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Problemas populares Cálculo

(\partial)/(\partial y)(xln(5x+8y))	\frac{\partial\:}{\partial\:y}(x\ln(5x+8y))
d/(dt)(0.9^t)	\frac{d}{dt}(0.9^{t})
límite cuando x tiende a 0 de (x-9)/(x-1)	\lim\:_{x\to\:0}(\frac{x-9}{x-1})
(dy)/(dt)= 1/y	\frac{dy}{dt}=\frac{1}{y}
derivada de 1/(2sqrt(x)+1/(3x^{2/3)})	\frac{d}{dx}(\frac{1}{2\sqrt{x}}+\frac{1}{3x^{\frac{2}{3}}})
((2sin(x))/(1-2cos(x)))^'	(\frac{2\sin(x)}{1-2\cos(x)})^{\prime\:}
límite cuando x tiende a 0-de 9/x-9/(\|x\|)	\lim\:_{x\to\:0-}(\frac{9}{x}-\frac{9}{\left\|x\right\|})
derivative x^2(x^3+4)(x^5-6)	derivative\:x^{2}(x^{3}+4)(x^{5}-6)
d/(dt)(5e^tsin(t))	\frac{d}{dt}(5e^{t}\sin(t))
derivative 5x^4-28x^3+42x^2-196x+49	derivative\:5x^{4}-28x^{3}+42x^{2}-196x+49
límite cuando x tiende a 0 de tan^4(4x)	\lim\:_{x\to\:0}(\tan^{4}(4x))
normal y=5x^3-3x,(1,2)	normal\:y=5x^{3}-3x,(1,2)
límite cuando x tiende a a de 3x^2-2	\lim\:_{x\to\:a}(3x^{2}-2)
límite cuando x tiende a infinity de 24x^7e^{-x^8},[0,x]	\lim\:_{x\to\:\infty\:}(24x^{7}e^{-x^{8}},[0,x])
(\partial)/(\partial y)(xe^{3xy})	\frac{\partial\:}{\partial\:y}(xe^{3xy})
inverselaplace s/(s^2+4s-5)	inverselaplace\:\frac{s}{s^{2}+4s-5}
derivative x^2(3x^2-x-14)	derivative\:x^{2}(3x^{2}-x-14)
integral de x/(6x^2+4)	\int\:\frac{x}{6x^{2}+4}dx
inverselaplace ((s-5))/(s(s+4)^2)	inverselaplace\:\frac{(s-5)}{s(s+4)^{2}}
área y=x^2-4x+3,x-y-1=0	area\:y=x^{2}-4x+3,x-y-1=0
integral de (2x^3+6e^x)	\int\:(2x^{3}+6e^{x})dx
integral de (x^2+1)/((x+1)^2)	\int\:\frac{x^{2}+1}{(x+1)^{2}}dx
derivada de 2x^3+6xy^2-3x^2+3y^2	\frac{d}{dx}(2x^{3}+6xy^{2}-3x^{2}+3y^{2})
taylor cos(3x),2.5	taylor\:\cos(3x),2.5
laplacetransform 1-t	laplacetransform\:1-t
integral de (sqrt(x)+3)/(x+3)	\int\:\frac{\sqrt{x}+3}{x+3}dx
integral de sin(x)cos(x)e^x	\int\:\sin(x)\cos(x)e^{x}dx
derivada de (x^2/(x^2+4))	\frac{d}{dx}(\frac{x^{2}}{x^{2}+4})
integral de 1/((9x^2-1)^{3/2)}	\int\:\frac{1}{(9x^{2}-1)^{\frac{3}{2}}}dx
derivada de (1-4x/(6+x))	\frac{d}{dx}(\frac{1-4x}{6+x})
integral de 1/((u^2+9)^{5/2)}	\int\:\frac{1}{(u^{2}+9)^{\frac{5}{2}}}du
