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Problemas populares

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Problemas populares de Cálculo

derivada de 2x^2+2y-8	\frac{d}{dx}(2x^{2}+2y-8)
límite cuando x tiende a+1+de 2/x-1/(ln(x))	\lim\:_{x\to\:+1+}(\frac{2}{x}-\frac{1}{\ln(x)})
tangent (x^2)/(6+sqrt(x))	tangent\:\frac{x^{2}}{6+\sqrt{x}}
(\partial)/(\partial x)(x^2-y^2+z^2-2z-4)	\frac{\partial\:}{\partial\:x}(x^{2}-y^{2}+z^{2}-2z-4)
tangent f(x)=x^2-8,(-5,17)	tangent\:f(x)=x^{2}-8,(-5,17)
(dy}{dx}=\frac{x^2+2)/y	\frac{dy}{dx}=\frac{x^{2}+2}{y}
límite cuando x tiende a-3 de-6	\lim\:_{x\to\:-3}(-6)
pendiente (-1.2)(-5.2)	slope\:(-1.2)(-5.2)
integral de-17sin^4(x)cos(x)	\int\:-17\sin^{4}(x)\cos(x)dx
x^3(dy)/(dx)=x^2y-y^3	x^{3}\frac{dy}{dx}=x^{2}y-y^{3}
derivative 5x^{1/3}-5x^{-2/3}	derivative\:5x^{\frac{1}{3}}-5x^{-\frac{2}{3}}
derivada de log_{2}(7-3x)	\frac{d}{dx}(\log_{2}(7-3x))
límite cuando x tiende a 0+de (tan(8x))^x	\lim\:_{x\to\:0+}((\tan(8x))^{x})
derivative (x^2+1)^x	derivative\:(x^{2}+1)^{x}
inversalaplace (16)/(s(s^2+4s+16))	inverselaplace\:\frac{16}{s(s^{2}+4s+16)}
derivative (1-y)/(x-1)	derivative\:\frac{1-y}{x-1}
derivada de (\sqrt[3]{x^2-9}/x)	\frac{d}{dx}(\frac{\sqrt[3]{x^{2}-9}}{x})
(\partial)/(\partial x)(1+y)	\frac{\partial\:}{\partial\:x}(1+y)
derivada de (arcsin(1-x^2)^4)	\frac{d}{dx}((\arcsin(1-x^{2}))^{4})
integral de 1 a 2 de 2x^4ln(x)	\int\:_{1}^{2}2x^{4}\ln(x)dx
integral de yxe^{xy}	\int\:yxe^{xy}dy
taylor e^{-2x},0	taylor\:e^{-2x},0
derivada de x+sqrt(x^2-1)	\frac{d}{dx}(x+\sqrt{x^{2}-1})
integral de (s*ln(s))/((1-s^2)^{1/2)}	\int\:\frac{s\cdot\:\ln(s)}{(1-s^{2})^{\frac{1}{2}}}ds
d/(d{x)}(ln(sqrt({x)^2+{y}^2+{z}^2}))	\frac{d}{d{x}}(\ln(\sqrt{{x}^{2}+{y}^{2}+{z}^{2}}))
(\partial)/(\partial x)(sqrt(x^5+y^5))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{5}+y^{5}})
(\partial)/(\partial x)((xy)^{0.5})	\frac{\partial\:}{\partial\:x}((xy)^{0.5})
y^'+sin(t)y=-sin(t),y(0)=3	y^{\prime\:}+\sin(t)y=-\sin(t),y(0)=3
laplacetransformación 80t^2	laplacetransform\:80t^{2}
tangent f(x)=x^2(1-x)^2,\at x=2	tangent\:f(x)=x^{2}(1-x)^{2},\at\:x=2
límite cuando x tiende a 0 de ((x-1)^2+1)/x	\lim\:_{x\to\:0}(\frac{(x-1)^{2}+1}{x})
inversalaplace ((s+1)^2)/((s-1)^3)	inverselaplace\:\frac{(s+1)^{2}}{(s-1)^{3}}
