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Problemas populares

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Problemas populares de Cálculo

derivative x/2+2/x	derivative\:\frac{x}{2}+\frac{2}{x}
y^'= y/(x^2)	y^{\prime\:}=\frac{y}{x^{2}}
derivada de (x^2-2x/((x-1)^2))	\frac{d}{dx}(\frac{x^{2}-2x}{(x-1)^{2}})
derivada de ((x-2/(2x+1))^9)	\frac{d}{dx}((\frac{x-2}{2x+1})^{9})
límite cuando x tiende a 3 de (x-3)/(x-3)	\lim\:_{x\to\:3}(\frac{x-3}{x-3})
integral de ln(3x+5)	\int\:\ln(3x+5)dx
derivative f(x)=2x^2-5x+3	derivative\:f(x)=2x^{2}-5x+3
derivada de (ax^2+bx+ce^{(-x)/2})	\frac{d}{dx}((ax^{2}+bx+c)e^{\frac{-x}{2}})
derivative 1/(3s^2)-5/(4s^3)	derivative\:\frac{1}{3s^{2}}-\frac{5}{4s^{3}}
derivada de arcsin(2x+arccos(2x))	\frac{d}{dx}(\arcsin(2x)+\arccos(2x))
y^{''}-y^'-6y=2e^{2t}-t^2-2t+3	y^{\prime\:\prime\:}-y^{\prime\:}-6y=2e^{2t}-t^{2}-2t+3
límite cuando x tiende a 6 de (x^2+2x-48)/(3x^2-20x+12)	\lim\:_{x\to\:6}(\frac{x^{2}+2x-48}{3x^{2}-20x+12})
simplificar (-ln(1+6x))/x	simplify\:\frac{-\ln(1+6x)}{x}
derivada de ln(x^2+x+1)	\frac{d}{dx}(\ln(x^{2}+x+1))
implicit 3x^3+2y^3=12	implicit\:3x^{3}+2y^{3}=12
(dy)/(dx)=(x+6)/(x+1)	\frac{dy}{dx}=\frac{x+6}{x+1}
integral de (1+x^6)/(x^2)	\int\:\frac{1+x^{6}}{x^{2}}dx
integral de cosh(x)+5/(sin(x))	\int\:\cosh(x)+\frac{5}{\sin(x)}dx
y^{''}+16y=0,y(0)=2,y^'(0)=0	y^{\prime\:\prime\:}+16y=0,y(0)=2,y^{\prime\:}(0)=0
integral de 7e^{7x}	\int\:7e^{7x}dx
límite cuando x tiende a 1 de x^2-3x+6	\lim\:_{x\to\:1}(x^{2}-3x+6)
integral de sin(x)sin(3x)sin(5x)	\int\:\sin(x)\sin(3x)\sin(5x)dx
derivada de (2x^5-27/(x^4))	\frac{d}{dx}(\frac{2x^{5}-27}{x^{4}})
integral de 30(1+sqrt(x))	\int\:30(1+\sqrt{x})dx
y^{''}+4y= x/(x-2)	y^{\prime\:\prime\:}+4y=\frac{x}{x-2}
(\partial)/(\partial x)((x+y)*e^{y^2})	\frac{\partial\:}{\partial\:x}((x+y)\cdot\:e^{y^{2}})
derivative 2cos(2x)	derivative\:2\cos(2x)
derivative f(x)=(ln(x^2))/x	derivative\:f(x)=\frac{\ln(x^{2})}{x}
derivative f(x)=e^{-5x}cos(3x)	derivative\:f(x)=e^{-5x}\cos(3x)
derivada de sin(x+sin(2x))	\frac{d}{dx}(\sin(x+\sin(2x)))
integral de-1 a 2 de (x+2)-(x^2)	\int\:_{-1}^{2}(x+2)-(x^{2})dx
límite cuando x tiende a 0 de (x+5)/x	\lim\:_{x\to\:0}(\frac{x+5}{x})
