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Problemas populares

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Problemas populares de Cálculo

límite cuando x tiende a infinity de-xe^x	\lim\:_{x\to\:\infty\:}(-xe^{x})
derivada de ln(sqrt(2-2x^2))	\frac{d}{dx}(\ln(\sqrt{2-2x^{2}}))
derivada de (x^2-25/(x+5))	\frac{d}{dx}(\frac{x^{2}-25}{x+5})
derivada de x^4+4/3 x^3-4x^2	\frac{d}{dx}(x^{4}+\frac{4}{3}x^{3}-4x^{2})
integral de (-3x+2)e^{-x}	\int\:(-3x+2)e^{-x}dx
límite cuando x tiende a 0 de (7e^x)/(x^5)	\lim\:_{x\to\:0}(\frac{7e^{x}}{x^{5}})
integral de 4x^2-2	\int\:4x^{2}-2dx
límite cuando x tiende a+1 de 0	\lim\:_{x\to\:+1}(0)
inversalaplace x/((x^2-9)*x)	inverselaplace\:\frac{x}{(x^{2}-9)\cdot\:x}
derivada de (sin(x)/2)	\frac{d}{dx}(\frac{\sin(x)}{2})
(d^2x)/(dt^2)+k^2x=0	\frac{d^{2}x}{dt^{2}}+k^{2}x=0
límite cuando x tiende a 0 de 1/(cos(x))	\lim\:_{x\to\:0}(\frac{1}{\cos(x)})
límite cuando x tiende a 4 de 5/((x-4)^2)	\lim\:_{x\to\:4}(\frac{5}{(x-4)^{2}})
derivada de 2cos(x-3ln(x)-1)	\frac{d}{dx}(2\cos(x)-3\ln(x)-1)
implicit (dy)/(dx),y^4=2x	implicit\:\frac{dy}{dx},y^{4}=2x
integral de 0 a infinity de xye^{-yx}	\int\:_{0}^{\infty\:}xye^{-yx}dx
derivative (14)/(2x+16)	derivative\:\frac{14}{2x+16}
xy^3dy=dx,y(1)=2	xy^{3}dy=dx,y(1)=2
integral de (x^3-3x^2+2x-4)/(x-1)	\int\:\frac{x^{3}-3x^{2}+2x-4}{x-1}dx
límite cuando x tiende a 0 de (e^x-1)/(11x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{11x})
límite cuando x tiende a-3 de (9-x^2)/(x+3)	\lim\:_{x\to\:-3}(\frac{9-x^{2}}{x+3})
(\partial)/(\partial x)(ln(x/(1-x)))	\frac{\partial\:}{\partial\:x}(\ln(\frac{x}{1-x}))
laplacetransformación tsin(3t)	laplacetransform\:t\sin(3t)
integral de (x^{10}-5x^2)^3(x^9-x)	\int\:(x^{10}-5x^{2})^{3}(x^{9}-x)dx
derivada de ln(\sqrt[5]{(2x-1/(x^3)}))	\frac{d}{dx}(\ln(\sqrt[5]{\frac{2x-1}{x^{3}}}))
xy^'+2y-12=0	xy^{\prime\:}+2y-12=0
derivada de ln((x^3/(e^{3x)}))	\frac{d}{dx}(\ln(\frac{x^{3}}{e^{3x}}))
límite cuando x tiende a 0 de xcos(1/x)	\lim\:_{x\to\:0}(x\cos(\frac{1}{x}))
d/(dt)(1/3 (2k+t^2)^{3/2})	\frac{d}{dt}(\frac{1}{3}(2k+t^{2})^{\frac{3}{2}})
integral de (tan^2(sqrt(x)))/(sqrt(x))	\int\:\frac{\tan^{2}(\sqrt{x})}{\sqrt{x}}dx
derivada de (3cos(x)/(x^4-2x+2))	\frac{d}{dx}(\frac{3\cos(x)}{x^{4}-2x+2})