(\partial)/(\partial x)(2x^2y-3)	\frac{\partial\:}{\partial\:x}(2x^{2}y-3)
integral de x^2log_{10}(x)	\int\:x^{2}\log_{10}(x)dx
tangent f(x)=(x^2-3x+2)/(x^2-1)	tangent\:f(x)=\frac{x^{2}-3x+2}{x^{2}-1}
derivative y=2.8414x^2-1.2187x+0.5399	derivative\:y=2.8414x^{2}-1.2187x+0.5399
derivada de (x^2+sqrt(x)+2^{2/3})	\frac{d}{dx}((x^{2}+\sqrt{x}+2)^{\frac{2}{3}})
derivative y=sqrt(x^3+1)	derivative\:y=\sqrt{x^{3}+1}
derivative arcsin(x/4)	derivative\:\arcsin(\frac{x}{4})
límite cuando x tiende a infinity de x^{2x}	\lim\:_{x\to\:\infty\:}(x^{2x})
derivada de cos(2x+sin(2pi))	\frac{d}{dx}(\cos(2x)+\sin(2π))
integral de 1 a t de (25)/(x^3)	\int\:_{1}^{t}\frac{25}{x^{3}}dx
derivada de cos(x+a)	\frac{d}{dx}(\cos(x+a))
inversalaplace 7/(s^5)	inverselaplace\:\frac{7}{s^{5}}
integral de (x^2)/((a^2-x^2)^{3/2)}	\int\:\frac{x^{2}}{(a^{2}-x^{2})^{\frac{3}{2}}}dx
límite cuando x tiende a 0 de xInx	\lim\:_{x\to\:0}(xInx)
(4sin(2x))^'	(4\sin(2x))^{\prime\:}
integral de 3x^2*e^{x^3}	\int\:3x^{2}\cdot\:e^{x^{3}}dx
e^yy^'=e^y+5x,y(3)=7	e^{y}y^{\prime\:}=e^{y}+5x,y(3)=7
integral de 1/(81e^{-3x)+e^{3x}}	\int\:\frac{1}{81e^{-3x}+e^{3x}}dx
derivada de (cos(x)(sin(x)))	\frac{d}{dx}((\cos(x))(\sin(x)))
límite cuando x tiende a 4 de ((5-x))/(x-4)	\lim\:_{x\to\:4}(\frac{(5-x)}{x-4})
integral de-ln(4) a 0 de 4sqrt(3)e^t	\int\:_{-\ln(4)}^{0}4\sqrt{3}e^{t}dt
integral de 0 a x de x^2e^{-x/4}	\int\:_{0}^{x}x^{2}e^{-\frac{x}{4}}dx
límite cuando x tiende a infinity de x-e^x	\lim\:_{x\to\:\infty\:}(x-e^{x})
derivative-10(sqrt(I^2+x^2)-I)	derivative\:-10(\sqrt{I^{2}+x^{2}}-I)
pendiente (3,-4),(5,2)	slope\:(3,-4),(5,2)
integral de (x^2)/(sqrt(1-x^2))	\int\:\frac{x^{2}}{\sqrt{1-x^{2}}}dx
(\partial)/(\partial x)(2g(x)(x^{-2})(D/L))	\frac{\partial\:}{\partial\:x}(2g(x)\cdot\:(x^{-2})\cdot\:(\frac{D}{L}))
tangent f(x)= 7/(sqrt(x)),\at x=4	tangent\:f(x)=\frac{7}{\sqrt{x}},\at\:x=4
(\partial)/(\partial x)(11238x^{-0.852})	\frac{\partial\:}{\partial\:x}(11238x^{-0.852})
inversalaplace 5/(2(s+2)^2+8)	inverselaplace\:\frac{5}{2(s+2)^{2}+8}
tangent f(x)=2x^3+4x^2-5x-3,\at x=-1	tangent\:f(x)=2x^{3}+4x^{2}-5x-3,\at\:x=-1
(\partial)/(\partial y)((3x)/(2y))	\frac{\partial\:}{\partial\:y}(\frac{3x}{2y})
integral de-infinity a infinity de 1	\int\:_{-\infty\:}^{\infty\:}1dx
integral de 5t*sin^2(t)	\int\:5t\cdot\:\sin^{2}(t)dt
