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Problemas populares Cálculo

(\partial)/(\partial y)(-xy^2)	\frac{\partial\:}{\partial\:y}(-xy^{2})
derivative y=2xe^{-6x}-4e^{x^3}	derivative\:y=2xe^{-6x}-4e^{x^{3}}
tangent f(x)=(10x)/(x^2-6),(4,4)	tangent\:f(x)=\frac{10x}{x^{2}-6},(4,4)
derivative 4x^2-3	derivative\:4x^{2}-3
integral de \sqrt[7]{x^2}+xsqrt(x)	\int\:\sqrt[7]{x^{2}}+x\sqrt{x}dx
derivative y=x^2+4x+3	derivative\:y=x^{2}+4x+3
serie de n=0 a infinity de sin(1/(n^2))	\sum\:_{n=0}^{\infty\:}\sin(\frac{1}{n^{2}})
límite cuando x tiende a 0 de (1/(1+x)-1)/x	\lim\:_{x\to\:0}(\frac{\frac{1}{1+x}-1}{x})
derivative ln(3-x^3)	derivative\:\ln(3-x^{3})
integral de ln(x^2+x+1)	\int\:\ln(x^{2}+x+1)dx
integral de 8sec^3(x)	\int\:8\sec^{3}(x)dx
(\partial)/(\partial y)(x^2*ln(y))	\frac{\partial\:}{\partial\:y}(x^{2}\cdot\:\ln(y))
4y^{''}-6y^'+7y=15	4y^{\prime\:\prime\:}-6y^{\prime\:}+7y=15
integral de 0cos(x)	\int\:0\cos(x)dx
área x(x^2-10x+30),x^2	area\:x(x^{2}-10x+30),x^{2}
integral de cot^7(x)	\int\:\cot^{7}(x)dx
integral de 9cos^2(θ)	\int\:9\cos^{2}(θ)dθ
derivative [3(3x^5+6)^3](12x^3)	derivative\:[3(3x^{5}+6)^{3}](12x^{3})
área x=9y^3,x=23y^2	area\:x=9y^{3},x=23y^{2}
(\partial)/(\partial z)(e^{xy})	\frac{\partial\:}{\partial\:z}(e^{xy})
derivative f(x)=(2x+1)^5	derivative\:f(x)=(2x+1)^{5}
derivative ((1-x))/((x+2))	derivative\:\frac{(1-x)}{(x+2)}
x^3y^'+4x^2y=e^{-x}	x^{3}y^{\prime\:}+4x^{2}y=e^{-x}
integral de 1/(cot(x))	\int\:\frac{1}{\cot(x)}dx
derivative g(x)=sqrt(x+x^3)	derivative\:g(x)=\sqrt{x+x^{3}}
integral de (1+cos(2x))/2	\int\:\frac{1+\cos(2x)}{2}dx
f(x)=(sec(x)+tan(x))/(sec(x)-tan(x))	f(x)=\frac{\sec(x)+\tan(x)}{\sec(x)-\tan(x)}
derivada de (4x/((x+1)))	\frac{d}{dx}(\frac{4x}{(x+1)})
integral de 1/(4+3x^2)	\int\:\frac{1}{4+3x^{2}}dx
integral de (x+4)cos(n)pix	\int\:(x+4)\cos(n)πxdx
integral de 14sin^2(x)cos^3(x)	\int\:14\sin^{2}(x)\cos^{3}(x)dx
(\partial)/(\partial x)(1/(1/x+c/x+k))	\frac{\partial\:}{\partial\:x}(\frac{1}{\frac{1}{x}+\frac{c}{x}+k})
(\partial)/(\partial x)(-y(y+sin(x)))	\frac{\partial\:}{\partial\:x}(-y(y+\sin(x)))
simplificar 1-(3x)/(x^3+27)	simplify\:1-\frac{3x}{x^{3}+27}
