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Problemas populares

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Problemas populares de Cálculo

derivada de 36x^{1/2}	\frac{d}{dx}(36x^{\frac{1}{2}})
derivative sqrt(3)x	derivative\:\sqrt{3}x
límite cuando h tiende a 0 de (h^2+2h)/h	\lim\:_{h\to\:0}(\frac{h^{2}+2h}{h})
integral de 0 a 1 de (e^{2x}+x^2+1)	\int\:_{0}^{1}(e^{2x}+x^{2}+1)dx
derivada de (1-xe^x/(1+e^x))	\frac{d}{dx}(\frac{1-xe^{x}}{1+e^{x}})
(\partial)/(\partial x)(x^2y^2-y^3+3x^4+5)	\frac{\partial\:}{\partial\:x}(x^{2}y^{2}-y^{3}+3x^{4}+5)
integral de 0 a 4 de 10x	\int\:_{0}^{4}10xdx
taylor f(x)= 1/(x^2)	taylor\:f(x)=\frac{1}{x^{2}}
y^{''}+2k^2y^'+k^4y=0	y^{\prime\:\prime\:}+2k^{2}y^{\prime\:}+k^{4}y=0
derivada de (2xsin(x)/(2+cos(x)))	\frac{d}{dx}(\frac{2x\sin(x)}{2+\cos(x)})
integral de (x^5+2x^2-1)/(x^4)	\int\:\frac{x^{5}+2x^{2}-1}{x^{4}}dx
tangent f(x)=(x-2)^{1/2},\at x=6	tangent\:f(x)=(x-2)^{\frac{1}{2}},\at\:x=6
integral de 5sin^3(x)	\int\:5\sin^{3}(x)dx
límite cuando t tiende a 1 de sin(-3pit)	\lim\:_{t\to\:1}(\sin(-3πt))
derivative y=e^{cos(3)x^2}	derivative\:y=e^{\cos(3)x^{2}}
tangent x^2+xy+2y^2=4,(1,1)	tangent\:x^{2}+xy+2y^{2}=4,(1,1)
derivative f(x)=2x^6+3sqrt(x)	derivative\:f(x)=2x^{6}+3\sqrt{x}
derivative 5/(e^x+e^{-x)}	derivative\:\frac{5}{e^{x}+e^{-x}}
implicit 2x^2+2x+xy=2	implicit\:2x^{2}+2x+xy=2
derivative f(x)=x^{-1/9}	derivative\:f(x)=x^{-\frac{1}{9}}
inversalaplace ((s-5))/((s^2-6s+25))	inverselaplace\:\frac{(s-5)}{(s^{2}-6s+25)}
derivada de (6x^7/(5tan(x)))	\frac{d}{dx}(\frac{6x^{7}}{5\tan(x)})
derivada de (2x+5x^{-2/5}/(x^2+1))	\frac{d}{dx}(\frac{2x+5x^{-\frac{2}{5}}}{x^{2}+1})
(\partial)/(\partial x)(x^4y^3-4x^2y+y^5)	\frac{\partial\:}{\partial\:x}(x^{4}y^{3}-4x^{2}y+y^{5})
tangent f(x)=cos((pix)/2),\at x=0.8	tangent\:f(x)=\cos(\frac{πx}{2}),\at\:x=0.8
derivative f(x)=2x^4e^x	derivative\:f(x)=2x^{4}e^{x}
integral de (x^3)/3-(5x^2)/2+6x+C	\int\:\frac{x^{3}}{3}-\frac{5x^{2}}{2}+6x+Cdx
integral de 1/(200+3t)	\int\:\frac{1}{200+3t}dt
serie de n=3 a infinity de 4/(n^2-1)	\sum\:_{n=3}^{\infty\:}\frac{4}{n^{2}-1}
