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Problemas populares

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Problemas populares de Cálculo

derivative sin(t^2)*ln(t^3)	derivative\:\sin(t^{2})\cdot\:\ln(t^{3})
(\partial)/(\partial x)((1+2/y)sin(x))	\frac{\partial\:}{\partial\:x}((1+\frac{2}{y})\sin(x))
(\partial)/(\partial y)((x/y)^{1/2})	\frac{\partial\:}{\partial\:y}((\frac{x}{y})^{\frac{1}{2}})
derivada de 2x{z}(x)	\frac{d}{dx}(2x{z}(x))
d/(ds)(s/(s^2+9))	\frac{d}{ds}(\frac{s}{s^{2}+9})
integral de 1/(x(x-1)^3)	\int\:\frac{1}{x(x-1)^{3}}dx
integral de 3te^{2t}	\int\:3te^{2t}dt
límite cuando x tiende a 1 de-6+4x^2	\lim\:_{x\to\:1}(-6+4x^{2})
área 2x-5y=0,y=0,x=5	area\:2x-5y=0,y=0,x=5
d/(dt)(e^{-t})	\frac{d}{dt}(e^{-t})
integral de sqrt(4+25x^2)	\int\:\sqrt{4+25x^{2}}dx
tangent y=x^3,(1,0)	tangent\:y=x^{3},(1,0)
d/(d{x)}(sin(3{x}+{y}{z}))	\frac{d}{d{x}}(\sin(3{x}+{y}{z}))
derivada de x^{0.7}	\frac{d}{dx}(x^{0.7})
integral de 0 a 2pi de t^2sin(2)	\int\:_{0}^{2π}t^{2}\sin(2)dt
(\partial)/(\partial v)(sin(u)sin(v))	\frac{\partial\:}{\partial\:v}(\sin(u)\sin(v))
límite cuando x tiende a-2 de 2x^2+5x+3	\lim\:_{x\to\:-2}(2x^{2}+5x+3)
derivative y=(3x^5-7x^2-4)/(x^2)	derivative\:y=\frac{3x^{5}-7x^{2}-4}{x^{2}}
derivative f(x)=(3+2x)e^{-3x}	derivative\:f(x)=(3+2x)e^{-3x}
integral de 0 a 2 de (3x^2-6x+1)	\int\:_{0}^{2}(3x^{2}-6x+1)dx
derivative y=x^2-2x-24sqrt(x)	derivative\:y=x^{2}-2x-24\sqrt{x}
y^'=-x/y+((x^2+y^2))/y ,y(0)=-1	y^{\prime\:}=-\frac{x}{y}+\frac{(x^{2}+y^{2})}{y},y(0)=-1
integral de cos(x)(3+5sin^2(x))	\int\:\cos(x)(3+5\sin^{2}(x))dx
integral de (2x+1)/((x+7)^2)	\int\:\frac{2x+1}{(x+7)^{2}}dx
derivada de arcsin(x+y)	\frac{d}{dx}(\arcsin(x+y))
(dy)/(dx)=-(1+y)/(1+x+y)	\frac{dy}{dx}=-\frac{1+y}{1+x+y}
4y^{''}+9y^'=0	4y^{\prime\:\prime\:}+9y^{\prime\:}=0
(\partial)/(\partial x)(e^{1x}cos(2y))	\frac{\partial\:}{\partial\:x}(e^{1x}\cos(2y))
y^{''}+y=6sin(2t)+4tcos(2t)	y^{\prime\:\prime\:}+y=6\sin(2t)+4t\cos(2t)
derivada de 600000(0.8^x)	\frac{d}{dx}(600000(0.8)^{x})
derivative y= 4/(ln(x))	derivative\:y=\frac{4}{\ln(x)}
