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Problemas populares

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Problemas populares de Cálculo

tangent f(x)=3x^{2/3}-3,\at x=27	tangent\:f(x)=3x^{\frac{2}{3}}-3,\at\:x=27
derivada de 12x^{1/2}	\frac{d}{dx}(12x^{\frac{1}{2}})
integral de sin(9)	\int\:\sin(9)
integral de 1/(5-3x^2)	\int\:\frac{1}{5-3x^{2}}dx
integral de (e^y)/(e^y+1)	\int\:\frac{e^{y}}{e^{y}+1}dy
integral de 1/(5x^3-7x^2)	\int\:\frac{1}{5x^{3}-7x^{2}}dx
área x^2,x^k0,1	area\:x^{2},x^{k}0,1
integral de-infinity a 0 de 1/(7-3x)	\int\:_{-\infty\:}^{0}\frac{1}{7-3x}dx
integral de (20)/((100x^2+1)^2)	\int\:\frac{20}{(100x^{2}+1)^{2}}dx
d/(dt)(sin(t)-tcos(t))	\frac{d}{dt}(\sin(t)-t\cos(t))
9x^2y^2+x^{3/2}(dy)/(dx)=y^2	9x^{2}y^{2}+x^{\frac{3}{2}}\frac{dy}{dx}=y^{2}
derivative x/(x^{-1)+7}	derivative\:\frac{x}{x^{-1}+7}
integral de (w^3)/(w+1)	\int\:\frac{w^{3}}{w+1}dw
derivada de 19arctan(sqrt(x))	\frac{d}{dx}(19\arctan(\sqrt{x}))
derivative ln((6x^2+5)/(x^{4/5)})	derivative\:\ln(\frac{6x^{2}+5}{x^{\frac{4}{5}}})
inversalaplace (s+4)/(s^2+2s-3)	inverselaplace\:\frac{s+4}{s^{2}+2s-3}
derivative 5x^2+2x+6	derivative\:5x^{2}+2x+6
(\partial}{\partial x}(\frac{x^2+y^2)/2)	\frac{\partial\:}{\partial\:x}(\frac{x^{2}+y^{2}}{2})
y^{''}-2/x y^'-(10)/(x^2)y=0	y^{\prime\:\prime\:}-\frac{2}{x}y^{\prime\:}-\frac{10}{x^{2}}y=0
derivative cos(4x)	derivative\:\cos(4x)
tangent sqrt(3x+4),\at x=4	tangent\:\sqrt{3x+4},\at\:x=4
derivada de (5x/((x^2+2)^2))	\frac{d}{dx}(\frac{5x}{(x^{2}+2)^{2}})
f(x)=e^xx+2e^x	f(x)=e^{x}x+2e^{x}
integral de 1/(xsqrt(x^2-12))	\int\:\frac{1}{x\sqrt{x^{2}-12}}dx
derivada de cos(xsec^2(x))	\frac{d}{dx}(\cos(x)\sec^{2}(x))
integral de (2-x^2)/((x^3-6x+1)^5)	\int\:\frac{2-x^{2}}{(x^{3}-6x+1)^{5}}dx
integral de (3x-1)^4	\int\:(3x-1)^{4}dx
integral de 0 a 1 de (37)/(x^p)	\int\:_{0}^{1}\frac{37}{x^{p}}dx
derivada de e^{3x^2}*6x	\frac{d}{dx}(e^{3x^{2}}\cdot\:6x)
tangent y=2x^3+3x^2-12x+6	tangent\:y=2x^{3}+3x^{2}-12x+6
(d^2y)/(dt^2)+3(dy)/(dt)+y=1	\frac{d^{2}y}{dt^{2}}+3\frac{dy}{dt}+y=1
límite cuando x tiende a 2 de-10x+(10)	\lim\:_{x\to\:2}(-10x+(10))
derivative f(x)=28x-0.01x^2	derivative\:f(x)=28x-0.01x^{2}
implicit 3x^2-5y^2=4	implicit\:3x^{2}-5y^{2}=4
derivative 2x^3-12x^2-30x+9	derivative\:2x^{3}-12x^{2}-30x+9
integral de ln(9) a ln(25) de e^{x/2}	\int\:_{\ln(9)}^{\ln(25)}e^{\frac{x}{2}}dx
derivada de 144	\frac{d}{dx}(144)
área 5-x^2,sin(x),-2,2	area\:5-x^{2},\sin(x),-2,2
integral de (sqrt((16-9x^2)))/x	\int\:\frac{\sqrt{(16-9x^{2})}}{x}dx
integral de 1 a 3 de (2.25)/(x^3)	\int\:_{1}^{3}\frac{2.25}{x^{3}}dx
derivative (-3x^6-x^5+3x^4)/(x^2)	derivative\:\frac{-3x^{6}-x^{5}+3x^{4}}{x^{2}}
serie de n=1 a infinity de (-1/2)^{n-1}	\sum\:_{n=1}^{\infty\:}(-\frac{1}{2})^{n-1}
derivada de-5/2 x^9	\frac{d}{dx}(-\frac{5}{2}x^{9})
integral de 0 a x de ln(x)	\int\:_{0}^{x}\ln(x)dx
(d^2)/(dx^2)(x^3+3x^2-2x+8)	\frac{d^{2}}{dx^{2}}(x^{3}+3x^{2}-2x+8)
(dy)/(dx)= x/y ,y(1)=2	\frac{dy}{dx}=\frac{x}{y},y(1)=2
derivative (24)/(x^5)	derivative\:\frac{24}{x^{5}}
derivada de 10x+5/(x+1)	\frac{d}{dx}(10x+\frac{5}{x+1})
