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Problemas populares

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Problemas populares de Cálculo

derivative f(x)=sqrt(x)(3x-1)	derivative\:f(x)=\sqrt{x}(3x-1)
derivada de (3x+4^6)	\frac{d}{dx}((3x+4)^{6})
derivada de-e^{7x}	\frac{d}{dx}(-e^{7x})
derivada de 5cos(pix)	\frac{d}{dx}(5\cos(πx))
integral de 2xe^{5x}	\int\:2xe^{5x}dx
serie de n=1 a infinity de 1/(4+e^{-n)}	\sum\:_{n=1}^{\infty\:}\frac{1}{4+e^{-n}}
derivada de 1/(e^{3x})	\frac{d}{dx}(\frac{1}{e^{3x}})
integral de u/(u^2+4)	\int\:\frac{u}{u^{2}+4}du
y=6x	y=6x
derivative y=cos(tan(x))	derivative\:y=\cos(\tan(x))
integral de 0 a pi de 3sin^3(x)	\int\:_{0}^{π}3\sin^{3}(x)dx
derivada de (ln(x)^2cos(x))	\frac{d}{dx}((\ln(x))^{2}\cos(x))
d/(dt)(e^{t^2})	\frac{d}{dt}(e^{t^{2}})
integral de ((7x^2+2x-7))/(x^3-x)	\int\:\frac{(7x^{2}+2x-7)}{x^{3}-x}dx
(\partial)/(\partial x)(3sin(xy))	\frac{\partial\:}{\partial\:x}(3\sin(xy))
(dy)/(dx)-2y=4	\frac{dy}{dx}-2y=4
derivative (7x^2-14x+14)e^x	derivative\:(7x^{2}-14x+14)e^{x}
(\partial)/(\partial y)(y^2sin(x))	\frac{\partial\:}{\partial\:y}(y^{2}\sin(x))
derivada de ln(sqrt((9-x^2/(9+x^2))))	\frac{d}{dx}(\ln(\sqrt{\frac{9-x^{2}}{9+x^{2}}}))
y^'=xy-3y	y^{\prime\:}=xy-3y
límite cuando x tiende a 8 de x^{2/3}	\lim\:_{x\to\:8}(x^{\frac{2}{3}})
(d^2)/(dy^2)(ln(sqrt(x^2+y^2)))	\frac{d^{2}}{dy^{2}}(\ln(\sqrt{x^{2}+y^{2}}))
integral de 1/(cos^2(2x))	\int\:\frac{1}{\cos^{2}(2x)}dx
y^{''}+y^'-2y=e^{-x}	y^{\prime\:\prime\:}+y^{\prime\:}-2y=e^{-x}
(\partial)/(\partial x)(2^{1/x})	\frac{\partial\:}{\partial\:x}(2^{\frac{1}{x}})
pendiente (3,5),(8,7)	slope\:(3,5),(8,7)
integral de (3x^2-6x^2+sqrt(x))/(x^3)	\int\:\frac{3x^{2}-6x^{2}+\sqrt{x}}{x^{3}}dx
derivative g(w)=9\sqrt[3]{w}	derivative\:g(w)=9\sqrt[3]{w}
tangent y=sqrt(5x+20),\at x=1	tangent\:y=\sqrt{5x+20},\at\:x=1
derivative f(x)=16sqrt(x+3)	derivative\:f(x)=16\sqrt{x+3}
2x^2yy^'+1+2xy^2=0	2x^{2}yy^{\prime\:}+1+2xy^{2}=0
integral de-2 a 1 de x((4-x^2)-(x+2))	\int\:_{-2}^{1}x((4-x^{2})-(x+2))dx
dx=(e^{t^2}+2xt)dt	dx=(e^{t^{2}}+2xt)dt
integral de 13^x	\int\:13^{x}dx
derivative-2t^3+96t	derivative\:-2t^{3}+96t
