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Problemas populares Cálculo

límite cuando x tiende a 5 de h(x)	\lim\:_{x\to\:5}(h(x))
y^'+5(tan(5x))y=-8(cos(5x))	y^{\prime\:}+5(\tan(5x))y=-8(\cos(5x))
laplacetransform 1-cos(7t)	laplacetransform\:1-\cos(7t)
derivada de (2x+1/(x^2+1))	\frac{d}{dx}(\frac{2x+1}{x^{2}+1})
límite cuando x tiende a 0 de (e^x+1)^{1/x}	\lim\:_{x\to\:0}((e^{x}+1)^{\frac{1}{x}})
área x=y(y-13),x=-y(y-13)	area\:x=y(y-13),x=-y(y-13)
derivada de e^xsin(x+cos(x)e^x)	\frac{d}{dx}(e^{x}\sin(x)+\cos(x)e^{x})
derivada de (-6x/((x^2-4)^2))	\frac{d}{dx}(\frac{-6x}{(x^{2}-4)^{2}})
integral de e^{x^{0.5}}	\int\:e^{x^{0.5}}dx
(\partial)/(\partial x)(ax^by^{(1-b)})	\frac{\partial\:}{\partial\:x}(ax^{b}y^{(1-b)})
(dy)/(dx)=(-10x^4y)	\frac{dy}{dx}=(-10x^{4}y)
derivada de 1/6 x^3	\frac{d}{dx}(\frac{1}{6}x^{3})
(dy)/(dx)=4x^3y-y	\frac{dy}{dx}=4x^{3}y-y
integral de sqrt(9+25x^2)	\int\:\sqrt{9+25x^{2}}dx
límite cuando x tiende a 4 de ((x^4)/4)+1	\lim\:_{x\to\:4}((\frac{x^{4}}{4})+1)
laplacetransform tcos(t)	laplacetransform\:t\cos(t)
integral de (x^2-1)	\int\:(x^{2}-1)dx
y^{''}-10y^'+9y=27	y^{\prime\:\prime\:}-10y^{\prime\:}+9y=27
derivada de x^2-4x+4	\frac{d}{dx}(x^{2}-4x+4)
derivada de 3/(sqrt(x^5))	\frac{d}{dx}(\frac{3}{\sqrt{x^{5}}})
límite cuando x tiende a 2 de (x-2)^4(5x^2)	\lim\:_{x\to\:2}((x-2)^{4}(5x^{2}))
derivative (e^x)/(x^3+1)	derivative\:\frac{e^{x}}{x^{3}+1}
integral de 1/(x(x-2)^2)	\int\:\frac{1}{x(x-2)^{2}}dx
integral de 0 a infinity de 1/(x^2-1)	\int\:_{0}^{\infty\:}\frac{1}{x^{2}-1}dx
taylor (1+x)^{(-4)},0	taylor\:(1+x)^{(-4)},0
integral de 1/(1-x-2x^2)	\int\:\frac{1}{1-x-2x^{2}}dx
integral de-125 a 64 de 1/(x^{1/3)}	\int\:_{-125}^{64}\frac{1}{x^{\frac{1}{3}}}dx
(\partial)/(\partial y)(xyz^2)	\frac{\partial\:}{\partial\:y}(xyz^{2})
límite cuando x tiende a infinity de-0.5^x	\lim\:_{x\to\:\infty\:}(-0.5^{x})
derivative ln(sin(4x))	derivative\:\ln(\sin(4x))
(\partial)/(\partial x)(xyz^2)	\frac{\partial\:}{\partial\:x}(xyz^{2})
d/(dy)(xy+ysqrt(x^2+y^2))	\frac{d}{dy}(xy+y\sqrt{x^{2}+y^{2}})
derivada de 2190*e^{-0.3x}	\frac{d}{dx}(2190\cdot\:e^{-0.3x})