derivada de arctan(e^{3x})	\frac{d}{dx}(\arctan(e^{3x}))
límite cuando x tiende a 5 de 2/(x-5)	\lim\:_{x\to\:5}(\frac{2}{x-5})
derivada de tan(sin(x))	\frac{d}{dx}(\tan(\sin(x)))
integral de 1/(x^2sqrt(3x^2+4))	\int\:\frac{1}{x^{2}\sqrt{3x^{2}+4}}dx
derivative y=1n(x^3)	derivative\:y=1n(x^{3})
(\partial)/(\partial y)(x/(x^2+y^2+z^2))	\frac{\partial\:}{\partial\:y}(\frac{x}{x^{2}+y^{2}+z^{2}})
área y=2+\|x-1\|,y=-1/5 x+7	area\:y=2+\left\|x-1\right\|,y=-\frac{1}{5}x+7
integral de 1 a 5e de 1/(3x)	\int\:_{1}^{5e}\frac{1}{3x}dx
integral de (5ln(x))/x	\int\:\frac{5\ln(x)}{x}dx
integral de (2-3x)^5	\int\:(2-3x)^{5}dx
serie de n=5 a infinity de sin^2(n)	\sum\:_{n=5}^{\infty\:}\sin^{2}(n)
integral de 4sin(3t)+1.2e^{-6t}	\int\:4\sin(3t)+1.2e^{-6t}dt
tangent y= 2/x ,(-4,-1/2)	tangent\:y=\frac{2}{x},(-4,-\frac{1}{2})
integral de (3x)/(16-9x^2)	\int\:\frac{3x}{16-9x^{2}}dx
derivada de 1/(\sqrt[3]{a+bx^3})	\frac{d}{dx}(\frac{1}{\sqrt[3]{a+bx^{3}}})
límite cuando x tiende a 0+de xln(x^4)	\lim\:_{x\to\:0+}(x\ln(x^{4}))
(\partial)/(\partial x)(xln((x^2)/(y^3)))	\frac{\partial\:}{\partial\:x}(x\ln(\frac{x^{2}}{y^{3}}))
integral de-2 a 3 de (26)/(x^4)	\int\:_{-2}^{3}\frac{26}{x^{4}}dx
derivada de 1/(1+x^4)	\frac{d}{dx}(\frac{1}{1+x^{4}})
derivada de 4sec(x-8cos(x))	\frac{d}{dx}(4\sec(x)-8\cos(x))
área y=x^3,y=x,x>= 0	area\:y=x^{3},y=x,x\ge\:0
integral de 0 a 1 de x^9e^{x^5}	\int\:_{0}^{1}x^{9}e^{x^{5}}dx
límite cuando x tiende a 0 de ((ln(cos(2x))))/(x^2)	\lim\:_{x\to\:0}(\frac{(\ln(\cos(2x)))}{x^{2}})
x^2y^{''}+9xy^'-20y= 5/(x^3)	x^{2}y^{\prime\:\prime\:}+9xy^{\prime\:}-20y=\frac{5}{x^{3}}
derivative f(x)=csc(x)(x+cot(x))	derivative\:f(x)=\csc(x)(x+\cot(x))
límite cuando x tiende a 0 de 1/(x+5)	\lim\:_{x\to\:0}(\frac{1}{x+5})
(\partial)/(\partial x)((5x-y)^7)	\frac{\partial\:}{\partial\:x}((5x-y)^{7})
derivada de 4x^{5/4}+6x^{3/2}+9x	\frac{d}{dx}(4x^{\frac{5}{4}}+6x^{\frac{3}{2}}+9x)
integral de x^2-y	\int\:x^{2}-ydy
límite cuando x tiende a 0 de (x^2)/(2x)	\lim\:_{x\to\:0}(\frac{x^{2}}{2x})
integral de 0 a 1 de 2pi2/3x*2/3	\int\:_{0}^{1}2π\cdot\:\frac{2}{3}\cdot\:x\cdot\:\frac{2}{3}dx
derivada de ln(8x-5*7^{5x-2})	\frac{d}{dx}(\ln(8x-5)\cdot\:7^{5x-2})
pendiente (-6,-3),(3,-6)	slope\:(-6,-3),(3,-6)
derivada de 5x^2cos(x-4x)	\frac{d}{dx}(5x^{2}\cos(x)-4x)

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