derivada de 9cos(x-7x^2)	\frac{d}{dx}(9\cos(x)-7x^{2})
integral de (7x^2)/((x^2+1)(x+1))	\int\:\frac{7x^{2}}{(x^{2}+1)(x+1)}dx
f^'(x)=\sqrt[6]{9}(9^3-5sqrt(9)+7)	f^{\prime\:}(x)=\sqrt[6]{9}(9^{3}-5\sqrt{9}+7)
límite cuando x tiende a 0 de (1-e^{-x})/(sin(x))	\lim\:_{x\to\:0}(\frac{1-e^{-x}}{\sin(x)})
x(x^2+1)dy=sqrt(1-y^2)dx	x(x^{2}+1)dy=\sqrt{1-y^{2}}dx
derivada de 500(1+(4x/(50+x^2)))	\frac{d}{dx}(500(1+\frac{4x}{50+x^{2}}))
integral de z'	\int\:z\prime\:dz
integral de (x^2)/(sqrt(x^2-49))	\int\:\frac{x^{2}}{\sqrt{x^{2}-49}}dx
(2x+3)+(2y-2)(dy)/(dx)=0	(2x+3)+(2y-2)\frac{dy}{dx}=0
3x^2+2xy+3y^2+(x^2+6xy)y^'=0	3x^{2}+2xy+3y^{2}+(x^{2}+6xy)y^{\prime\:}=0
derivada de 4x^4e^{-x}	\frac{d}{dx}(4x^{4}e^{-x})
integral de (y-1)/(y+1)	\int\:\frac{y-1}{y+1}dy
derivada de 3xln(4x-3x)	\frac{d}{dx}(3x\ln(4x)-3x)
(\partial)/(\partial x)(6zexyz)	\frac{\partial\:}{\partial\:x}(6zexyz)
ty^'+3y=t^2	ty^{\prime\:}+3y=t^{2}
integral de 1/(sqrt(y-1)+\sqrt[3]{y-1)}	\int\:\frac{1}{\sqrt{y-1}+\sqrt[3]{y-1}}dy
integral de 18θsec^2(θ)	\int\:18θ\sec^{2}(θ)dθ
integral de ln^3(x)	\int\:\ln^{3}(x)dx
integral de (sin(t))/(cos^3(t))	\int\:\frac{\sin(t)}{\cos^{3}(t)}dt
límite cuando x tiende a-3 de 1	\lim\:_{x\to\:-3}(1)
derivada de x^3*cos(x)	\frac{d}{dx}(x^{3}\cdot\:\cos(x))
derivada de 3x^{2/3}-6x^{1/3}+x^{-1/3}	\frac{d}{dx}(3x^{\frac{2}{3}}-6x^{\frac{1}{3}}+x^{-\frac{1}{3}})
derivada de 1/2 xsin(x)	\frac{d}{dx}(\frac{1}{2}x\sin(x))
integral de 9tsec^2(2t)	\int\:9t\sec^{2}(2t)dt
integral de 7sin^2(x)cos^3(x)	\int\:7\sin^{2}(x)\cos^{3}(x)dx
serie de n=0 a infinity de (8^n)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{8^{n}}{n!}
laplacetransformación e^{2t}sin(t)	laplacetransform\:e^{2t}\sin(t)
implicit (dy)/(dx),y= 3/x	implicit\:\frac{dy}{dx},y=\frac{3}{x}
x-ycos(y/x)dx+xcos(y/x)dy=0	x-y\cos(\frac{y}{x})dx+x\cos(\frac{y}{x})dy=0
derivada de (x^2-4/(x-3))	\frac{d}{dx}(\frac{x^{2}-4}{x-3})
tangent 5/(x^2),\at x=1	tangent\:\frac{5}{x^{2}},\at\:x=1
laplacetransformación (t^4)/(24)	laplacetransform\:\frac{t^{4}}{24}
integral de 1/(6xlog_{2)(x)}	\int\:\frac{1}{6x\log_{2}(x)}dx