límite cuando x tiende a 0 de-3e^{3x}	\lim\:_{x\to\:0}(-3e^{3x})
integral de xe^{-x/4}	\int\:xe^{-\frac{x}{4}}dx
tangent x+1/x ,\at x=4	tangent\:x+\frac{1}{x},\at\:x=4
integral de ln^2(c)osxtan(x)	\int\:\ln^{2}(c)osx\tan(x)
(dy)/(dx)+y=xy^3	\frac{dy}{dx}+y=xy^{3}
límite cuando x tiende a 22 de 2x^2-3x-5	\lim\:_{x\to\:22}(2x^{2}-3x-5)
serie de n=1 a infinity de 3/(3^n)	\sum\:_{n=1}^{\infty\:}\frac{3}{3^{n}}
serie de n=0 a infinity de 1/n	\sum\:_{n=0}^{\infty\:}\frac{1}{n}
integral de (t^2)/(sqrt(t^3+7))	\int\:\frac{t^{2}}{\sqrt{t^{3}+7}}dt
(dy)/(dx)+8y-8e^{-5x}=0,y(0)= 5/3	\frac{dy}{dx}+8y-8e^{-5x}=0,y(0)=\frac{5}{3}
serie de n=1 a infinity de 4/(n^4)	\sum\:_{n=1}^{\infty\:}\frac{4}{n^{4}}
tangent y= 6/(x-1),(3,3)	tangent\:y=\frac{6}{x-1},(3,3)
integral de 1/(y^2+9)	\int\:\frac{1}{y^{2}+9}dy
derivative (14x-x^2)^3	derivative\:(14x-x^{2})^{3}
tangent f(x)= 1/(sqrt(x)),\at x=9	tangent\:f(x)=\frac{1}{\sqrt{x}},\at\:x=9
derivative 4/(e^{2x)}	derivative\:\frac{4}{e^{2x}}
límite cuando x tiende a 0 de (5/6)^{1/x}	\lim\:_{x\to\:0}((\frac{5}{6})^{\frac{1}{x}})
taylor (1-x^2)^{-1/2}	taylor\:(1-x^{2})^{-\frac{1}{2}}
d/(dt)(e^{-t^2})	\frac{d}{dt}(e^{-t^{2}})
integral de xln^2(5x)	\int\:x\ln^{2}(5x)dx
integral de 2x+3y	\int\:2x+3ydx
(2y+2t-3)dt+(8y+2t-1)dy=0,y(-1)=2	(2y+2t-3)dt+(8y+2t-1)dy=0,y(-1)=2
derivada de log_{8}((x^38^x/(3x+1)))	\frac{d}{dx}(\log_{8}(\frac{x^{3}8^{x}}{3x+1}))
((2x+1)^{-1})^'	((2x+1)^{-1})^{\prime\:}
derivative f(x)=2sqrt(x)-1/(2sqrt(x))	derivative\:f(x)=2\sqrt{x}-\frac{1}{2\sqrt{x}}
derivative 12x^2-7x-4	derivative\:12x^{2}-7x-4
d/(da)((-9)-(-7a))	\frac{d}{da}((-9)-(-7a))
y^'+x^{-1}y=xy^2	y^{\prime\:}+x^{-1}y=xy^{2}
tangent f(x)=e^x,\at x=0	tangent\:f(x)=e^{x},\at\:x=0
f(x)=7x^3+7x^2+7x+3	f(x)=7x^{3}+7x^{2}+7x+3
derivada de (x^4-1^3(x^3+1)^4)	\frac{d}{dx}((x^{4}-1)^{3}(x^{3}+1)^{4})
integral de 1 a 2 de 1/(8-3t)	\int\:_{1}^{2}\frac{1}{8-3t}dt
tangent f(x)=x^2-1,\at x=0	tangent\:f(x)=x^{2}-1,\at\:x=0
límite cuando x tiende a-2 de 1/((x+2)^2)	\lim\:_{x\to\:-2}(\frac{1}{(x+2)^{2}})
integral de j	\int\:j
integral de (x)sin(x)	\int\:(x)\sin(x)dx
derivada de ln(8-x^2)	\frac{d}{dx}(\ln(8-x^{2}))
