^{y}
integral de 5y	\int\:5ydy
derivada de ((2x+5^{3/2})/3)	\frac{d}{dx}(\frac{(2x+5)^{\frac{3}{2}}}{3})
integral de sec(x)tan(x)sin(sec(x))	\int\:\sec(x)\tan(x)\sin(\sec(x))dx
integral de (x-1)/((x-2)^2(x-3)^2)	\int\:\frac{x-1}{(x-2)^{2}(x-3)^{2}}dx
derivada de (x-1/(x+1))	\frac{d}{dx}(\frac{x-1}{x+1})
d/(d{x)}(({x)/y {z}}{{x}^2+{y}^2+{z}^2})	\frac{d}{d{x}}(\frac{{x}{y}{z}}{{x}^{2}+{y}^{2}+{z}^{2}})
límite cuando x tiende a 5 de-x^2+5x-8	\lim\:_{x\to\:5}(-x^{2}+5x-8)
integral de (cos^2(x)sin(2x))/2	\int\:\frac{\cos^{2}(x)\sin(2x)}{2}dx
integral de (ysin(x))	\int\:(y\sin(x))dx
pendiente (-3,-8),(4,6)	slope\:(-3,-8),(4,6)
integral de 0 a 0.2 de 8e^{-8x}	\int\:_{0}^{0.2}8e^{-8x}dx
integral de x(e^x+e^{x^2})	\int\:x(e^{x}+e^{x^{2}})dx
área 2x^2+11,0,-2,2	area\:2x^{2}+11,0,-2,2
tangent f(x)=x^3-2x+2,\at x=4	tangent\:f(x)=x^{3}-2x+2,\at\:x=4
derivada de ln(x+ln(x))	\frac{d}{dx}(\ln(x+\ln(x)))
derivada de 1-e^{-x/2}	\frac{d}{dx}(1-e^{-\frac{x}{2}})
pendiente 1/(x-5)	slope\:\frac{1}{x-5}
derivada de (3x+2^3)	\frac{d}{dx}((3x+2)^{3})
integral de 0 a 1 de 5ln(x)	\int\:_{0}^{1}5\ln(x)dx
taylor f(x)=x*e^{-x+1}	taylor\:f(x)=x\cdot\:e^{-x+1}
integral de 1 a e de 1/(x(x^2+1))	\int\:_{1}^{e}\frac{1}{x(x^{2}+1)}dx
(dy)/(dx)=y+xy^3	\frac{dy}{dx}=y+xy^{3}
derivative y=2csc(4x^4-2x+5)	derivative\:y=2\csc(4x^{4}-2x+5)
x^{''}+9x=0	x^{\prime\:\prime\:}+9x=0
serie de n=1 a infinity de 1/(1+n^2)	\sum\:_{n=1}^{\infty\:}\frac{1}{1+n^{2}}
(\partial)/(\partial x)(sqrt(2x^3+y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{2x^{3}+y^{2}})
d/(dz)(1/(1-z^{-1)})	\frac{d}{dz}(\frac{1}{1-z^{-1}})
d/(dy)(4x^2y^3-4)	\frac{d}{dy}(4\cdot\:x^{2}\cdot\:y^{3}-4)
derivative y=(t^2-7)^2	derivative\:y=(t^{2}-7)^{2}
(\partial)/(\partial x)(4cos(x))	\frac{\partial\:}{\partial\:x}(4\cos(x))
derivada de 8arcsin(x^4)	\frac{d}{dx}(8\arcsin(x^{4}))
(\partial)/(\partial x)(sqrt(4x^2+4y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{4x^{2}+4y^{2}})
y^'+5y=x	y^{\prime\:}+5y=x

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