integral de 4xcos(2-3x)	\int\:4x\cos(2-3x)dx
integral de (8x-5)	\int\:(8x-5)dx
(cos(2t))^'	(\cos(2t))^{\prime\:}
integral de (y^{5/2}-5y^{4/3}-2y^{1/4}-sqrt(y))	\int\:(y^{\frac{5}{2}}-5y^{\frac{4}{3}}-2y^{\frac{1}{4}}-\sqrt{y})dy
y^'=y(y+1)	y^{\prime\:}=y(y+1)
inversalaplace 2/(s^2+9)	inverselaplace\:\frac{2}{s^{2}+9}
integral de ln(at+sqrt(1+(at)^2))	\int\:\ln(at+\sqrt{1+(at)^{2}})dt
integral de (x^3)/((4+x^2)^2)	\int\:\frac{x^{3}}{(4+x^{2})^{2}}dx
integral de 1/(x^2-9x+18)	\int\:\frac{1}{x^{2}-9x+18}dx
integral de (sqrt(25-x^2))/(x^2)	\int\:\frac{\sqrt{25-x^{2}}}{x^{2}}dx
derivative y=(x^{10}-5x^6-12x)/(x^6)	derivative\:y=\frac{x^{10}-5x^{6}-12x}{x^{6}}
(dy)/(dx)-9/x y=(y^3)/(x^{13)},y(1)=1	\frac{dy}{dx}-\frac{9}{x}y=\frac{y^{3}}{x^{13}},y(1)=1
(\partial)/(\partial x)(sqrt(r^2+s^2))	\frac{\partial\:}{\partial\:x}(\sqrt{r^{2}+s^{2}})
(\partial)/(\partial x)(e^{3x}dy)	\frac{\partial\:}{\partial\:x}(e^{3x}dy)
(\partial)/(\partial x)(sqrt(x^2+6xy+y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+6xy+y^{2}})
(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=9	(x^{2}+1)\frac{dy}{dx}+3x(y-1)=0,y(0)=9
(\partial)/(\partial y)(2x^2+4y^2+1/2)	\frac{\partial\:}{\partial\:y}(2x^{2}+4y^{2}+\frac{1}{2})
y^'=1+y	y^{\prime\:}=1+y
integral de 0 a 1 de 1/(x-1)	\int\:_{0}^{1}\frac{1}{x-1}dx
y^'=((xy+3x-y-3))/((xy-2x+4y-8))	y^{\prime\:}=\frac{(xy+3x-y-3)}{(xy-2x+4y-8)}
inversalaplace 4/((3s-1)^5)	inverselaplace\:\frac{4}{(3s-1)^{5}}
integral de 1/(5+4sec(x))	\int\:\frac{1}{5+4\sec(x)}dx
y^'+y/x =2y^2	y^{\prime\:}+\frac{y}{x}=2y^{2}
derivada de (4x+2/((3-2x)^3))	\frac{d}{dx}(\frac{4x+2}{(3-2x)^{3}})
(\partial)/(\partial x)(xe^{sqrt(14xy)})	\frac{\partial\:}{\partial\:x}(xe^{\sqrt{14xy}})
y^'=3-(3x)/(10000)	y^{\prime\:}=3-\frac{3x}{10000}
integral de t^2e^{2t}	\int\:t^{2}e^{2t}dt
integral de (2x+4)e^{2x+4}	\int\:(2x+4)e^{2x+4}dx
derivada de [x+(x+sin^2(x)^6]^3)	\frac{d}{dx}([x+(x+\sin^{2}(x))^{6}]^{3})
integral de (2x-1)^4	\int\:(2x-1)^{4}dx
integral de 1/(4x^2-25)	\int\:\frac{1}{4x^{2}-25}dx
(dy)/(dx)=(9x+4y)/(9x+4y+4)	\frac{dy}{dx}=\frac{9x+4y}{9x+4y+4}

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