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Problemas populares

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Problemas populares de Cálculo

derivada de-cos(x-sin(x))	\frac{d}{dx}(-\cos(x)-\sin(x))
1/y y^'=-1/x	\frac{1}{y}y^{\prime\:}=-\frac{1}{x}
y^{''}+3y^'+2y=sin^2(t)	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=\sin^{2}(t)
y^{''}+14y^'+50y=0	y^{\prime\:\prime\:}+14y^{\prime\:}+50y=0
integral de (x/((x^2+1)^2))	\int\:(\frac{x}{(x^{2}+1)^{2}})dx
xy^'+y=3xy^2,y(1)=-3	xy^{\prime\:}+y=3xy^{2},y(1)=-3
derivative sqrt(7x)	derivative\:\sqrt{7x}
(\partial)/(\partial y)(-4x^3y)	\frac{\partial\:}{\partial\:y}(-4x^{3}y)
derivada de 3dx	\frac{d}{dx}(3dx)
(\partial)/(\partial z)(ln((xy)/(y^2+z^2)))	\frac{\partial\:}{\partial\:z}(\ln(\frac{xy}{y^{2}+z^{2}}))
área y^2=x,y=x-2	area\:y^{2}=x,y=x-2
derivada de x+y+e^{xy}	\frac{d}{dx}(x+y+e^{xy})
y^'-y=e^{3t}	y^{\prime\:}-y=e^{3t}
(\partial)/(\partial z)((x+y)/(y+z))	\frac{\partial\:}{\partial\:z}(\frac{x+y}{y+z})
y^'=(x-4)e^{-2y}	y^{\prime\:}=(x-4)e^{-2y}
derivada de (-2x^2+8/(sqrt(8-x^2)))	\frac{d}{dx}(\frac{-2x^{2}+8}{\sqrt{8-x^{2}}})
integral de 0 a pi/6 de sec(x)	\int\:_{0}^{\frac{π}{6}}\sec(x)dx
límite cuando x tiende a-1 de 1/(-x-1)	\lim\:_{x\to\:-1}(\frac{1}{-x-1})
integral de (2x^2-4x)^9(x-1)	\int\:(2x^{2}-4x)^{9}(x-1)dx
integral de 8x^3+30x-1	\int\:8x^{3}+30x-1dx
derivada de (x^3-y^3/(x^2+y^2))	\frac{d}{dx}(\frac{x^{3}-y^{3}}{x^{2}+y^{2}})
(\partial)/(\partial x)(cos^4(x^8y^7))	\frac{\partial\:}{\partial\:x}(\cos^{4}(x^{8}y^{7}))
integral de e^{-cos(x)}sin(x)	\int\:e^{-\cos(x)}\sin(x)dx
(\partial)/(\partial x)(1/(4x))	\frac{\partial\:}{\partial\:x}(\frac{1}{4x})
(\partial)/(\partial x)(3xe^{7xy})	\frac{\partial\:}{\partial\:x}(3xe^{7xy})
integral de 0 a 7 de (4t)/((t-8)^2)	\int\:_{0}^{7}\frac{4t}{(t-8)^{2}}dt
serie de n=0 a infinity de 1/(n^3)	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{3}}
derivada de 4/(x-1)	\frac{d}{dx}(\frac{4}{x-1})
integral de (x-1)^2sqrt(x)	\int\:(x-1)^{2}\sqrt{x}dx
derivative (64)/((1+4x)^3)	derivative\:\frac{64}{(1+4x)^{3}}
(x+1)(dy)/(dx)-xy=x+x^2	(x+1)\frac{dy}{dx}-xy=x+x^{2}
límite cuando x tiende a 9 de 8x+\|x-9\|	\lim\:_{x\to\:9}(8x+\left\|x-9\right\|)
(\partial)/(\partial y)(2xy^3-3)	\frac{\partial\:}{\partial\:y}(2xy^{3}-3)
derivative 4x^{5/4}+8x^{3/2}+3x	derivative\:4x^{\frac{5}{4}}+8x^{\frac{3}{2}}+3x
y^'=((y-y^2))/x	y^{\prime\:}=\frac{(y-y^{2})}{x}
taylor sqrt((1+x)/(1-x))-1	taylor\:\sqrt{\frac{1+x}{1-x}}-1
derivative f(x)=sec(x^2)	derivative\:f(x)=\sec(x^{2})
derivada de sqrt(9+3x+sin(3x))	\frac{d}{dx}(\sqrt{9+3x+\sin(3x)})
tangent f(x)=2x^{-1},\at x=5	tangent\:f(x)=2x^{-1},\at\:x=5
integral de 1/2 a 3/2 de (-2x+4)	\int\:_{\frac{1}{2}}^{\frac{3}{2}}(-2x+4)dx
