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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial y)(x^2*sin(2y))	\frac{\partial\:}{\partial\:y}(x^{2}\cdot\:\sin(2y))
derivative f(x)=sqrt(x)-\sqrt[3]{x}	derivative\:f(x)=\sqrt{x}-\sqrt[3]{x}
derivative f(x)=x^2+x-9	derivative\:f(x)=x^{2}+x-9
límite cuando x tiende a 1/8 de 1/x+x^{-1}	\lim\:_{x\to\:\frac{1}{8}}(\frac{1}{x}+x^{-1})
integral de 1/(t^2+9)	\int\:\frac{1}{t^{2}+9}dt
implicit (dy)/(dx),x^2+y^2=36	implicit\:\frac{dy}{dx},x^{2}+y^{2}=36
integral de (4x^3+x^2)(3x^4+x^3)^8	\int\:(4x^{3}+x^{2})(3x^{4}+x^{3})^{8}dx
integral de 1/(z^3sqrt(z^2-100))	\int\:\frac{1}{z^{3}\sqrt{z^{2}-100}}dz
(\partial)/(\partial x)(x^2y-3xy+xy^2)	\frac{\partial\:}{\partial\:x}(x^{2}y-3xy+xy^{2})
integral de ln^2(x^2)	\int\:\ln^{2}(x^{2})dx
integral de (2-1/x)ln(x)	\int\:(2-\frac{1}{x})\ln(x)dx
derivada de 10sin(x+10sqrt(3)cos(x))	\frac{d}{dx}(10\sin(x)+10\sqrt{3}\cos(x))
tangent y=9x-6sqrt(x),(1,3)	tangent\:y=9x-6\sqrt{x},(1,3)
límite cuando x tiende a 1 de x^4-1	\lim\:_{x\to\:1}(x^{4}-1)
integral de (x^5-x^4+4x^2-x)/(x^3+1)	\int\:\frac{x^{5}-x^{4}+4x^{2}-x}{x^{3}+1}dx
límite cuando x tiende a 0 de xcos(7/x)	\lim\:_{x\to\:0}(x\cos(\frac{7}{x}))
derivative (sqrt(x)+x)/(x^2)	derivative\:\frac{\sqrt{x}+x}{x^{2}}
derivada de ln(4+x)	\frac{d}{dx}(\ln(4+x))
integral de xe^x-e^x	\int\:xe^{x}-e^{x}dx
(dy)/(dx)=2xy+6/(sqrt(pi))	\frac{dy}{dx}=2xy+\frac{6}{\sqrt{π}}
integral de 1/(x^4sqrt(9-x^2))	\int\:\frac{1}{x^{4}\sqrt{9-x^{2}}}dx
serie de n=1 a infinity de 1-3/(7^n)	\sum\:_{n=1}^{\infty\:}1-\frac{3}{7^{n}}
(dy)/(dt)= 1/2 t	\frac{dy}{dt}=\frac{1}{2}t
y^{''}+6y^'+9y=12e^{-3x}	y^{\prime\:\prime\:}+6y^{\prime\:}+9y=12e^{-3x}
integral de 50sin(120pi)x	\int\:50\sin(120π)xdx
x*dy=dx,y(-1)=3	x\cdot\:dy=dx,y(-1)=3
derivada de 7^xlog_{7}(x)	\frac{d}{dx}(7^{x}\log_{7}(x))
(\partial)/(\partial x)(8x^2-7x+4)	\frac{\partial\:}{\partial\:x}(8x^{2}-7x+4)
desarrollar 2e^{-x}x-e^{-x}(x^2-8)	expand\:2e^{-x}x-e^{-x}(x^{2}-8)
integral de xsin(y)	\int\:x\sin(y)dy
integral de (-2)/(x^3-x)	\int\:\frac{-2}{x^{3}-x}dx
integral de 1 a b de 1/((x+4)^2)	\int\:_{1}^{b}\frac{1}{(x+4)^{2}}dx
integral de 1/6 sin(6t)	\int\:\frac{1}{6}\sin(6t)dt
f(x)=sqrt(3+x^2)	f(x)=\sqrt{3+x^{2}}
tangent y=sqrt(x^2-x+2),\at x=2	tangent\:y=\sqrt{x^{2}-x+2},\at\:x=2
derivada de (x+3^2)	\frac{d}{dx}((x+3)^{2})
límite cuando x tiende a 0 de xsin(8/x)	\lim\:_{x\to\:0}(x\sin(\frac{8}{x}))
(6+x)(dy)/(dx)=3y	(6+x)\frac{dy}{dx}=3y
derivada de 4/(x+2)	\frac{d}{dx}(\frac{4}{x+2})
(\partial)/(\partial x)(sqrt(4x^2+y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{4x^{2}+y^{2}})
integral de (2-u)/(u^2+2u+3)	\int\:\frac{2-u}{u^{2}+2u+3}du
límite cuando x tiende a 4-de 2x-5	\lim\:_{x\to\:4-}(2x-5)
derivative f(1)=x^6+4e^x	derivative\:f(1)=x^{6}+4e^{x}
derivada de \sqrt[4]{3x^5}	\frac{d}{dx}(\sqrt[4]{3x^{5}})
derivada de sin^2(cos(2x))	\frac{d}{dx}(\sin^{2}(\cos(2x)))
integral de 2x^3(x^4-3)^5	\int\:2x^{3}(x^{4}-3)^{5}dx
pendiente (x^2)/(x+9)	slope\:\frac{x^{2}}{x+9}
derivada de (x^3-\sqrt[4]{x^3}/(2x))	\frac{d}{dx}(\frac{x^{3}-\sqrt[4]{x^{3}}}{2x})
serie de n=1 a infinity de 9^nx^nn!	\sum\:_{n=1}^{\infty\:}9^{n}x^{n}n!