integral de 1/(x^2+12x+35)	\int\:\frac{1}{x^{2}+12x+35}dx
slopeintercept (-4.4)(-1.5)	slopeintercept\:(-4.4)(-1.5)
derivada de 9/(sin(x+cos(x)))	\frac{d}{dx}(\frac{9}{\sin(x)+\cos(x)})
derivative \sqrt[5]{x}+4sqrt(x^5)	derivative\:\sqrt[5]{x}+4\sqrt{x^{5}}
pendiente (-3, 2/5),(4, 3/10)	slope\:(-3,\frac{2}{5}),(4,\frac{3}{10})
límite cuando h tiende a 0 de (1/(1+h)-1)/h	\lim\:_{h\to\:0}(\frac{\frac{1}{1+h}-1}{h})
integral de 5/6 x^{6/5}	\int\:\frac{5}{6}x^{\frac{6}{5}}dx
área f(x)=12x+x^2-x^3,g(x)=0	area\:f(x)=12x+x^{2}-x^{3},g(x)=0
derivative (sqrt(s)-7)/(sqrt(s)+3)	derivative\:\frac{\sqrt{s}-7}{\sqrt{s}+3}
pendiente ((x^2))/(x+7)	slope\:\frac{(x^{2})}{x+7}
(\partial)/(\partial x)(x^2+y^2+(x+y)^2)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+(x+y)^{2})
(\partial)/(\partial x)(1/((1+e^{-x))})	\frac{\partial\:}{\partial\:x}(\frac{1}{(1+e^{-x})})
derivada de log_{10}((x-3^2))	\frac{d}{dx}(\log_{10}((x-3)^{2}))
integral de (4x^2+1)/(sqrt(2x+5))	\int\:\frac{4x^{2}+1}{\sqrt{2x+5}}dx
integral de e^{-3/2 t}	\int\:e^{-\frac{3}{2}t}dt
derivative sqrt(3x^2+4x+8)	derivative\:\sqrt{3x^{2}+4x+8}
derivative (x^2+7)^5	derivative\:(x^{2}+7)^{5}
área x,x^3-x^2-x	area\:x,x^{3}-x^{2}-x
área 2sin(x),4cos(x),[0,0.6pi]	area\:2\sin(x),4\cos(x),[0,0.6π]
derivada de (x^5-x^3+3^4)	\frac{d}{dx}((x^{5}-x^{3}+3)^{4})
3y^'+sqrt(x)y=5sqrt(x)	3y^{\prime\:}+\sqrt{x}y=5\sqrt{x}
derivada de x^{x^5}	\frac{d}{dx}(x^{x^{5}})
integral de (-3e^x+4/x)	\int\:(-3e^{x}+\frac{4}{x})dx
integral de 7 a 8 de e^{7-x}	\int\:_{7}^{8}e^{7-x}dx
derivada de sin(2)	\frac{d}{dx}(\sin(2))
integral de 2xsqrt(x^2+1)	\int\:2x\sqrt{x^{2}+1}dx
2y^{''}-54y=0,y(1)=1,y(2)=2	2y^{\prime\:\prime\:}-54y=0,y(1)=1,y(2)=2
límite cuando x tiende a 0 de x(ln(x))	\lim\:_{x\to\:0}(x(\ln(x)))
integral de 0 a 4 de x^2	\int\:_{0}^{4}x^{2}dx
d/(dy)(x+sqrt(y))	\frac{d}{dy}(x+\sqrt{y})
integral de x^2sqrt(2-x)	\int\:x^{2}\sqrt{2-x}dx
derivative f(x)=(x(x^2+4))/(x-2)	derivative\:f(x)=\frac{x(x^{2}+4)}{x-2}
integral de 7x^{-8/9}	\int\:7x^{-\frac{8}{9}}dx
(y^')/(x^3+y)= 1/x	\frac{y^{\prime\:}}{x^{3}+y}=\frac{1}{x}
integral de (cotan(ln(x)))/(2x)	\int\:\frac{co\tan(\ln(x))}{2x}