(\partial)/(\partial x)(3x^3-y^2+4xy)	\frac{\partial\:}{\partial\:x}(3x^{3}-y^{2}+4xy)
y^{''}+y^'+y=t+e^{2t}	y^{\prime\:\prime\:}+y^{\prime\:}+y=t+e^{2t}
y^'+2y=1+e^{3x}	y^{\prime\:}+2y=1+e^{3x}
área 4x,x,x^3	area\:4x,x,x^{3}
(\partial)/(\partial x)((x^2+3y^2)^7)	\frac{\partial\:}{\partial\:x}((x^{2}+3y^{2})^{7})
(\partial)/(\partial x)(x^4y^2-x^3y)	\frac{\partial\:}{\partial\:x}(x^{4}y^{2}-x^{3}y)
integral de 16x(8x^2+2)^2	\int\:16x(8x^{2}+2)^{2}dx
y^'+8y=4	y^{\prime\:}+8y=4
taylor e^{4x},0	taylor\:e^{4x},0
integral de 2x^3-5x^2+3x+1	\int\:2x^{3}-5x^{2}+3x+1dx
(\partial)/(\partial x)(ln(e^x+xy^3))	\frac{\partial\:}{\partial\:x}(\ln(e^{x}+xy^{3}))
integral de-infinity a 0 de 8^r	\int\:_{-\infty\:}^{0}8^{r}dr
derivada de 3sqrt(x^2+y^2)	\frac{d}{dx}(3\sqrt{x^{2}+y^{2}})
(\partial)/(\partial x)(-7x^2e^{6x})	\frac{\partial\:}{\partial\:x}(-7x^{2}e^{6x})
derivada de (cos(3x)^x)	\frac{d}{dx}((\cos(3x))^{x})
área x=3y^2,x=0,[0,2]	area\:x=3y^{2},x=0,[0,2]
integral de (5x^4+6)/((x^5+6x)^2)	\int\:\frac{5x^{4}+6}{(x^{5}+6x)^{2}}dx
(dy)/(dx)=x^2+x	\frac{dy}{dx}=x^{2}+x
derivada de x^4sin(x)	\frac{d}{dx}(x^{4}\sin(x))
integral de 2sin^5(x)cos^{-3/2}(x)	\int\:2\sin^{5}(x)\cos^{-\frac{3}{2}}(x)dx
integral de x/(2+2x)	\int\:\frac{x}{2+2x}dx
límite cuando x tiende a 0 de (e^x-1)^x	\lim\:_{x\to\:0}((e^{x}-1)^{x})
(\partial)/(\partial x)(x^{-1}y^2+xy^2+3xy)	\frac{\partial\:}{\partial\:x}(x^{-1}y^{2}+xy^{2}+3xy)
integral de (x^2-x+5)/x	\int\:\frac{x^{2}-x+5}{x}dx
serie de n=1 a infinity de n/(n+5)	\sum\:_{n=1}^{\infty\:}\frac{n}{n+5}
derivada de-4/3 sin(x-5/3 cos(x))	\frac{d}{dx}(-\frac{4}{3}\sin(x)-\frac{5}{3}\cos(x))
límite cuando x tiende a+3 de x^2+4	\lim\:_{x\to\:+3}(x^{2}+4)
(\partial)/(\partial x)((ax+by)/((cx+dy)))	\frac{\partial\:}{\partial\:x}(\frac{ax+by}{(cx+dy)})
derivada de tan(arctan(x))	\frac{d}{dx}(\tan(\arctan(x)))
derivada de \|x^2-9\|	\frac{d}{dx}(\left\|x^{2}-9\right\|)
derivada de sin(xln(4x))	\frac{d}{dx}(\sin(x)\ln(4x))
d/(dy)(e^{x^2+y^2})	\frac{d}{dy}(e^{x^{2}+y^{2}})
derivada de (dy/(dx))=4y	\frac{d}{dx}(\frac{dy}{dx})=4y
integral de 3csc(x)	\int\:3\csc(x)dx
tangent x^2-9,\at x=2	tangent\:x^{2}-9,\at\:x=2