f(θ)=sec(θ)	f(θ)=\sec(θ)
derivative-0.02x^3+0.37x^2+241x+17905	derivative\:-0.02x^{3}+0.37x^{2}+241x+17905
(t/(t+1(sqrt(t))))^'	(\frac{t}{t+1(\sqrt{t})})^{\prime\:}
y^'+y/x = 1/(x^2)	y^{\prime\:}+\frac{y}{x}=\frac{1}{x^{2}}
tangent y=4sin(pix+y),(1,0)	tangent\:y=4\sin(πx+y),(1,0)
serie de n=0 a infinity de 6(-2/3)^n	\sum\:_{n=0}^{\infty\:}6(-\frac{2}{3})^{n}
y^'=(y^4-3)/((4xy^3))	y^{\prime\:}=\frac{y^{4}-3}{(4xy^{3})}
límite cuando x tiende a-1 de 4x^2-3x+2	\lim\:_{x\to\:-1}(4x^{2}-3x+2)
integral de 1/(x^4sqrt(x^2-1))	\int\:\frac{1}{x^{4}\sqrt{x^{2}-1}}dx
(\partial)/(\partial x)(e^xsin(x+y))	\frac{\partial\:}{\partial\:x}(e^{x}\sin(x+y))
derivative 8/(xsqrt(x^2-4))	derivative\:\frac{8}{x\sqrt{x^{2}-4}}
límite cuando x tiende a infinity de (k)^x	\lim\:_{x\to\:\infty\:}((k)^{x})
límite cuando x tiende a 1 de tan(x)	\lim\:_{x\to\:1}(\tan(x))
y^'=((x^4y^4+4x^4))/(y^3)	y^{\prime\:}=\frac{(x^{4}y^{4}+4x^{4})}{y^{3}}
y^{''}-3y^'-4y=-8e^tcos(2t)	y^{\prime\:\prime\:}-3y^{\prime\:}-4y=-8e^{t}\cos(2t)
derivative f(x)=e^xsin(x)-3e^xcos(x)	derivative\:f(x)=e^{x}\sin(x)-3e^{x}\cos(x)
derivada de (x^3-ax/(bx))	\frac{d}{dx}(\frac{x^{3}-ax}{bx})
f(t)=sin^3(t)	f(t)=\sin^{3}(t)
y^{''}-y^'-2y=0	y^{\prime\:\prime\:}-y^{\prime\:}-2y=0
laplacetransformación f(t)=7sin(4(t+2))+3cos(4t-2)	laplacetransform\:f(t)=7\sin(4(t+2))+3\cos(4t-2)
integral de (2x)/(sqrt(x^2+3))	\int\:\frac{2x}{\sqrt{x^{2}+3}}dx
integral de sin^{-4}(x/5)cos^3(x/5)	\int\:\sin^{-4}(\frac{x}{5})\cos^{3}(\frac{x}{5})dx
f(x)=(0.46)+(-4.39x)+(-206x^2)+(2.8x^3)	f(x)=(0.46)+(-4.39x)+(-206x^{2})+(2.8x^{3})
límite cuando x tiende a-1 de (x^2)/(x^2-1)	\lim\:_{x\to\:-1}(\frac{x^{2}}{x^{2}-1})
derivada de cos(20x)	\frac{d}{dx}(\cos(20x))
tangent 7+5x+xe^x	tangent\:7+5x+xe^{x}
límite cuando x tiende a 8+de (x-9)/(x-8)	\lim\:_{x\to\:8+}(\frac{x-9}{x-8})
(\partial)/(\partial x)(ae^{ax+y})	\frac{\partial\:}{\partial\:x}(ae^{ax+y})
d/(dy)((cy(x))/(x^2+y^2))	\frac{d}{dy}(\frac{cy(x)}{x^{2}+y^{2}})
integral de 1/(tan^2(x)+1)	\int\:\frac{1}{\tan^{2}(x)+1}dx
y^{''}+4y^'+4y=0,y(1)=0,y^'(1)=1	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=0,y(1)=0,y^{\prime\:}(1)=1
derivative 0.001x^3+0.2x^2+36x+300	derivative\:0.001x^{3}+0.2x^{2}+36x+300
integral de e^{-x}cos(-x)	\int\:e^{-x}\cos(-x)dx