derivative y=arcsin(5x+1)	derivative\:y=\arcsin(5x+1)
(\partial)/(\partial x)(y^5cos(4x))	\frac{\partial\:}{\partial\:x}(y^{5}\cos(4x))
(\partial)/(\partial x)((x^2+y^2)^{-15/2}x)	\frac{\partial\:}{\partial\:x}((x^{2}+y^{2})^{-\frac{15}{2}}x)
límite cuando x tiende a 0-de 3/x	\lim\:_{x\to\:0-}(\frac{3}{x})
derivada de (ln(x)^6)	\frac{d}{dx}((\ln(x))^{6})
integral de (x^3-3x^2+5)/(x-3)	\int\:\frac{x^{3}-3x^{2}+5}{x-3}dx
taylor 1/(1-x),24	taylor\:\frac{1}{1-x},24
integral de sqrt(8x+2)	\int\:\sqrt{8x+2}dx
integral de ln(x)sqrt(x)	\int\:\ln(x)\sqrt{x}dx
derivative (1/(x^2)-5/(x^4))(x+7x^3)	derivative\:(\frac{1}{x^{2}}-\frac{5}{x^{4}})(x+7x^{3})
límite cuando x tiende a 6+de (x+3)/(6-x)	\lim\:_{x\to\:6+}(\frac{x+3}{6-x})
inversalaplace 1/(s(s-1)^2)	inverselaplace\:\frac{1}{s(s-1)^{2}}
derivada de (q^2+45q+875/3)=0	\frac{d}{dx}(\frac{q^{2}+45q+875}{3})=0
tangent f(x)=8x-3x^2,(-3,-51)	tangent\:f(x)=8x-3x^{2},(-3,-51)
laplacetransformación e^3	laplacetransform\:e^{3}
f(x)=-3sqrt(x)	f(x)=-3\sqrt{x}
derivada de sqrt(4-x^2-y^2)	\frac{d}{dx}(\sqrt{4-x^{2}-y^{2}})
derivative log_{10}(x+5)	derivative\:\log_{10}(x+5)
x((dy)/(dx))+3y= 1/x	x(\frac{dy}{dx})+3y=\frac{1}{x}
derivada de sin(2xsin(x))	\frac{d}{dx}(\sin(2x)\sin(x))
implicit (dy)/(dx),25x=y^4	implicit\:\frac{dy}{dx},25x=y^{4}
derivada de (9x^6+4x^3^4)	\frac{d}{dx}((9x^{6}+4x^{3})^{4})
área 6x^2,x^2+9	area\:6x^{2},x^{2}+9
integral de 2xe^{-3x}	\int\:2xe^{-3x}dx
(dy)/(dx)(y)=sqrt(7-9tan(x))	\frac{dy}{dx}(y)=\sqrt{7-9\tan(x)}
tangent f(x)=3x^2-2x	tangent\:f(x)=3x^{2}-2x
implicit (dy)/(dx),xy=1	implicit\:\frac{dy}{dx},xy=1
derivative f(x)=sqrt(x)+1/x	derivative\:f(x)=\sqrt{x}+\frac{1}{x}
límite cuando x tiende a a+de (cos(x)ln(x-a))/(ln(e^x-e^a))	\lim\:_{x\to\:a+}(\frac{\cos(x)\ln(x-a)}{\ln(e^{x}-e^{a})})
derivada de xe^{(-2x^2})	\frac{d}{dx}(xe^{(-2x^{2})})
área \|x\|, x/2+3	area\:\left\|x\right\|,\frac{x}{2}+3
tangent x^3-4x^2-9x+9	tangent\:x^{3}-4x^{2}-9x+9
integral de 1/(4+(x-1)^2)	\int\:\frac{1}{4+(x-1)^{2}}dx
derivada de x^3*sin(x)	\frac{d}{dx}(x^{3}\cdot\:\sin(x))

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