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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial y)(xln(x+2y+3z))	\frac{\partial\:}{\partial\:y}(x\ln(x+2y+3z))
(\partial}{\partial x}(\frac{x^3)/3)	\frac{\partial\:}{\partial\:x}(\frac{x^{3}}{3})
límite cuando x tiende a 0 de 4x^2	\lim\:_{x\to\:0}(4x^{2})
integral de x/((x^2+1)^{25/2)}	\int\:\frac{x}{(x^{2}+1)^{\frac{25}{2}}}dx
derivada de (2x^{-1}^2)	\frac{d}{dx}((2x^{-1})^{2})
derivada de-3x^2+2x+2	\frac{d}{dx}(-3x^{2}+2x+2)
laplacetransformación 4e^{(2t)/3}	laplacetransform\:4e^{\frac{2t}{3}}
límite cuando x tiende a 0 de (6sin(3x))/x	\lim\:_{x\to\:0}(\frac{6\sin(3x)}{x})
derivada de 3^{2x^2}sqrt(x)	\frac{d}{dx}(3^{2x^{2}}\sqrt{x})
integral de t a 2 de (1/(sqrt(x-1)))	\int\:_{t}^{2}(\frac{1}{\sqrt{x-1}})dx
integral de 3^2	\int\:3^{2}dx
derivative f(x)=e^{z/((z-2))}	derivative\:f(x)=e^{\frac{z}{(z-2)}}
integral de 1/((3x+1)^4)	\int\:\frac{1}{(3x+1)^{4}}dx
(\partial)/(\partial x)(4sin(x^3y^2))	\frac{\partial\:}{\partial\:x}(4\sin(x^{3}y^{2}))
derivative ((3u^2))/((u^2+u)^3)	derivative\:\frac{(3u^{2})}{(u^{2}+u)^{3}}
integral de 1 a 2 de 3/(x^2)-1	\int\:_{1}^{2}\frac{3}{x^{2}}-1dx
límite cuando x tiende a 0 de (sqrt(x))/x	\lim\:_{x\to\:0}(\frac{\sqrt{x}}{x})
pendiente (3,1),(5,-4)	slope\:(3,1),(5,-4)
integral de 1/(sqrt(9x^2-36x+37))	\int\:\frac{1}{\sqrt{9x^{2}-36x+37}}dx
integral de (x^7e^x-4x^6)/(x^7)	\int\:\frac{x^{7}e^{x}-4x^{6}}{x^{7}}dx
integral de (ln(x))/(x^7)	\int\:\frac{\ln(x)}{x^{7}}dx
y^{''}-y^'-2y=-8t+6t^2	y^{\prime\:\prime\:}-y^{\prime\:}-2y=-8t+6t^{2}
límite cuando x tiende a 2-de (3x+5)/(x-2)	\lim\:_{x\to\:2-}(\frac{3x+5}{x-2})
integral de (2t)/(1+t^2)	\int\:\frac{2t}{1+t^{2}}dt
área y=-2x^2+20,y=3x-15	area\:y=-2x^{2}+20,y=3x-15
derivative f(x)=x^7-1(x)	derivative\:f(x)=x^{7}-1(x)
integral de rsqrt(2-r^2)	\int\:r\sqrt{2-r^{2}}dr
integral de 1/((4x+1)sqrt(16x^2+4))	\int\:\frac{1}{(4x+1)\sqrt{16x^{2}+4}}dx
tangent f(x)=-1-8x^2,\at x=-2	tangent\:f(x)=-1-8x^{2},\at\:x=-2
integral de 0 a 1 de (x)-(x^2)	\int\:_{0}^{1}(x)-(x^{2})dx
integral de (x-7)^2	\int\:(x-7)^{2}dx
serie de n=1 a infinity de 1/(2^{n-1)}	\sum\:_{n=1}^{\infty\:}\frac{1}{2^{n-1}}