f^'(x)=3	f^{\prime\:}(x)=3
derivada de 1.1+18.9x^2	\frac{d}{dx}(1.1+18.9x^{2})
límite cuando x tiende a 0+de (x-1)/x	\lim\:_{x\to\:0+}(\frac{x-1}{x})
integral de ((cos(x)-1))/x	\int\:\frac{(\cos(x)-1)}{x}dx
integral de 1/(-\frac{1){x^2}+2x}	\int\:\frac{1}{-\frac{1}{x^{2}}+2x}dx
normal y=5x^3+6x^2-3x,(-1,4)	normal\:y=5x^{3}+6x^{2}-3x,(-1,4)
serie de t=0 a infinity de 1/(1.01^t)	\sum\:_{t=0}^{\infty\:}\frac{1}{1.01^{t}}
derivative y=\sqrt[4]{8x^2-9}	derivative\:y=\sqrt[4]{8x^{2}-9}
(\partial)/(\partial x)(z^{xy}+(xz)^y)	\frac{\partial\:}{\partial\:x}(z^{xy}+(xz)^{y})
derivada de (x^3-2x^2+3x+1^{11})	\frac{d}{dx}((x^{3}-2x^{2}+3x+1)^{11})
(\partial)/(\partial y)(x/((x^2+y^2)^2))	\frac{\partial\:}{\partial\:y}(\frac{x}{(x^{2}+y^{2})^{2}})
2(dy)/(dt)+y=0,y(0)=-3	2\frac{dy}{dt}+y=0,y(0)=-3
derivative ln(2)*2^{x^2+2}x	derivative\:\ln(2)\cdot\:2^{x^{2}+2}x
pendiente (0.4)(6)	slope\:(0.4)(6)
límite cuando x tiende a 2+de-6x^2+14	\lim\:_{x\to\:2+}(-6x^{2}+14)
derivada de ln(sec(5x+tan(5x)))	\frac{d}{dx}(\ln(\sec(5x)+\tan(5x)))
integral de e^{sqrt(x)}*1/(2sqrt(x))	\int\:e^{\sqrt{x}}\cdot\:\frac{1}{2\sqrt{x}}dx
integral de-infinity a 6 de re^{r/3}	\int\:_{-\infty\:}^{6}re^{\frac{r}{3}}dr
derivada de (x^2+x-2/(2x^2-2))	\frac{d}{dx}(\frac{x^{2}+x-2}{2x^{2}-2})
f(x)=x^{5x}	f(x)=x^{5x}
integral de u^{-3}(4-u^3+u^6)	\int\:u^{-3}(4-u^{3}+u^{6})du
derivative e^x(x^3-3x^2+6x-6)	derivative\:e^{x}(x^{3}-3x^{2}+6x-6)
(\partial)/(\partial z)((x-z)/(y+z))	\frac{\partial\:}{\partial\:z}(\frac{x-z}{y+z})
taylor cos(x) pi/4	taylor\:\cos(x)\frac{π}{4}
límite cuando x tiende a infinity de tan(x)	\lim\:_{x\to\:\infty\:}(\tan(x))
derivada de 3/((x+1^2))	\frac{d}{dx}(\frac{3}{(x+1)^{2}})
y^{''}=13(y^')^2	y^{\prime\:\prime\:}=13(y^{\prime\:})^{2}
integral de (13)/(x(x^2+25))	\int\:\frac{13}{x(x^{2}+25)}dx
integral de 3 a 11 de 1/(sqrt(2x+3))	\int\:_{3}^{11}\frac{1}{\sqrt{2x+3}}dx
taylor x^{9/6}	taylor\:x^{\frac{9}{6}}
derivative f(x)=-10x^2+1760x-50000	derivative\:f(x)=-10x^{2}+1760x-50000
derivative f(t)=9t-2t^2	derivative\:f(t)=9t-2t^{2}
y^{''}-2y^'+y=3e^tcos(t)	y^{\prime\:\prime\:}-2y^{\prime\:}+y=3e^{t}\cos(t)

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