derivative x/2-1	derivative\:\frac{x}{2}-1
(\partial)/(\partial x)(4-\|x\|-\|y\|)	\frac{\partial\:}{\partial\:x}(4-\left\|x\right\|-\left\|y\right\|)
derivative 4xe^{-x}	derivative\:4xe^{-x}
integral de (x^3-3x+1)/(y+sqrt(y))	\int\:\frac{x^{3}-3x+1}{y+\sqrt{y}}dx
integral de (4e^{-0.8x})	\int\:(4e^{-0.8x})dx
(dx)/(dt)=e^{-kt}	\frac{dx}{dt}=e^{-kt}
área x^2,x^3	area\:x^{2},x^{3}
(\partial)/(\partial y)((x^2+y^2)^{3/2})	\frac{\partial\:}{\partial\:y}((x^{2}+y^{2})^{\frac{3}{2}})
(\partial)/(\partial x)(arctan(y/(x+a)))	\frac{\partial\:}{\partial\:x}(\arctan(\frac{y}{x+a}))
tangent f(x)=8x^2-x^3,\at x=1	tangent\:f(x)=8x^{2}-x^{3},\at\:x=1
integral de-x^2+5x-4	\int\:-x^{2}+5x-4dx
x*(dy)/(dx)+y= 1/(y^2)	x\cdot\:\frac{dy}{dx}+y=\frac{1}{y^{2}}
integral de 0 a e de x^2ln(x)	\int\:_{0}^{e}x^{2}\ln(x)dx
derivada de ln(x+e^x)	\frac{d}{dx}(\ln(x+e^{x}))
y^'=((1-y)^5)/4	y^{\prime\:}=\frac{(1-y)^{5}}{4}
derivative y=2xe^{-x}+2e^{x^5}	derivative\:y=2xe^{-x}+2e^{x^{5}}
integral de x^5-sec(x)+1/(2sqrt(x))	\int\:x^{5}-\sec(x)+\frac{1}{2\sqrt{x}}dx
integral de xIn^2x	\int\:xIn^{2}xdx
inversalaplace ((s+3))/((s+1)(s+2))	inverselaplace\:\frac{(s+3)}{(s+1)(s+2)}
integral de e^x-sin(x)	\int\:e^{x}-\sin(x)dx
taylor e^{0.42x}	taylor\:e^{0.42x}
integral de (-2x)/(1-x^2)	\int\:\frac{-2x}{1-x^{2}}dx
límite cuando x tiende a-2 de (2x^2)/(x+2)	\lim\:_{x\to\:-2}(\frac{2x^{2}}{x+2})
integral de 3z	\int\:3zdz
integral de 7/(x-3)	\int\:\frac{7}{x-3}dx
y^'=(2xsec(y/x)+y)/x	y^{\prime\:}=\frac{2x\sec(\frac{y}{x})+y}{x}
derivada de (x-4/3)	\frac{d}{dx}(\frac{x-4}{3})
derivative y=4x^3e^{-x}	derivative\:y=4x^{3}e^{-x}
integral de (-(x^3)/3-x^2+4/3)	\int\:(-\frac{x^{3}}{3}-x^{2}+\frac{4}{3})dx
taylor f(x)=e^x,x=0	taylor\:f(x)=e^{x},x=0
derivada de Ae^{3x}	\frac{d}{dx}(Ae^{3x})
tangent f(x)=5x^3,-10,15,\at x=0	tangent\:f(x)=5x^{3},-10,15,\at\:x=0
(\partial)/(\partial x)(sqrt(1-x^2-y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{1-x^{2}-y^{2}})
integral de-2 a 0 de y/2+sqrt(y+3)	\int\:_{-2}^{0}\frac{y}{2}+\sqrt{y+3}dy
derivada de (x^2+x^4)	\frac{d}{dx}((x^{2}+x)^{4})
derivative y=4x^3-10x^2	derivative\:y=4x^{3}-10x^{2}
y^{''}+4y=te^t	y^{\prime\:\prime\:}+4y=te^{t}
límite cuando x tiende a 2-de (4x+1)/(x-2)	\lim\:_{x\to\:2-}(\frac{4x+1}{x-2})
integral de x^2arccos(x)	\int\:x^{2}\arccos(x)dx
integral de 6sin^6(x)cos^3(x)	\int\:6\sin^{6}(x)\cos^{3}(x)dx
límite cuando x tiende a 4 de 4/(x-4)	\lim\:_{x\to\:4}(\frac{4}{x-4})
integral de sin^2(x^2)	\int\:\sin^{2}(x^{2})dx
límite cuando x tiende a-4-de (2-x)/(4-x)	\lim\:_{x\to\:-4-}(\frac{2-x}{4-x})
derivative x+4/x	derivative\:x+\frac{4}{x}
integral de-3cos(4x)	\int\:-3\cos(4x)dx
integral de 1 a sqrt(2 de)xe^{8x^2}	\int\:_{1}^{\sqrt{2}}xe^{8x^{2}}dx
xy^'+2y=-e^x	xy^{\prime\:}+2y=-e^{x}
y^'=-0.5y	y^{\prime\:}=-0.5y
derivative f(x)=x^2(-3x^2-2)	derivative\:f(x)=x^{2}(-3x^{2}-2)
integral de 1/(x(x+3))	\int\:\frac{1}{x(x+3)}dx
derivative 8e^{-x}	derivative\:8e^{-x}
derivada de ((tan(x-1))/(sec(x)))	\frac{d}{dx}(\frac{(\tan(x)-1)}{\sec(x)})

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