derivada de x^2log_{10}(x)	\frac{d}{dx}(x^{2}\log_{10}(x))
derivada de 7tan(x)	\frac{d}{dx}(7\tan(x))
integral de 1 a infinity de xe^{-x}	\int\:_{1}^{\infty\:}xe^{-x}dx
derivada de-1/5 (x^{-5}-x^{10})	\frac{d}{dx}(-\frac{1}{5}(x^{-5}-x^{10}))
(\partial)/(\partial v)(u*sin(v))	\frac{\partial\:}{\partial\:v}(u\cdot\:\sin(v))
derivative f(x)=\|x-2\|	derivative\:f(x)=\left\|x-2\right\|
límite cuando x tiende a-1 de (x+3)/(x+1)	\lim\:_{x\to\:-1}(\frac{x+3}{x+1})
tangent f(x)=5-x^2,\at x=1	tangent\:f(x)=5-x^{2},\at\:x=1
derivative x^2-7	derivative\:x^{2}-7
límite cuando x tiende a 4+de 3/(x-4)	\lim\:_{x\to\:4+}(\frac{3}{x-4})
2y^'-y^2+4=0	2y^{\prime\:}-y^{2}+4=0
integral de (x^3)/(sqrt(1-2x^2))	\int\:\frac{x^{3}}{\sqrt{1-2x^{2}}}dx
derivative 3xe^{3x}	derivative\:3xe^{3x}
d/(dy)(ye^{xy})	\frac{d}{dy}(ye^{xy})
6(dy)/(dt)-2y=ty^4,y(0)=-2	6\frac{dy}{dt}-2y=ty^{4},y(0)=-2
derivative t/((t-3)^2)	derivative\:\frac{t}{(t-3)^{2}}
derivada de sin^x(x)	\frac{d}{dx}(\sin^{x}(x))
tangent (x^3+1)/(2x)	tangent\:\frac{x^{3}+1}{2x}
límite cuando x tiende a 8 de (x+6)/(x-8)	\lim\:_{x\to\:8}(\frac{x+6}{x-8})
integral de 16xe^{-x^2}	\int\:16xe^{-x^{2}}dx
límite cuando x tiende a-2 de-x^2+6x-5	\lim\:_{x\to\:-2}(-x^{2}+6x-5)
integral de (x-7)^5	\int\:(x-7)^{5}dx
inverselaplace (e^{-4s})/(s+2)	inverselaplace\:\frac{e^{-4s}}{s+2}
simplificar f(sqrt(x))	simplify\:f(\sqrt{x})
t((dy)/(dt))=t^3+18t^3y	t(\frac{dy}{dt})=t^{3}+18t^{3}y
área 4t^3-t^2,t^4+2t^2	area\:4t^{3}-t^{2},t^{4}+2t^{2}
(dy)/(dx)=x+y	\frac{dy}{dx}=x+y
derivada de (sec(x)/(2+sec(x)))	\frac{d}{dx}(\frac{\sec(x)}{2+\sec(x)})
3(x^2+y^2)dx+xdy-ydx=0	3(x^{2}+y^{2})dx+xdy-ydx=0
derivative f(x)=3x-2x^2	derivative\:f(x)=3x-2x^{2}
serie de n=1 a infinity de (2n+1)/n	\sum\:_{n=1}^{\infty\:}\frac{2n+1}{n}
derivative sqrt((5x+1)/(x^2-3))	derivative\:\sqrt{\frac{5x+1}{x^{2}-3}}
y^{''}+4y^'+5y=34e^{2t},y(0)=1,y^'(0)=2	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=34e^{2t},y(0)=1,y^{\prime\:}(0)=2
y^{''}=32e^{2t},y(0)=3,y^'(0)=8	y^{\prime\:\prime\:}=32e^{2t},y(0)=3,y^{\prime\:}(0)=8
integral de a a b de 1/(b-a)	\int\:_{a}^{b}\frac{1}{b-a}