integral de (x^4+1)/(x^5+4x^3)	\int\:\frac{x^{4}+1}{x^{5}+4x^{3}}dx
serie de n=1 a infinity de (-1)^{n-1}	\sum\:_{n=1}^{\infty\:}(-1)^{n-1}
(\partial)/(\partial x)(2xy-x^3-y^2)	\frac{\partial\:}{\partial\:x}(2xy-x^{3}-y^{2})
integral de t(e^{-st})	\int\:t(e^{-st})dt
laplacetransformación 3/2 t+2e^{-t}-1/4 e^{-2t}-7/4	laplacetransform\:\frac{3}{2}t+2e^{-t}-\frac{1}{4}e^{-2t}-\frac{7}{4}
integral de (3x+1)/((x-2)(x+3)^2)	\int\:\frac{3x+1}{(x-2)(x+3)^{2}}dx
(\partial}{\partial x}(\frac{(y+z))/x)	\frac{\partial\:}{\partial\:x}(\frac{(y+z)}{x})
derivada de k(sec(x+tan(x)))	\frac{d}{dx}(k(\sec(x)+\tan(x)))
(4+x)y^'=3y	(4+x)y^{\prime\:}=3y
integral de (1+9/4 x)^{1/2}	\int\:(1+\frac{9}{4}x)^{\frac{1}{2}}dx
(dy)/(dx)=1+y	\frac{dy}{dx}=1+y
integral de sin(x-3)	\int\:\sin(x-3)dx
derivative 3cos(x)+2sin(x)	derivative\:3\cos(x)+2\sin(x)
integral de 1/(e^{2x)+e^x}	\int\:\frac{1}{e^{2x}+e^{x}}dx
(x/3)^'	(\frac{x}{3})^{\prime\:}
y-x(dy)/(dx)=0	y-x\frac{dy}{dx}=0
y^'= y/(1+x^2)	y^{\prime\:}=\frac{y}{1+x^{2}}
derivada de e^{2x+2}	\frac{d}{dx}(e^{2x+2})
límite cuando x tiende a 24 de (x^2)/6-4/x	\lim\:_{x\to\:24}(\frac{x^{2}}{6}-\frac{4}{x})
xe^{-t}(dx)/(dt)=1	xe^{-t}\frac{dx}{dt}=1
integral de 10x+0.5	\int\:10x+0.5dx
taylor xsin(2x-4)	taylor\:x\sin(2x-4)
pendiente 8y^6+5x^3=7y+6x	slope\:8y^{6}+5x^{3}=7y+6x
derivada de cot(cos(x))	\frac{d}{dx}(\cot(\cos(x)))
y^{''}=4t^2	y^{\prime\:\prime\:}=4t^{2}
derivative f(x)=tan(sqrt(x))	derivative\:f(x)=\tan(\sqrt{x})
integral de 1/(x*cos^2(ln(x)))	\int\:\frac{1}{x\cdot\:\cos^{2}(\ln(x))}dx
área x=8+2y,y=-1,y=3	area\:x=8+2y,y=-1,y=3
x^3(dy)/(dx)+5xy=x	x^{3}\frac{dy}{dx}+5xy=x
(dh)/(dt)=-0.006sqrt(19.6h)	\frac{dh}{dt}=-0.006\sqrt{19.6h}
tangent y=1+sqrt(x),(4,3)	tangent\:y=1+\sqrt{x},(4,3)
derivada de-1/((3+x^2))	\frac{d}{dx}(-\frac{1}{(3+x)^{2}})
límite cuando x tiende a-3 de (x^3)/(x^2-9)	\lim\:_{x\to\:-3}(\frac{x^{3}}{x^{2}-9})
derivada de sin(h(x))	\frac{d}{dx}(\sin(h)(x))
maclaurin f(x)=e^x	maclaurin\:f(x)=e^{x}
derivada de sin^1(x)	\frac{d}{dx}(\sin^{1}(x))
inversalaplace (e^{-4s})/((5s^2+20))	inverselaplace\:\frac{e^{-4s}}{(5s^{2}+20)}
