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Problemas populares

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Problemas populares de Cálculo

(\partial}{\partial z}(\frac{(7x+7y))/z)	\frac{\partial\:}{\partial\:z}(\frac{(7x+7y)}{z})
derivada de-9x	\frac{d}{dx}(-9x)
límite cuando x tiende a-3 de (x^2-1)/(3-x)	\lim\:_{x\to\:-3}(\frac{x^{2}-1}{3-x})
(dy)/(dx)=(2x)/(sqrt(1+x^2))	\frac{dy}{dx}=\frac{2x}{\sqrt{1+x^{2}}}
límite cuando x tiende a 0+de (4x)^{3/x}	\lim\:_{x\to\:0+}((4x)^{\frac{3}{x}})
derivative (sqrt(5x^4+x^2))/2	derivative\:\frac{\sqrt{5x^{4}+x^{2}}}{2}
tangent sqrt(x+49)	tangent\:\sqrt{x+49}
derivada de (2x/(x^2+5))	\frac{d}{dx}(\frac{2x}{x^{2}+5})
integral de 1/32768 sin(8x)	\int\:\frac{1}{32768}\sin(8x)dx
3xy^'-2y=(x^3)/(y^2)	3xy^{\prime\:}-2y=\frac{x^{3}}{y^{2}}
área x,2x,-x+2	area\:x,2x,-x+2
laplacetransformación te^{-4t}cos(5t)	laplacetransform\:te^{-4t}\cos(5t)
área-x^4,x^2-2x	area\:-x^{4},x^{2}-2x
derivada de (1-3e^x/(1-2cos(x)))	\frac{d}{dx}(\frac{1-3e^{x}}{1-2\cos(x)})
(\partial)/(\partial y)(e^{xy}+2x+3y)	\frac{\partial\:}{\partial\:y}(e^{xy}+2x+3y)
integral de 3e^{8x}	\int\:3e^{8x}dx
límite cuando x tiende a 0 de (1+2x)^x	\lim\:_{x\to\:0}((1+2x)^{x})
integral de (2x^3-5)/(3x^2)	\int\:\frac{2x^{3}-5}{3x^{2}}dx
integral de 1/(sqrt(7x)(1+7x))	\int\:\frac{1}{\sqrt{7x}(1+7x)}dx
derivada de 1/({g(x)(x)^2(x)})	\frac{d}{dx}(\frac{1}{{g}(x)(x)^{2}(x)})
integral de ((4x-3))/(x+1)	\int\:\frac{(4x-3)}{x+1}dx
límite cuando x tiende a 0 de-(e^{1/x})	\lim\:_{x\to\:0}(-(e^{\frac{1}{x}}))
derivative f(x)=2x^2+3	derivative\:f(x)=2x^{2}+3
derivada de x^{(1/3})	\frac{d}{dx}(x^{(\frac{1}{3})})
derivative f(x)=10x^2-56x+104	derivative\:f(x)=10x^{2}-56x+104
derivada de-1/(y-x)	\frac{d}{dx}(-\frac{1}{y-x})
integral de (x^2)/((x+2)^2(x+4)^2)	\int\:\frac{x^{2}}{(x+2)^{2}(x+4)^{2}}dx
integral de (2x)/(x^2-2)	\int\:\frac{2x}{x^{2}-2}dx
derivada de 2sqrt(2)cos(x)	\frac{d}{dx}(2\sqrt{2}\cos(x))
derivada de-2cos(xsin(x))	\frac{d}{dx}(-2\cos(x)\sin(x))
derivative y=(2x-1)^5(1-x^4)^4	derivative\:y=(2x-1)^{5}(1-x^{4})^{4}
inversalaplace 2/(s*(s^2+4s+6))	inverselaplace\:\frac{2}{s\cdot\:(s^{2}+4s+6)}