derivative-3cos(-3x)	derivative\:-3\cos(-3x)
derivada de x-1-ln(x)	\frac{d}{dx}(x-1-\ln(x))
x^2(1-y)(dy)/(dx)+y^2(1+x)=0	x^{2}(1-y)\frac{dy}{dx}+y^{2}(1+x)=0
(dy)/(dt)-2y=8e^{4t}	\frac{dy}{dt}-2y=8e^{4t}
integral de 1/27 e^{3x}	\int\:\frac{1}{27}e^{3x}dx
derivative 4x^3e^x+e^xx^4	derivative\:4x^{3}e^{x}+e^{x}x^{4}
integral de (1-2x)^3	\int\:(1-2x)^{3}dx
integral de 2^x3^{2x}5^{3x}	\int\:2^{x}3^{2x}5^{3x}dx
derivada de (x+2^{x^2-2x+1})	\frac{d}{dx}((x+2)^{x^{2}-2x+1})
límite cuando x tiende a-7-de (x+3)/(x+7)	\lim\:_{x\to\:-7-}(\frac{x+3}{x+7})
integral de (t^2+1)/t	\int\:\frac{t^{2}+1}{t}dt
integral de (e^{2x})/(1-e^x)	\int\:\frac{e^{2x}}{1-e^{x}}dx
derivada de ln((x+2/(x-1)))	\frac{d}{dx}(\ln(\frac{x+2}{x-1}))
derivative y=(x+2^x)/(cos(pix))	derivative\:y=\frac{x+2^{x}}{\cos(πx)}
derivative ln(arctan(x))	derivative\:\ln(\arctan(x))
integral de x/(sqrt(8+x^2))+3e^{4x}	\int\:\frac{x}{\sqrt{8+x^{2}}}+3e^{4x}dx
integral de x^2ln(x^6-1)	\int\:x^{2}\ln(x^{6}-1)dx
(\partial)/(\partial x)(((x-5y))/(5xy+7))	\frac{\partial\:}{\partial\:x}(\frac{(x-5y)}{5xy+7})
derivative ((2-1/x))/(x-3)	derivative\:\frac{(2-\frac{1}{x})}{x-3}
integral de (27)/((1-x^2)^{3/2)}	\int\:\frac{27}{(1-x^{2})^{\frac{3}{2}}}dx
derivada de cot(sin(x))	\frac{d}{dx}(\cot(\sin(x)))
(dy)/(dx)=e^{-kax},y(0)=0	\frac{dy}{dx}=e^{-k\cdot\:a\cdot\:x},y(0)=0
tangent x^3-3x-4	tangent\:x^{3}-3x-4
d/(dy)(2/3 (y-1)^{3/2})	\frac{d}{dy}(\frac{2}{3}(y-1)^{\frac{3}{2}})
(\partial)/(\partial x)((x-2)^2)	\frac{\partial\:}{\partial\:x}((x-2)^{2})
xy^'+2y*ln(x)=3	xy^{\prime\:}+2y\cdot\:\ln(x)=3
integral de 0 a 1 de sin(npix)	\int\:_{0}^{1}\sin(nπx)dx
inverselaplace 3/s+(24)/(s^4)	inverselaplace\:\frac{3}{s}+\frac{24}{s^{4}}
(\partial)/(\partial y)(4x^3y^2)	\frac{\partial\:}{\partial\:y}(4x^{3}y^{2})
inverselaplace 1/((s-4)^3)	inverselaplace\:\frac{1}{(s-4)^{3}}
derivada de 6x^2-8x	\frac{d}{dx}(6x^{2}-8x)
área [0,5],5x, 5/x ,x=5	area\:[0,5],5x,\frac{5}{x},x=5
d/(ds)(ln((s^8x^7e^{-sx^8})^n))	\frac{d}{ds}(\ln((s^{8}x^{7}e^{-sx^{8}})^{n}))
integral de 42x	\int\:42xdx

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