integral de (7/(t^2)-5t^5)	\int\:(\frac{7}{t^{2}}-5t^{5})dt
(\partial)/(\partial x)(e^x+e^y)	\frac{\partial\:}{\partial\:x}(e^{x}+e^{y})
integral de (3/(x^4))	\int\:(\frac{3}{x^{4}})dx
(\partial)/(\partial y)(e^{yx})	\frac{\partial\:}{\partial\:y}(e^{yx})
(\partial)/(\partial x)(4x+9y-360)	\frac{\partial\:}{\partial\:x}(4x+9y-360)
(d^2)/(dx^2)(x/(x+1))	\frac{d^{2}}{dx^{2}}(\frac{x}{x+1})
tangent f(x)=x^3+9x^2+x+9	tangent\:f(x)=x^{3}+9x^{2}+x+9
integral de ((x-2)^3)/(x^2)	\int\:\frac{(x-2)^{3}}{x^{2}}dx
derivative xe^{3x}	derivative\:xe^{3x}
integral de 0 a 1 de xsqrt(4-x^2)	\int\:_{0}^{1}x\sqrt{4-x^{2}}dx
integral de (x^2+3x-1)^4(2x+3)	\int\:(x^{2}+3x-1)^{4}(2x+3)dx
derivative f(x)=5csc^4(x)	derivative\:f(x)=5\csc^{4}(x)
derivative 1000(1+r/(12))^{60}	derivative\:1000(1+\frac{r}{12})^{60}
serie de n=1 a infinity de 1/(sqrt(2))	\sum\:_{n=1}^{\infty\:}\frac{1}{\sqrt{2}}
inversalaplace 1-e^{-s}	inverselaplace\:1-e^{-s}
integral de (x^3(2x^2-3))	\int\:(x^{3}(2x^{2}-3))dx
integral de (x/3)^3	\int\:(\frac{x}{3})^{3}dx
integral de 1/(sqrt(1+\sqrt[3]{x))}	\int\:\frac{1}{\sqrt{1+\sqrt[3]{x}}}dx
límite cuando x tiende a 1 de 7/(x^3-1)	\lim\:_{x\to\:1}(\frac{7}{x^{3}-1})
derivative 4t^{-3/8}+5ln(t)+ln(5)	derivative\:4t^{-\frac{3}{8}}+5\ln(t)+\ln(5)
integral de e^x(1+e^x)^{1/2}	\int\:e^{x}(1+e^{x})^{\frac{1}{2}}dx
límite cuando x tiende a 0 de 1/x-1/(x^2-x)	\lim\:_{x\to\:0}(\frac{1}{x}-\frac{1}{x^{2}-x})
derivative-1/2 x^2	derivative\:-\frac{1}{2}x^{2}
integral de cos^{1/2}(x)	\int\:\cos^{\frac{1}{2}}(x)dx
(\partial)/(\partial z)(5xsin(y-z))	\frac{\partial\:}{\partial\:z}(5x\sin(y-z))
área f(x)= 1/(7(1+x^2)),g(x)= 1/(14x^2)	area\:f(x)=\frac{1}{7(1+x^{2})},g(x)=\frac{1}{14x^{2}}
integral de (x^2+2)/(x^3+3x^2+2x)	\int\:\frac{x^{2}+2}{x^{3}+3x^{2}+2x}dx
(\partial)/(\partial x)(4x^3+x^2y-3y^3)	\frac{\partial\:}{\partial\:x}(4x^{3}+x^{2}y-3y^{3})
integral de 1 a e de ln(17x)	\int\:_{1}^{e}\ln(17x)dx
(dy)/(dt)=5	\frac{dy}{dt}=5
derivada de arccos(e^{4x})	\frac{d}{dx}(\arccos(e^{4x}))
serie de n=1 a infinity de sin(n)	\sum\:_{n=1}^{\infty\:}\sin(n)

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