integral de 4sin(2x)+(2x^5-sqrt(x))/x	\int\:4\sin(2x)+\frac{2x^{5}-\sqrt{x}}{x}dx
integral de x/((5x^2-125)^{1/3)}	\int\:\frac{x}{(5x^{2}-125)^{\frac{1}{3}}}dx
y^'=0.0013y(3000-y)	y^{\prime\:}=0.0013y(3000-y)
2y^'+9y=3,y(0)=1	2y^{\prime\:}+9y=3,y(0)=1
límite cuando x tiende a 0-de-1/(x^2)	\lim\:_{x\to\:0-}(-\frac{1}{x^{2}})
derivada de (x+62)	\frac{d}{dx}((x+6)2)
integral de 0 a 3 de 1/(x^2)	\int\:_{0}^{3}\frac{1}{x^{2}}dx
derivative f(x)=ln(x+1)	derivative\:f(x)=\ln(x+1)
límite cuando x tiende a infinity de 1-2/x	\lim\:_{x\to\:\infty\:}(1-\frac{2}{x})
derivada de 1/((x+2))	\frac{d}{dx}(\frac{1}{(x+2)})
integral de (x^3)/(e^{3x^4)}	\int\:\frac{x^{3}}{e^{3x^{4}}}dx
tangent e^x,\at x=3	tangent\:e^{x},\at\:x=3
integral de 0 a 1 de x^3sqrt(1-x^2)	\int\:_{0}^{1}x^{3}\sqrt{1-x^{2}}dx
derivative-2/(3x^2)	derivative\:-\frac{2}{3x^{2}}
(\partial)/(\partial x)(2xy-3y^2)	\frac{\partial\:}{\partial\:x}(2xy-3y^{2})
derivada de (x^3+32^{-7x})	\frac{d}{dx}((x^{3}+3)2^{-7x})
derivada de 24x^2+8x-5	\frac{d}{dx}(24x^{2}+8x-5)
d/(dt)(2t+3)	\frac{d}{dt}(2t+3)
integral de 5 a 9 de 1/(x^2-1)	\int\:_{5}^{9}\frac{1}{x^{2}-1}dx
derivative \sqrt[3]{2+2x+x^3}	derivative\:\sqrt[3]{2+2x+x^{3}}
serie de n=3 a infinity de 3/4*1/(4^n)	\sum\:_{n=3}^{\infty\:}\frac{3}{4}\cdot\:\frac{1}{4^{n}}
(\partial)/(\partial z)(xz)	\frac{\partial\:}{\partial\:z}(xz)
área-x^2+3x+1,-x+1	area\:-x^{2}+3x+1,-x+1
derivative sqrt(t)e^{-t}	derivative\:\sqrt{t}e^{-t}
integral de 2-3e^x	\int\:2-3e^{x}dx
integral de picos(pix)	\int\:π\cos(πx)dx
límite cuando x tiende a 2 de sqrt(2x^2-4)	\lim\:_{x\to\:2}(\sqrt{2x^{2}-4})
inversalaplace s/((s^2-4)(s+2))	inverselaplace\:\frac{s}{(s^{2}-4)(s+2)}
derivada de 2/3 ln(1+3cos^2(x))	\frac{d}{dx}(\frac{2}{3}\ln(1+3\cos^{2}(x)))
integral de (x+3)/((3x-4)^{3/2)}	\int\:\frac{x+3}{(3x-4)^{\frac{3}{2}}}dx
(\partial)/(\partial x)(7x^4y-7xy^2)	\frac{\partial\:}{\partial\:x}(7x^{4}y-7xy^{2})
tangent f(x)=x^2-2,\at x=1	tangent\:f(x)=x^{2}-2,\at\:x=1
derivada de 6x^3e^x	\frac{d}{dx}(6x^{3}e^{x})
integral de 0 a pi/4 de 2sec^2(t)	\int\:_{0}^{\frac{π}{4}}2\sec^{2}(t)dt
derivative f(x)=(3x)/(1-x)	derivative\:f(x)=\frac{3x}{1-x}