límite cuando x tiende a pi/2+de 3e^{tan(x)}	\lim\:_{x\to\:\frac{π}{2}+}(3e^{\tan(x)})
derivada de sin(x^2+((1-x))/(1+x))	\frac{d}{dx}(\sin(x^{2})+\frac{(1-x)}{1+x})
integral de 15sin^3(xco)s^2x	\int\:15\sin^{3}(xco)s^{2}xdx
(\partial)/(\partial x)(x+y-3)	\frac{\partial\:}{\partial\:x}(x+y-3)
integral de 1/2-1/4 \|x-3\|	\int\:\frac{1}{2}-\frac{1}{4}\left\|x-3\right\|dx
tangent y=(3x+1/x)^2,(1,16)	tangent\:y=(3x+\frac{1}{x})^{2},(1,16)
integral de sec^2(x)(cos^3(x)+1)	\int\:\sec^{2}(x)(\cos^{3}(x)+1)dx
límite cuando x tiende a 1+de ln(sqrt(x)-1)	\lim\:_{x\to\:1+}(\ln(\sqrt{x}-1))
integral de 0 a infinity de e^{-4t}	\int\:_{0}^{\infty\:}e^{-4t}dt
derivative pi^4	derivative\:π^{4}
límite cuando x tiende a infinity de x-2	\lim\:_{x\to\:\infty\:}(x-2)
x^'=x(1-x)	x^{\prime\:}=x(1-x)
(dx}{dy}=-\frac{4y)/x	\frac{dx}{dy}=-\frac{4y}{x}
yln(x)y^'=((y+1)/x)^2	y\ln(x)y^{\prime\:}=(\frac{y+1}{x})^{2}
derivative (e^{2x})/x	derivative\:\frac{e^{2x}}{x}
derivative f(x)=(x^2-2)/(2x+1)	derivative\:f(x)=\frac{x^{2}-2}{2x+1}
(dy)/(dx)=x^8y^{-5}	\frac{dy}{dx}=x^{8}y^{-5}
(3xy^2-3)dx+(3x^2y+4)dy=0	(3xy^{2}-3)dx+(3x^{2}y+4)dy=0
integral de ((sqrt(x)+7)^3)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+7)^{3}}{2\sqrt{x}}dx
(dP)/(dt)=2sqrt(Pt),P(1)=7	\frac{dP}{dt}=2\sqrt{Pt},P(1)=7
(\partial)/(\partial x)(x/(1-x^2y^2))	\frac{\partial\:}{\partial\:x}(\frac{x}{1-x^{2}y^{2}})
tangent y=x^2+4	tangent\:y=x^{2}+4
derivative f(x^3-x)	derivative\:f(x^{3}-x)
(\partial)/(\partial y)(cos(y)+ye^x)	\frac{\partial\:}{\partial\:y}(\cos(y)+ye^{x})
integral de 4sec(4x)tan(4x)	\int\:4\sec(4x)\tan(4x)dx
tangent sqrt(x+9),\at x=7	tangent\:\sqrt{x+9},\at\:x=7
derivada de (2x-5/((x^2+4)^3))	\frac{d}{dx}(\frac{2x-5}{(x^{2}+4)^{3}})
integral de sqrt(x)(x+x^{-1})	\int\:\sqrt{x}(x+x^{-1})dx
derivada de 8cos(xsin(x))	\frac{d}{dx}(8\cos(x)\sin(x))
y^'=y(3-y)	y^{\prime\:}=y(3-y)
integral de 3^{x/2}	\int\:3^{\frac{x}{2}}dx
(\partial)/(\partial x)(7yzln(x))	\frac{\partial\:}{\partial\:x}(7yz\ln(x))
tangent y= 3/(sqrt(x)),(1,3)	tangent\:y=\frac{3}{\sqrt{x}},(1,3)
integral de (3x+1)/((x-4)(x-2))	\int\:\frac{3x+1}{(x-4)(x-2)}dx