(\partial ^2)/(\partial y^2)(x^3+3xy^2)	\frac{\partial\:^{2}}{\partial\:y^{2}}(x^{3}+3xy^{2})
límite cuando x tiende a 0-de 2/(e^x+1)	\lim\:_{x\to\:0-}(\frac{2}{e^{x}+1})
tangent sqrt(x) 1/(sqrt(x^3))	tangent\:\sqrt{x}\frac{1}{\sqrt{x^{3}}}
(dy)/(dx)+3y=e^{-3x}	\frac{dy}{dx}+3y=e^{-3x}
derivative (2x-5)/(x^2-1)	derivative\:\frac{2x-5}{x^{2}-1}
límite cuando x tiende a-1 de arctan(x)	\lim\:_{x\to\:-1}(\arctan(x))
derivada de arcsinh((2x+5/(sqrt(23))))	\frac{d}{dx}(\arcsinh(\frac{2x+5}{\sqrt{23}}))
derivada de-sqrt(3x)	\frac{d}{dx}(-\sqrt{3x})
derivative sin(\sqrt[3]{x+1})	derivative\:\sin(\sqrt[3]{x+1})
derivative-8/(x^2)-8/x	derivative\:-\frac{8}{x^{2}}-\frac{8}{x}
integral de 2 a 3 de (20)/(sqrt(3-x))	\int\:_{2}^{3}\frac{20}{\sqrt{3-x}}dx
(\partial)/(\partial x)(3cos(xy))	\frac{\partial\:}{\partial\:x}(3\cos(xy))
maclaurin 1/((1-3*x^3)^3)	maclaurin\:\frac{1}{(1-3\cdot\:x^{3})^{3}}
tangent f(x)=sqrt(10x),(10,10)	tangent\:f(x)=\sqrt{10x},(10,10)
integral de (x-1)/(x^2-4x+5)	\int\:\frac{x-1}{x^{2}-4x+5}dx
(dy)/(dx)+y=-1,y(0)=1	\frac{dy}{dx}+y=-1,y(0)=1
derivative 2sqrt(x-3)	derivative\:2\sqrt{x-3}
tangent f(x)=sqrt(3x+4),\at x=4	tangent\:f(x)=\sqrt{3x+4},\at\:x=4
tangent f(x)=x^4-32x^2+256,\at (1,)	tangent\:f(x)=x^{4}-32x^{2}+256,\at\:(1,)
integral de cos(θ)	\int\:\cos(θ)dθ
integral de (sqrt(n))/(n+1)	\int\:\frac{\sqrt{n}}{n+1}dn
integral de (3sqrt(x)+(10)/(x^6))	\int\:(3\sqrt{x}+\frac{10}{x^{6}})dx
tangent f(x)=3x^{1/2}+x^{3/2},\at x=9	tangent\:f(x)=3x^{\frac{1}{2}}+x^{\frac{3}{2}},\at\:x=9
integral de 6sin(2t)	\int\:6\sin(2t)dt
integral de 1/((2x-1)^2(x^2-2x+2))	\int\:\frac{1}{(2x-1)^{2}(x^{2}-2x+2)}dx
derivative f(x)=(x^3+3x^2+1)^{-3}	derivative\:f(x)=(x^{3}+3x^{2}+1)^{-3}
límite cuando x tiende a infinity de 2-1	\lim\:_{x\to\:\infty\:}(2-1)
integral de (x^2-9)	\int\:(x^{2}-9)dx
integral de (x(x-6))/((x-3)^3)	\int\:\frac{x(x-6)}{(x-3)^{3}}dx
integral de 3/(9-4x^2)	\int\:\frac{3}{9-4x^{2}}dx
y^{''}-y^'-6y=-4e^{2t},y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-y^{\prime\:}-6y=-4e^{2t},y(0)=0,y^{\prime\:}(0)=0

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