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Problemas populares

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Problemas populares de Cálculo

xyy^'=x^2+1	xyy^{\prime\:}=x^{2}+1
integral de 4xln(x)	\int\:4x\ln(x)dx
tangent x^2-xy+y^2=3,(1,2)	tangent\:x^{2}-xy+y^{2}=3,(1,2)
derivative (4x^5+5)/(x^3)	derivative\:\frac{4x^{5}+5}{x^{3}}
y^'=xy^2	y^{\prime\:}=xy^{2}
derivada de e^xsin(xcos(x))	\frac{d}{dx}(e^{x}\sin(x)\cos(x))
derivada de 1/x+1/y	\frac{d}{dx}(\frac{1}{x}+\frac{1}{y})
y^{''}+(y^')^2=0	y^{\prime\:\prime\:}+(y^{\prime\:})^{2}=0
área 7cos(7x),7-7cos(7x),[0, pi/7 ]	area\:7\cos(7x),7-7\cos(7x),[0,\frac{π}{7}]
5ysqrt(x^2+1)(dy)/(dx)+4x=0	5y\sqrt{x^{2}+1}\frac{dy}{dx}+4x=0
derivada de 1/((3x+1^2))	\frac{d}{dx}(\frac{1}{(3x+1)^{2}})
derivative y=ln((x^2)/4)	derivative\:y=\ln(\frac{x^{2}}{4})
derivada de (2x^3-2/(3x+4))	\frac{d}{dx}(\frac{2x^{3}-2}{3x+4})
límite cuando x tiende a-8 de (x^2-3)/(8-x)	\lim\:_{x\to\:-8}(\frac{x^{2}-3}{8-x})
f^'(x)=(3x^5-2)^{20}	f^{\prime\:}(x)=(3x^{5}-2)^{20}
integral de 8/(1-cos(2x))	\int\:\frac{8}{1-\cos(2x)}dx
integral de (sin(2x))/4	\int\:\frac{\sin(2x)}{4}dx
integral de 1/(x^{4/3)}	\int\:\frac{1}{x^{\frac{4}{3}}}dx
(\partial)/(\partial y)(x^2-y^3-x^2y+y)	\frac{\partial\:}{\partial\:y}(x^{2}-y^{3}-x^{2}y+y)
integral de 1 a R de (ln(4x))/(x^2)	\int\:_{1}^{R}\frac{\ln(4x)}{x^{2}}dx
integral de e/pi	\int\:\frac{e}{π}dx
(\partial)/(\partial x)(x^2e^{sqrt(4xy)})	\frac{\partial\:}{\partial\:x}(x^{2}e^{\sqrt{4xy}})
derivative (e^x)/(x^n)	derivative\:\frac{e^{x}}{x^{n}}
derivative In(x^2)	derivative\:In(x^{2})
derivada de (90/(6+9e^{-0.025x)})	\frac{d}{dx}(\frac{90}{6+9e^{-0.025x}})
(dy)/(dt)=(1-ty^2)/(2t^2y)	\frac{dy}{dt}=\frac{1-ty^{2}}{2t^{2}y}
integral de 2cos(t)	\int\:2\cos(t)dt
límite cuando x tiende a 2 de (x+1)/(x-2)	\lim\:_{x\to\:2}(\frac{x+1}{x-2})
integral de ((7-x))/(x^2-4x+4)	\int\:\frac{(7-x)}{x^{2}-4x+4}dx
tangent y=3x+6cos(x),(0,6)	tangent\:y=3x+6\cos(x),(0,6)
integral de 1/(2-x^{1/5)}	\int\:\frac{1}{2-x^{\frac{1}{5}}}dx
f(x)=(x+xe^x)/(x^2-5)	f(x)=\frac{x+xe^{x}}{x^{2}-5}
derivada de \sqrt[3]{1+tan(x^2})	\frac{d}{dx}(\sqrt[3]{1+\tan(x^{2})})