límite cuando x tiende a 100 de 7	\lim\:_{x\to\:100}(7)
(\partial)/(\partial x)(e^{ax+by})	\frac{\partial\:}{\partial\:x}(e^{ax+by})
derivada de e^x+e^{xx}	\frac{d}{dx}(e^{x}+e^{xx})
derivada de 0.5x^3+1.5	\frac{d}{dx}(0.5x^{3}+1.5)
integral de k	\int\:k
laplacetransformación 3e^{4t-5}	laplacetransform\:3e^{4t-5}
derivada de 20e^{-x}	\frac{d}{dx}(20e^{-x})
derivada de (2x+x^2/((1+x)^2))	\frac{d}{dx}(\frac{2x+x^{2}}{(1+x)^{2}})
y^'+35y=7	y^{\prime\:}+35y=7
derivative-2t^2-8t+9	derivative\:-2t^{2}-8t+9
límite cuando x tiende a 6-de (x-6)/(\|x-6\|)	\lim\:_{x\to\:6-}(\frac{x-6}{\left\|x-6\right\|})
derivada de ln(x^x)	\frac{d}{dx}(\ln(x^{x}))
integral de 4xe^{-2x^2}	\int\:4xe^{-2x^{2}}dx
derivada de (cos(x+2)^3)	\frac{d}{dx}((\cos(x)+2)^{3})
integral de (4x)/((x^2+6)^2)	\int\:\frac{4x}{(x^{2}+6)^{2}}dx
(dy)/(dx)=(x+y)^2-1	\frac{dy}{dx}=(x+y)^{2}-1
derivada de-2/(9x^{5/3})	\frac{d}{dx}(-\frac{2}{9x^{\frac{5}{3}}})
integral de 2x^2+1	\int\:2x^{2}+1dx
integral de 0 a pi/2 de 30cos^5(x)	\int\:_{0}^{\frac{π}{2}}30\cos^{5}(x)dx
tangent f(x)=3x^2+2x,\at x=1	tangent\:f(x)=3x^{2}+2x,\at\:x=1
serie de n=1 a infinity de (-0.3)^n	\sum\:_{n=1}^{\infty\:}(-0.3)^{n}
límite cuando x tiende a 0 de 1/3 x	\lim\:_{x\to\:0}(\frac{1}{3}x)
tangent f(x)=3x-cos(x),\at x=0	tangent\:f(x)=3x-\cos(x),\at\:x=0
integral de (9x+5)^2	\int\:(9x+5)^{2}dx
derivative f(x)=x^{-5}	derivative\:f(x)=x^{-5}
pendiente x^2-8x+9	slope\:x^{2}-8x+9
límite cuando x tiende a 0 de (2^{2x}-1)/x	\lim\:_{x\to\:0}(\frac{2^{2x}-1}{x})
integral de ln(z)	\int\:\ln(z)dz
integral de ((xe^x))/((x+1)^2)	\int\:\frac{(xe^{x})}{(x+1)^{2}}dx
integral de x*sin(3x)	\int\:x\cdot\:\sin(3x)dx
taylor xcos(pi)x,x=0	taylor\:x\cos(π)x,x=0
derivative f(-1)=x^2+2-1	derivative\:f(-1)=x^{2}+2-1
derivative f(x)= 1/(sqrt(2x+3))	derivative\:f(x)=\frac{1}{\sqrt{2x+3}}
integral de (x^3+2x)^5(6x^2+4)	\int\:(x^{3}+2x)^{5}(6x^{2}+4)dx
derivada de ln(x/(2e))	\frac{d}{dx}(\ln(\frac{x}{2e}))
tangent f(x)=x^2+9,(-2,13)	tangent\:f(x)=x^{2}+9,(-2,13)
integral de 0 a 2 de 1/(x-1)	\int\:_{0}^{2}\frac{1}{x-1}dx
integral de (x/(sqrt(x+1)))	\int\:(\frac{x}{\sqrt{x+1}})dx
(\partial)/(\partial x)(y-1)	\frac{\partial\:}{\partial\:x}(y-1)
límite cuando x tiende a-infinity de 5	\lim\:_{x\to\:-\infty\:}(5)
integral de (e^{-x})^2	\int\:(e^{-x})^{2}dx
h(x)=-x^3e^x	h(x)=-x^{3}e^{x}
inversalaplace (s^2+2s+3)/((s+1)^3)	inverselaplace\:\frac{s^{2}+2s+3}{(s+1)^{3}}
integral de ((8x^2+9x+8))/((x^2+1)^2)	\int\:\frac{(8x^{2}+9x+8)}{(x^{2}+1)^{2}}dx
integral de x*cos(5x)	\int\:x\cdot\:\cos(5x)dx
límite cuando x tiende a 0 de 1/(1+x^2)	\lim\:_{x\to\:0}(\frac{1}{1+x^{2}})
derivada de (x^{-2}+x^3(4x)^{-2x})	\frac{d}{dx}((x^{-2}+x)^{3}(4x)^{-2x})
xy^'=4x^4cos(2x)+3y	xy^{\prime\:}=4x^{4}\cos(2x)+3y
límite cuando x tiende a 0 de xsin(pi/x)	\lim\:_{x\to\:0}(x\sin(\frac{π}{x}))
área y=5x-x^2,y=2x,(3,6)	area\:y=5x-x^{2},y=2x,(3,6)
(\partial)/(\partial x)(4y-3x^2)	\frac{\partial\:}{\partial\:x}(4y-3x^{2})

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