límite cuando x tiende a infinity de 0^0	\lim\:_{x\to\:\infty\:}(0^{0})
límite cuando x tiende a 3 de 1/((x-3))	\lim\:_{x\to\:3}(\frac{1}{(x-3)})
integral de 0 a 1 de 2x^2(x^3-1)^3	\int\:_{0}^{1}2x^{2}(x^{3}-1)^{3}dx
integral de x^2-16	\int\:x^{2}-16dx
derivada de 2ln(2x)	\frac{d}{dx}(2\ln(2x))
(\partial)/(\partial r)(r^{2+s^2})	\frac{\partial\:}{\partial\:r}(r^{2+s^{2}})
simplificar t/(sqrt(t^2+1))	simplify\:\frac{t}{\sqrt{t^{2}+1}}
y^{''}+15y^'+56y=0	y^{\prime\:\prime\:}+15y^{\prime\:}+56y=0
(dy)/(dx)+9y=5	\frac{dy}{dx}+9y=5
t^2y^'+y^2=ty	t^{2}y^{\prime\:}+y^{2}=ty
derivative (3x^2+x)(5x^3+1)	derivative\:(3x^{2}+x)(5x^{3}+1)
integral de (-1)/(e^x)	\int\:\frac{-1}{e^{x}}dx
integral de x(x^4+1/4 x)	\int\:x(x^{4}+\frac{1}{4}x)dx
integral de y^3e^{y^4}	\int\:y^{3}e^{y^{4}}dy
derivada de cos((pix^9))	\frac{d}{dx}(\cos((πx)^{9}))
(\partial)/(\partial x)(x^{0.1})	\frac{\partial\:}{\partial\:x}(x^{0.1})
integral de (1-x)^2sqrt(x)	\int\:(1-x)^{2}\sqrt{x}dx
y^{''}-10y^'+25y=0,y(0)=7,y^'(0)=0	y^{\prime\:\prime\:}-10y^{\prime\:}+25y=0,y(0)=7,y^{\prime\:}(0)=0
integral de (x+3)/(\sqrt[3]{x^2+6x)}	\int\:\frac{x+3}{\sqrt[3]{x^{2}+6x}}dx
derivative-1.5sin(1.5x)	derivative\:-1.5\sin(1.5x)
integral de (9x-1)e^{-x}	\int\:(9x-1)e^{-x}dx
integral de (x+6)^2	\int\:(x+6)^{2}dx
integral de sin(x)sin(2x)	\int\:\sin(x)\cdot\:\sin(2\cdot\:x)dx
derivative (x-sqrt(x))/(x^{1/4)}	derivative\:\frac{x-\sqrt{x}}{x^{\frac{1}{4}}}
derivative 5/2 x^{5/2}	derivative\:\frac{5}{2}x^{\frac{5}{2}}
tangent f(x)=2x^4-10x^2,\at x=-2	tangent\:f(x)=2x^{4}-10x^{2},\at\:x=-2
derivada de ln(x-pi/2)	\frac{d}{dx}(\ln(x-\frac{π}{2}))
límite cuando x tiende a infinity de 42+x	\lim\:_{x\to\:\infty\:}(42+x)
y^'+y=x+sqrt(5)	y^{\prime\:}+y=x+\sqrt{5}
integral de 1/(64+x^2)	\int\:\frac{1}{64+x^{2}}dx
integral de ((x^3))/(sqrt(1+x^2))	\int\:\frac{(x^{3})}{\sqrt{1+x^{2}}}dx
derivative 2x^2+x-2	derivative\:2x^{2}+x-2
integral de 0 a infinity de 5/(x^3)	\int\:_{0}^{\infty\:}\frac{5}{x^{3}}dx
tangent 0=x^2-xy+2y-2,\at x=-2	tangent\:0=x^{2}-xy+2y-2,\at\:x=-2
(\partial)/(\partial x)(x^3*y^2+4x^2-3xy)	\frac{\partial\:}{\partial\:x}(x^{3}\cdot\:y^{2}+4x^{2}-3xy)