derivative x(3-x)^3	derivative\:x(3-x)^{3}
derivative f(x)=x^2cos(1/x)	derivative\:f(x)=x^{2}\cos(\frac{1}{x})
derivative y=(sqrt(x)+1)/(sqrt(x)-1)	derivative\:y=\frac{\sqrt{x}+1}{\sqrt{x}-1}
serie de n=2 a infinity de 1/(nln(n))	\sum\:_{n=2}^{\infty\:}\frac{1}{n\ln(n)}
límite cuando x tiende a 0 de (4cos(x)-4)/x	\lim\:_{x\to\:0}(\frac{4\cos(x)-4}{x})
(\partial)/(\partial x)(6xyz)	\frac{\partial\:}{\partial\:x}(6xyz)
derivada de-,x	\frac{d}{dx}(-,x)
pendiente (-8,-9),(-5,-3)	slope\:(-8,-9),(-5,-3)
integral de ln(x)y	\int\:\ln(x)ydx
integral de xe^{7x^2}	\int\:xe^{7x^{2}}dx
derivada de xsqrt(81-x^2)	\frac{d}{dx}(x\sqrt{81-x^{2}})
derivada de arctan^2((x+y/(1-xy)))	\frac{d}{dx}(\arctan^{2}(\frac{x+y}{1-xy}))
integral de (x^2e^{-x}+sin(2x))	\int\:(x^{2}e^{-x}+\sin(2x))dx
integral de 1 a 4 de (ln(x))/(x^2)	\int\:_{1}^{4}\frac{\ln(x)}{x^{2}}dx
límite cuando x tiende a 0 de cos(3/x)	\lim\:_{x\to\:0}(\cos(\frac{3}{x}))
límite cuando x tiende a 0 de x^{7sin(x)}	\lim\:_{x\to\:0}(x^{7\sin(x)})
integral de (x^2-x+1)/(x^2+x)	\int\:\frac{x^{2}-x+1}{x^{2}+x}dx
inversalaplace (1/s)/(s^2+2s+3)	inverselaplace\:\frac{\frac{1}{s}}{s^{2}+2s+3}
límite cuando x tiende a+(-35) de 34+x	\lim\:_{x\to\:+(-35)}(34+x)
integral de-infinity a 10 de re^{r/5}	\int\:_{-\infty\:}^{10}re^{\frac{r}{5}}dr
límite cuando x tiende a infinity de 2^{+x}	\lim\:_{x\to\:\infty\:}(2^{+x})
integral de xln(sqrt(x))	\int\:x\ln(\sqrt{x})dx
derivada de (2-x^2^{1/2})	\frac{d}{dx}((2-x^{2})^{\frac{1}{2}})
integral de (tan(x))^5	\int\:(\tan(x))^{5}dx
derivada de ln(1+x^3)	\frac{d}{dx}(\ln(1+x^{3}))
tangent y=x^3-2x+1,(0,1)	tangent\:y=x^{3}-2x+1,(0,1)
integral de x/((x^2+1)^{3/2)}	\int\:\frac{x}{(x^{2}+1)^{\frac{3}{2}}}dx
integral de 1 a 2 de (15)/(x^3+4x)	\int\:_{1}^{2}\frac{15}{x^{3}+4x}dx
serie de n=1 a infinity}n^{50 de e^{-n}	\sum\:_{n=1}^{\infty\:}n^{50}e^{-n}
(\partial)/(\partial y)((x+4y+3z)^{3/2})	\frac{\partial\:}{\partial\:y}((x+4y+3z)^{\frac{3}{2}})
límite cuando x tiende a-1 de \|x+1\|	\lim\:_{x\to\:-1}(\left\|x+1\right\|)
integral de (x-10)^2	\int\:(x-10)^{2}dx
límite cuando x tiende a-8 de (2x)/(x+8)	\lim\:_{x\to\:-8}(\frac{2x}{x+8})