derivada de (x^2-8x+12/((x-4)^2))	\frac{d}{dx}(\frac{x^{2}-8x+12}{(x-4)^{2}})
serie de n=0 a infinity de (x^n)/(n+3)	\sum\:_{n=0}^{\infty\:}\frac{x^{n}}{n+3}
d/(dy)(e^{xy^2})	\frac{d}{dy}(e^{xy^{2}})
derivada de-2/(sqrt(x))	\frac{d}{dx}(-\frac{2}{\sqrt{x}})
3x^3(1+y^2)dx+xdy=0	3x^{3}(1+y^{2})dx+xdy=0
integral de sqrt((5-x)/(5+x))	\int\:\sqrt{\frac{5-x}{5+x}}dx
integral de (3/2)	\int\:(\frac{3}{2})dx
derivada de (x^2+1^3(x^2+2)^6)	\frac{d}{dx}((x^{2}+1)^{3}(x^{2}+2)^{6})
integral de 2 a 3 de (14)/(sqrt(3-x))	\int\:_{2}^{3}\frac{14}{\sqrt{3-x}}dx
límite cuando x tiende a 0 de (2x+1)/(x^3)	\lim\:_{x\to\:0}(\frac{2x+1}{x^{3}})
derivative e^{e^x+x}	derivative\:e^{e^{x}+x}
derivative 4/(2x+3)	derivative\:\frac{4}{2x+3}
integral de 1/((x^2+25)^3)	\int\:\frac{1}{(x^{2}+25)^{3}}dx
(\partial)/(\partial x)((3x^2+5x+1)^{3/2})	\frac{\partial\:}{\partial\:x}((3x^{2}+5x+1)^{\frac{3}{2}})
integral de xsqrt(5/2x^2+7)	\int\:x\cdot\:\sqrt{\frac{5}{2}\cdot\:x^{2}+7}dx
integral de 0 a 2 de 2^{-x}	\int\:_{0}^{2}2^{-x}dx
(\partial)/(\partial y)(1/(x^2+y))	\frac{\partial\:}{\partial\:y}(\frac{1}{x^{2}+y})
límite cuando x tiende a 0 de 2(1+3x)^{2/x}	\lim\:_{x\to\:0}(2(1+3x)^{\frac{2}{x}})
derivada de (3x^2+2x/(4x-2))	\frac{d}{dx}(\frac{3x^{2}+2x}{4x-2})
maclaurin ln(3+x)	maclaurin\:\ln(3+x)
integral de 1/(x^2sqrt(x^2-25))	\int\:\frac{1}{x^{2}\sqrt{x^{2}-25}}dx
derivative f(x)=3sin(x)+3cos(x)	derivative\:f(x)=3\sin(x)+3\cos(x)
pendiente (-4,8),(-3,8)	slope\:(-4,8),(-3,8)
derivative sin(1/(x^2))	derivative\:\sin(\frac{1}{x^{2}})
f^{''}(x)=9x^3+4x^2+7x	f^{\prime\:\prime\:}(x)=9x^{3}+4x^{2}+7x
límite cuando x tiende a 0 de \|x-2\|+3	\lim\:_{x\to\:0}(\left\|x-2\right\|+3)
(\partial)/(\partial y)(sin(y)cos(y))	\frac{\partial\:}{\partial\:y}(\sin(y)\cos(y))
área y=12-x^2,y=-3x-16	area\:y=12-x^{2},y=-3x-16
(e^{2x}*2)^'	(e^{2x}\cdot\:2)^{\prime\:}
derivative y(θ)=θcos(θ)	derivative\:y(θ)=θ\cos(θ)
derivative 6xsin(x^2)	derivative\:6x\sin(x^{2})
área y=1-x^2,y=x^2-1	area\:y=1-x^{2},y=x^{2}-1
tangent 1/(x+3)	tangent\:\frac{1}{x+3}

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