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Problemas populares Cálculo

límite cuando (x,y) tiende a (0,0) de e^{xy}	\lim\:_{(x,y)\to\:(0,0)}(e^{xy})
derivada de (17-(13-2x^4^7)^3)	\frac{d}{dx}((17-(13-2x^{4})^{7})^{3})
(\partial)/(\partial x)(2x^2ln(3xy^2+4y))	\frac{\partial\:}{\partial\:x}(2x^{2}\ln(3xy^{2}+4y))
derivada de xe^{-x/2}	\frac{d}{dx}(xe^{-\frac{x}{2}})
integral de 1 a 3 de (2x+1)	\int\:_{1}^{3}(2x+1)dx
(\partial)/(\partial x)((x^2y^2)/(x^4+y^4))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}y^{2}}{x^{4}+y^{4}})
integral de 1/(sec^4(1/4 β))	\int\:\frac{1}{\sec^{4}(\frac{1}{4}β)}dβ
integral de 6*sqrt(x+4)	\int\:6\cdot\:\sqrt{x+4}dx
(\partial)/(\partial x)(sin(x+2y+3z))	\frac{\partial\:}{\partial\:x}(\sin(x+2y+3z))
derivative f(x)=(4x)/(3x^2+1)	derivative\:f(x)=\frac{4x}{3x^{2}+1}
(\partial)/(\partial x)(yln(xy))	\frac{\partial\:}{\partial\:x}(y\ln(xy))
límite cuando x tiende a 2 de 6/((x-2)^3)	\lim\:_{x\to\:2}(\frac{6}{(x-2)^{3}})
implicit (dy)/(dx),7x+4y=8	implicit\:\frac{dy}{dx},7x+4y=8
área y=x^2,y=5x	area\:y=x^{2},y=5x
derivada de ln(2x-3)	\frac{d}{dx}(\ln(2x-3))
inverselaplace ((5e^{-s}))/(s+1)	inverselaplace\:\frac{(5e^{-s})}{s+1}
tangent f(x)=sqrt(3x+7),\at a=6	tangent\:f(x)=\sqrt{3x+7},\at\:a=6
d/(dy)(x/((x+y)^2))	\frac{d}{dy}(\frac{x}{(x+y)^{2}})
derivada de (5-x/x)	\frac{d}{dx}(\frac{5-x}{x})
integral de x^3-1/(x^2)-x^{2/3}	\int\:x^{3}-\frac{1}{x^{2}}-x^{\frac{2}{3}}dx
límite cuando x tiende a infinity de 5x^2	\lim\:_{x\to\:\infty\:}(5x^{2})
integral de 1 a 4 de x-1	\int\:_{1}^{4}x-1dx
derivada de (7^{10x+1})	\frac{d}{dx}((7)^{10x+1})
derivada de x^2*x^{-1}	\frac{d}{dx}(x^{2}\cdot\:x^{-1})
integral de (2x+1)/(x^2+2x+37)	\int\:\frac{2x+1}{x^{2}+2x+37}dx
derivada de sin(x*sin(x))	\frac{d}{dx}(\sin(x)\cdot\:\sin(x))
integral de-9 a 9 de sqrt(81-x^2)	\int\:_{-9}^{9}\sqrt{81-x^{2}}dx
ty^'-2y=t^5sin(2t)-t^3+4t^4	ty^{\prime\:}-2y=t^{5}\sin(2t)-t^{3}+4t^{4}
tangent f(x)=(12x)/(x^2-4),\at x=4	tangent\:f(x)=\frac{12x}{x^{2}-4},\at\:x=4
límite cuando h tiende a 0 de (-8+h)/h	\lim\:_{h\to\:0}(\frac{-8+h}{h})
(e^{-1/(x^2)})^'	(e^{-\frac{1}{x^{2}}})^{\prime\:}