y^{''}-6y^'+9y=18x^2+6-12e^{3x}	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=18x^{2}+6-12e^{3x}
derivative y=3x+7	derivative\:y=3x+7
derivada de (x^2-1/(x^4-1))	\frac{d}{dx}(\frac{x^{2}-1}{x^{4}-1})
derivative-0.05(t+1.1)^{2.2}+0.7t+0.9	derivative\:-0.05(t+1.1)^{2.2}+0.7t+0.9
integral de 1/((y-2)(y+2))	\int\:\frac{1}{(y-2)(y+2)}dy
derivada de sqrt(x-\sqrt{x)}	\frac{d}{dx}(\sqrt{x-\sqrt{x}})
integral de e^x(3e^x+1)^{-3/2}	\int\:e^{x}(3e^{x}+1)^{-\frac{3}{2}}dx
integral de zsqrt(z-6)	\int\:z\sqrt{z-6}dz
y^{''}+(2/x)=0	y^{\prime\:\prime\:}+(\frac{2}{x})=0
integral de 0 a 3 de x^2ln(x)	\int\:_{0}^{3}x^{2}\ln(x)dx
derivada de (y^2/(b^2))	\frac{d}{dx}(\frac{y^{2}}{b^{2}})
derivada de 20cos(2x-30sin(2x))	\frac{d}{dx}(20\cos(2x)-30\sin(2x))
integral de 8sin(2x)	\int\:8\sin(2x)dx
(d^2x)/(dt^2)	\frac{d^{2}x}{dt^{2}}
(\partial)/(\partial x)(xe^y-yz)	\frac{\partial\:}{\partial\:x}(xe^{y}-yz)
integral de 0 a pi/2 de (5cos^2(x))	\int\:_{0}^{\frac{π}{2}}(5\cos^{2}(x))dx
(\partial)/(\partial y)(e^{x+y}sin(x-y))	\frac{\partial\:}{\partial\:y}(e^{x+y}\sin(x-y))
y^{''}-4y^'+8y=0,y(0)=9,y(pi/4)=7	y^{\prime\:\prime\:}-4y^{\prime\:}+8y=0,y(0)=9,y(\frac{π}{4})=7
tangent sqrt(x)(4.2)	tangent\:\sqrt{x}(4.2)
derivada de tan(x+c)	\frac{d}{dx}(\tan(x+c))
integral de ((x^3+20x^2+8))/(x+20)	\int\:\frac{(x^{3}+20x^{2}+8)}{x+20}dx
integral de 7e^{x^2}	\int\:7e^{x^{2}}dx
integral de x^1e^x	\int\:x^{1}e^{x}dx
integral de (6x+4)	\int\:(6x+4)dx
6y^{''}+3y^'=0	6y^{\prime\:\prime\:}+3y^{\prime\:}=0
f(x)= 2/(3x^4)	f(x)=\frac{2}{3x^{4}}
integral de 1/(sin(x)*cos(x))	\int\:\frac{1}{\sin(x)\cdot\:\cos(x)}dx
integral de 1 a infinity de 9e^{-3x}	\int\:_{1}^{\infty\:}9e^{-3x}dx
derivative y=5(x^2+2x)^3	derivative\:y=5(x^{2}+2x)^{3}
derivada de-ln(2*2^{-x})	\frac{d}{dx}(-\ln(2)\cdot\:2^{-x})
integral de 0 a 3 de xsqrt(x+1)	\int\:_{0}^{3}x\sqrt{x+1}dx
tangent f(x)=9x-8sqrt(x),\at x=1	tangent\:f(x)=9x-8\sqrt{x},\at\:x=1
d/(dt)(e^{4(e^t-1)})	\frac{d}{dt}(e^{4(e^{t}-1)})
derivada de ((4x+asqrt(1+x))/(x^2-1))	\frac{d}{dx}(\frac{(4x+a\sqrt{1+x})}{x^{2}-1})

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