límite cuando x tiende a 0 de 7/x	\lim\:_{x\to\:0}(\frac{7}{x})
derivative-(n(-1)^n)/(n+1)	derivative\:-\frac{n(-1)^{n}}{n+1}
integral de sin^2(x)*cos^2(x)	\int\:\sin^{2}(x)\cdot\:\cos^{2}(x)dx
tangent f(x)= 1/(x^6),(2, 1/64)	tangent\:f(x)=\frac{1}{x^{6}},(2,\frac{1}{64})
tangent y=x^3-2x+2	tangent\:y=x^{3}-2x+2
integral de x^4+cos(3x)	\int\:x^{4}+\cos(3x)dx
(\partial)/(\partial x)(ln(5x^2y^2))	\frac{\partial\:}{\partial\:x}(\ln(5x^{2}y^{2}))
derivada de (e^{x^3}/(sin(2x)))	\frac{d}{dx}(\frac{e^{x^{3}}}{\sin(2x)})
y^{''}-2y^'-3y=3e^{2x}	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=3e^{2x}
área y=x,y=3x,x+y=4	area\:y=x,y=3x,x+y=4
serie de n=1 a infinity de 0.99^n	\sum\:_{n=1}^{\infty\:}0.99^{n}
integral de sin(x+2)	\int\:\sin(x+2)dx
integral de x\sqrt[3]{x-2}	\int\:x\sqrt[3]{x-2}dx
límite cuando x tiende a 0-de (x^2)/8-4/x	\lim\:_{x\to\:0-}(\frac{x^{2}}{8}-\frac{4}{x})
integral de 2 a 4 de 1	\int\:_{2}^{4}1dx
derivada de (3x^2+3x-2(2x-1)(-2x))	\frac{d}{dx}((3x^{2}+3x-2)(2x-1)(-2x))
integral de 0 a 6 de 2pixsqrt(x^2+9)	\int\:_{0}^{6}2πx\sqrt{x^{2}+9}dx
derivative x^3+8	derivative\:x^{3}+8
derivada de 3/2 x^{1/2}-1/3 x^{2/3}	\frac{d}{dx}(\frac{3}{2}x^{\frac{1}{2}}-\frac{1}{3}x^{\frac{2}{3}})
límite cuando t tiende a 0 de 2/(1+t)	\lim\:_{t\to\:0}(\frac{2}{1+t})
(\partial)/(\partial x)(e^xy)	\frac{\partial\:}{\partial\:x}(e^{x}y)
integral de 0 a 8 de (1+\sqrt[3]{x})	\int\:_{0}^{8}(1+\sqrt[3]{x})dx
integral de e^{3/x}	\int\:e^{\frac{3}{x}}dx
inversalaplace (s-6)/(3s^2+s+12)	inverselaplace\:\frac{s-6}{3s^{2}+s+12}
integral de e^{x/2+3}	\int\:e^{\frac{x}{2}+3}dx
integral de (2y-1)/y	\int\:\frac{2y-1}{y}dy
derivative f(x)=e^5	derivative\:f(x)=e^{5}
derivada de-(128x/((16x^2+1)^2))	\frac{d}{dx}(-\frac{128x}{(16x^{2}+1)^{2}})
f(t)=(2t)/(1+t^2)	f(t)=\frac{2t}{1+t^{2}}
derivative f(x)=10x^4	derivative\:f(x)=10x^{4}
derivada de 9x^4y^8-2x^my^5-x^9y^n	\frac{d}{dx}(9x^{4}y^{8}-2x^{m}y^{5}-x^{9}y^{n})
integral de 0 a 1 de e^{x^5}	\int\:_{0}^{1}e^{x^{5}}dx
serie de n=5 a infinity de (7^n)/(10^n)	\sum\:_{n=5}^{\infty\:}\frac{7^{n}}{10^{n}}

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