(dy)/(dx)=e^{8x-8y}	\frac{dy}{dx}=e^{8x-8y}
tangent y=(7x)/(3+x^2),(2,2)	tangent\:y=\frac{7x}{3+x^{2}},(2,2)
(\partial)/(\partial x)(3yuxuv^3-2)	\frac{\partial\:}{\partial\:x}(3yuxuv^{3}-2)
integral de 1/(x-4)	\int\:\frac{1}{x-4}dx
serie de n=8 a infinity de 1/n sin(1/n)	\sum\:_{n=8}^{\infty\:}\frac{1}{n}\sin(\frac{1}{n})
y^'=(ty)/(t+1),y(4)=1	y^{\prime\:}=\frac{ty}{t+1},y(4)=1
integral de 1/(x\sqrt[5]{x)}	\int\:\frac{1}{x\sqrt[5]{x}}dx
(x+y)dx+(3x+3y-4)dy=0	(x+y)dx+(3x+3y-4)dy=0
derivada de e^{-4x^3-2x+4}	\frac{d}{dx}(e^{-4x^{3}-2x+4})
derivative f(x)=6(ln(x+1))	derivative\:f(x)=6(\ln(x+1))
derivative e^x-x^7	derivative\:e^{x}-x^{7}
límite cuando x tiende a 0-de 9+2/x	\lim\:_{x\to\:0-}(9+\frac{2}{x})
área 2sin(10x),tan(10x),[-0.1,0.1]	area\:2\sin(10x),\tan(10x),[-0.1,0.1]
(\partial)/(\partial x)(1/t e^{(x^2)/(4t)})	\frac{\partial\:}{\partial\:x}(\frac{1}{t}e^{\frac{x^{2}}{4t}})
derivada de x^2(x+1^3)	\frac{d}{dx}(x^{2}(x+1)^{3})
integral de 3^{3x}	\int\:3^{3x}dx
integral de sec(7x)	\int\:\sec(7x)dx
derivada de (x^3-2tan(x))	\frac{d}{dx}((x^{3}-2)\tan(x))
integral de (x^6e^{x^7})	\int\:(x^{6}e^{x^{7}})dx
integral de (8x+12)/(x*(x^2+4))	\int\:\frac{8x+12}{x\cdot\:(x^{2}+4)}dx
(\partial)/(\partial x)(xsqrt(1+y^3))	\frac{\partial\:}{\partial\:x}(x\sqrt{1+y^{3}})
límite cuando x tiende a 1 de (2-2/x)^2	\lim\:_{x\to\:1}((2-\frac{2}{x})^{2})
tangent 3x^2-1,\at x=-2	tangent\:3x^{2}-1,\at\:x=-2
tangent y=(x^2+2)/(x+8),(3,1)	tangent\:y=\frac{x^{2}+2}{x+8},(3,1)
integral de 2e^{3x-5}	\int\:2e^{3x-5}dx
límite cuando x tiende a pi de tan((5x)/3)	\lim\:_{x\to\:π}(\tan(\frac{5x}{3}))
integral de-2+36x-12x^2	\int\:-2+36x-12x^{2}dx
límite cuando x tiende a 81 de x^{3/2}	\lim\:_{x\to\:81}(x^{\frac{3}{2}})
integral de (-9+9sin(x))/(cos(x))	\int\:\frac{-9+9\sin(x)}{\cos(x)}dx
integral de (4x^2)/(x^3+x^2-x-1)	\int\:\frac{4x^{2}}{x^{3}+x^{2}-x-1}dx
derivative f(x)= 1/(5-2e^x)	derivative\:f(x)=\frac{1}{5-2e^{x}}
integral de 3x-6	\int\:3x-6dx
integral de (9+7x)/(1+x^2)	\int\:\frac{9+7x}{1+x^{2}}dx
integral de (3x^2+4)/(0.3x^3+1.2x)	\int\:\frac{3x^{2}+4}{0.3x^{3}+1.2x}dx
derivative f(x)=x^6tan(x)	derivative\:f(x)=x^{6}\tan(x)
integral de 1/(sqrt(3+2x-x^2))	\int\:\frac{1}{\sqrt{3+2x-x^{2}}}dx

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