integral de (e^x)/(sqrt(e^{2x)+1)}	\int\:\frac{e^{x}}{\sqrt{e^{2x}+1}}dx
integral de 2 a 3 de 5/(sqrt(3-x))	\int\:_{2}^{3}\frac{5}{\sqrt{3-x}}dx
(\partial)/(\partial x)(x^2*y^3)	\frac{\partial\:}{\partial\:x}(x^{2}\cdot\:y^{3})
integral de x(x+a)(x+b)	\int\:x(x+a)(x+b)dx
y^{''}+20y^'+500=12	y^{\prime\:\prime\:}+20y^{\prime\:}+500=12
integral de 1/(sqrt(x-1)+\sqrt{1+x)}	\int\:\frac{1}{\sqrt{x-1}+\sqrt{1+x}}dx
y^'=2+sqrt(y-2x+3)	y^{\prime\:}=2+\sqrt{y-2x+3}
derivada de 2/((x+3^3))	\frac{d}{dx}(\frac{2}{(x+3)^{3}})
laplacetransform y	laplacetransform\:y
derivative sqrt(2)	derivative\:\sqrt{2}
derivative-csc(x)cot(x)	derivative\:-\csc(x)\cot(x)
10x+(dy)/(dx)=0	10x+\frac{dy}{dx}=0
integral de (x^2+4)/(x-1)	\int\:\frac{x^{2}+4}{x-1}dx
(\partial)/(\partial y)(e^{xyz})	\frac{\partial\:}{\partial\:y}(e^{xyz})
dr=e(rsin(θ)dθ-cos(θ)dr)	dr=e(r\sin(θ)dθ-\cos(θ)dr)
(\partial)/(\partial y)(1+x^4+y^3)	\frac{\partial\:}{\partial\:y}(1+x^{4}+y^{3})
integral de (3x+2)^{3/2}	\int\:(3x+2)^{\frac{3}{2}}dx
derivada de ((1-sec(x))/(tan(x)))	\frac{d}{dx}(\frac{(1-\sec(x))}{\tan(x)})
simplificar sqrt(x)+1/(x^2)+x^3	simplify\:\sqrt{x}+\frac{1}{x^{2}}+x^{3}
integral de 5e^{-2x}+4	\int\:5e^{-2x}+4dx
6(dy)/(dx)-y^2=0	6\frac{dy}{dx}-y^{2}=0
laplacetransform 2cos(t)	laplacetransform\:2\cos(t)
2x^2y^{''}+5xy^'+y=x^2-x	2x^{2}y^{\prime\:\prime\:}+5xy^{\prime\:}+y=x^{2}-x
inverselaplace s/((s^2+2s+2))	inverselaplace\:\frac{s}{(s^{2}+2s+2)}
y^'-1/t y=0	y^{\prime\:}-\frac{1}{t}y=0
serie de n=0 a infinity de sin(pin)	\sum\:_{n=0}^{\infty\:}\sin(πn)
derivative (-4x)/((x^2-1)^2)	derivative\:\frac{-4x}{(x^{2}-1)^{2}}
tangent y= x/(1+x^2),(2, 2/5)	tangent\:y=\frac{x}{1+x^{2}},(2,\frac{2}{5})
tangent f(x)=sqrt(x+3)	tangent\:f(x)=\sqrt{x+3}
(dy)/(dt)=(3-2y)*t^3	\frac{dy}{dt}=(3-2y)\cdot\:t^{3}
(\partial)/(\partial z)(-5z)	\frac{\partial\:}{\partial\:z}(-5z)
y^'=8y	y^{\prime\:}=8y
derivada de ln(1+4/x)	\frac{d}{dx}(\ln(1+\frac{4}{x}))
y^'=(y^2-1)x	y^{\prime\:}=(y^{2}-1)x
derivada de (x^2+3/(x^2-9x))	\frac{d}{dx}(\frac{x^{2}+3}{x^{2}-9x})
(\partial)/(\partial u)(u*sin(v))	\frac{\partial\:}{\partial\:u}(u\cdot\:\sin(v))