límite cuando x tiende a infinity de x-{x}	\lim\:_{x\to\:\infty\:}(x-\left\{x\right\})
integral de 2yz	\int\:2yzdy
límite cuando x tiende a 0 de ((2+x)^2-8)/x	\lim\:_{x\to\:0}(\frac{(2+x)^{2}-8}{x})
tangent y=x+4/x ,(-4,-5)	tangent\:y=x+\frac{4}{x},(-4,-5)
(\partial)/(\partial x)(4x^3y^3)	\frac{\partial\:}{\partial\:x}(4x^{3}y^{3})
integral de (1+1/x)^3*(1/(x^2))	\int\:(1+\frac{1}{x})^{3}\cdot\:(\frac{1}{x^{2}})dx
derivada de x^{5^x}	\frac{d}{dx}(x^{5^{x}})
integral de (9+u)/u	\int\:\frac{9+u}{u}du
integral de u/(u^2-1)	\int\:\frac{u}{u^{2}-1}du
(\partial)/(\partial x)(sin(4x-6y))	\frac{\partial\:}{\partial\:x}(\sin(4x-6y))
f(x)=6sin(2x)-3cos(3x)	f(x)=6\sin(2x)-3\cos(3x)
y^{''}-y=te^t	y^{\prime\:\prime\:}-y=te^{t}
derivada de sqrt(2x)+\sqrt[3]{3x}	\frac{d}{dx}(\sqrt{2x}+\sqrt[3]{3x})
área \sqrt[3]{x}, 1/x ,1,8	area\:\sqrt[3]{x},\frac{1}{x},1,8
(\partial)/(\partial x)(sqrt(x^2+1))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+1})
tangent f(x)=2xe^xcos(x),\at x=0	tangent\:f(x)=2xe^{x}\cos(x),\at\:x=0
integral de 0 a 2 de sin(x)+e^x	\int\:_{0}^{2}\sin(x)+e^{x}dx
derivada de (1/x ^{1/2})	\frac{d}{dx}((\frac{1}{x})^{\frac{1}{2}})
laplacetransformación s^2-4s+3	laplacetransform\:s^{2}-4s+3
integral de (x^4-1)x^2	\int\:(x^{4}-1)x^{2}dx
(dy)/(dx)=y(2-3y)	\frac{dy}{dx}=y(2-3y)
f(x)=ln(x^2+2)	f(x)=\ln(x^{2}+2)
integral de 2sin(x)-3cos(x)	\int\:2\sin(x)-3\cos(x)dx
tangent f(x)=(x^2)/(x+2),\at x=3	tangent\:f(x)=\frac{x^{2}}{x+2},\at\:x=3
integral de (6x^6-2)^2(36x)	\int\:(6x^{6}-2)^{2}(36x)dx
integral de x^3sqrt(x^2+6)	\int\:x^{3}\sqrt{x^{2}+6}dx
(dy)/(dx)=(2x-1)/(y^2)	\frac{dy}{dx}=\frac{2x-1}{y^{2}}
(\partial)/(\partial x)(xy(1-7x-6y))	\frac{\partial\:}{\partial\:x}(xy(1-7x-6y))
derivative-((x^2))/(y^2)	derivative\:-\frac{(x^{2})}{y^{2}}
integral de ((1+x)^2)/(x^2+1)	\int\:\frac{(1+x)^{2}}{x^{2}+1}dx
derivative ((8u^2))/((u^2+u)^3)	derivative\:\frac{(8u^{2})}{(u^{2}+u)^{3}}
tangent f(x)=x^2+x,\at x=-1	tangent\:f(x)=x^{2}+x,\at\:x=-1
derivada de (2901/(1+4.76e^{-0.3x)})	\frac{d}{dx}(\frac{2901}{1+4.76e^{-0.3x}})

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