integral de-2 a 1 de 1/(sqrt(2-x))	\int\:_{-2}^{1}\frac{1}{\sqrt{2-x}}dx
derivada de xe^{-6x}	\frac{d}{dx}(xe^{-6x})
serie de k=2 a infinity de 3/(2^k)	\sum\:_{k=2}^{\infty\:}\frac{3}{2^{k}}
(\partial)/(\partial y)(e^{2x-3y})	\frac{\partial\:}{\partial\:y}(e^{2x-3y})
(\partial)/(\partial x)(y^2+x)	\frac{\partial\:}{\partial\:x}(y^{2}+x)
derivada de sin(5)	\frac{d}{dx}(\sin(5))
(\partial)/(\partial x)(x^{5y})	\frac{\partial\:}{\partial\:x}(x^{5y})
derivative f(x)= 8/x	derivative\:f(x)=\frac{8}{x}
derivada de ln(x^4sin^2(x))	\frac{d}{dx}(\ln(x^{4}\sin^{2}(x)))
(\partial)/(\partial x)(2x^4)	\frac{\partial\:}{\partial\:x}(2x^{4})
(\partial)/(\partial x)(12x+6y-x^2+xy-y^2)	\frac{\partial\:}{\partial\:x}(12x+6y-x^{2}+xy-y^{2})
tangent sqrt(7x-6)	tangent\:\sqrt{7x-6}
(\partial}{\partial x}(\frac{xy)/z)	\frac{\partial\:}{\partial\:x}(\frac{xy}{z})
derivada de sqrt(7+xsec(x))	\frac{d}{dx}(\sqrt{7+x\sec(x)})
integral de xe^{-x}	\int\:xe^{-x}dx
derivada de ccost+t^2sin(t)	\frac{d}{dx}(ccost+t^{2}\sin(t))
área x^2+2x+11,-4x+2,0	area\:x^{2}+2x+11,-4x+2,0
derivative f(x)=8xe^{9x}	derivative\:f(x)=8xe^{9x}
integral de (cos(x)+1/5 x)	\int\:(\cos(x)+\frac{1}{5}x)dx
integral de (x^3)/(1+x^4)	\int\:\frac{x^{3}}{1+x^{4}}dx
(\partial)/(\partial x)((e^x(y-x))dx)	\frac{\partial\:}{\partial\:x}((e^{x}(y-x))dx)
integral de x/(2x^2+4)	\int\:\frac{x}{2x^{2}+4}dx
integral de (csc^2(sqrt(x)))/(2sqrt(x))	\int\:\frac{\csc^{2}(\sqrt{x})}{2\sqrt{x}}dx
derivada de 9-x^{2/3}	\frac{d}{dx}(9-x^{\frac{2}{3}})
(cos^3(x))^'	(\cos^{3}(x))^{\prime\:}
tangent f(x)= 2/x ,\at x=-4	tangent\:f(x)=\frac{2}{x},\at\:x=-4
integral de (x^3)/(x^4-5)	\int\:\frac{x^{3}}{x^{4}-5}dx
integral de (x^2-18x+32)/(x(x-4)^2)	\int\:\frac{x^{2}-18x+32}{x(x-4)^{2}}dx
derivative f(x)=x^{2/5}	derivative\:f(x)=x^{\frac{2}{5}}
y^{''}+13y=0	y^{\prime\:\prime\:}+13y=0
(dy)/(dx)=(x+xy^2)/(4y)	\frac{dy}{dx}=\frac{x+xy^{2}}{4y}
integral de 0 a (3pi)/2 de cos^3(17x)	\int\:_{0}^{\frac{3π}{2}}\cos^{3}(17x)dx
área y=sqrt(x+1),x=8	area\:y=\sqrt{x+1},x=8

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