integral de (2x-5)e^{x^2-5x}	\int\:(2x-5)e^{x^{2}-5x}dx
(dy)/(dx)+2xy=0	\frac{dy}{dx}+2xy=0
integral de-3 a 0 de (2+sqrt(9-x^2))	\int\:_{-3}^{0}(2+\sqrt{9-x^{2}})dx
serie de n=0 a infinity de ne^{-2n}	\sum\:_{n=0}^{\infty\:}ne^{-2n}
límite cuando x tiende a infinity de-(10)/x	\lim\:_{x\to\:\infty\:}(-\frac{10}{x})
y^{''}+16y=-32sin(4x)	y^{\prime\:\prime\:}+16y=-32\sin(4x)
tangent f(x)=9x-x^2,(1,8)	tangent\:f(x)=9x-x^{2},(1,8)
inversalaplace (s+3)/(s(s+2))	inverselaplace\:\frac{s+3}{s(s+2)}
límite cuando x tiende a 2 de (2x-4)/(3-2x)	\lim\:_{x\to\:2}(\frac{2x-4}{3-2x})
derivada de ln\|tan(x/2 \|+C)	\frac{d}{dx}(\ln\left\|\tan(\frac{x}{2})\right\|+C)
(d^2)/(dx^2)(3sec(x))	\frac{d^{2}}{dx^{2}}(3\sec(x))
integral de 3cos(sqrt(x))	\int\:3\cos(\sqrt{x})dx
derivada de x^2+k	\frac{d}{dx}(x^{2}+k)
integral de (10x-9)	\int\:(10x-9)dx
3y^'+12y=24	3y^{\prime\:}+12y=24
(\partial)/(\partial y)(6x+6y)	\frac{\partial\:}{\partial\:y}(6x+6y)
integral de (x^3-7x)^4(3x^2-7)	\int\:(x^{3}-7x)^{4}(3x^{2}-7)dx
taylor cos(3x)2.5	taylor\:\cos(3x)2.5
(\partial)/(\partial x)(6x+y^2)	\frac{\partial\:}{\partial\:x}(6x+y^{2})
serie de n=1 a infinity de (6n!)/(n^n)	\sum\:_{n=1}^{\infty\:}\frac{6n!}{n^{n}}
derivada de (x^2-5/(1-3x^2))	\frac{d}{dx}(\frac{x^{2}-5}{1-3x^{2}})
derivative 6(sin(x^2)+2x^2cos(x^2))	derivative\:6(\sin(x^{2})+2x^{2}\cos(x^{2}))
derivada de (x^2tan(x^3-x^2)/(sec(x)))	\frac{d}{dx}(\frac{x^{2}\tan(x^{3}-x^{2})}{\sec(x)})
y^{''}+3y^'=10sin(t)	y^{\prime\:\prime\:}+3y^{\prime\:}=10\sin(t)
tangent y=5x-4sqrt(x),(1,1)	tangent\:y=5x-4\sqrt{x},(1,1)
integral de 0 a 1 de (\|3x-1\|-2\|x\|)	\int\:_{0}^{1}(\left\|3x-1\right\|-2\left\|x\right\|)dx
derivative-5/4 t^4+120t^2	derivative\:-\frac{5}{4}t^{4}+120t^{2}
derivative (x^2+1)*e^{x-1}	derivative\:(x^{2}+1)\cdot\:e^{x-1}
integral de xe^{-xy}	\int\:xe^{-xy}dy
(\partial)/(\partial x)(7xe^x)	\frac{\partial\:}{\partial\:x}(7xe^{x})
inversalaplace 1/((s^2(1+s)))	inverselaplace\:\frac{1}{(s^{2}(1+s))}
derivada de (x^2-2x-10)	\frac{d}{dx}((x^{2})-2x-10)
integral de 0 a pi de usin^2(u)	\int\:_{0}^{π}u\sin^{2}(u)du
(1+x^4)dy+(1+4y^2)dx=0	(1+x^{4})dy+(1+4y^{2})dx=0
y^'-5y^{(2)}e^{(-3x)}=0,y(0)=9	y^{\prime\:}-5y^{(2)}e^{(-3x)}=0,y(0)=9
integral de (x^3)/(x^2+2x+1)	\int\:\frac{x^{3}}{x^{2}+2x+1}dx
tangent y=((x^2))/(8+sqrt(x))	tangent\:y=\frac{(x^{2})}{8+\sqrt{x}}
integral de ((1-x^3))/(x\sqrt[3]{x)}	\int\:\frac{(1-x^{3})}{x\sqrt[3]{x}}dx
integral de ae^{-mx}	\int\:ae^{-mx}dx
(dy)/(dx)+(3/x)y=-2x+7	\frac{dy}{dx}+(\frac{3}{x})y=-2x+7
límite cuando x tiende a-1 de 1+2x	\lim\:_{x\to\:-1}(1+2x)
100y^{''}+60y^'-27y=0	100y^{\prime\:\prime\:}+60y^{\prime\:}-27y=0
derivada de (3\sqrt[3]{2}x^{5/3}/5)	\frac{d}{dx}(\frac{3\sqrt[3]{2}x^{\frac{5}{3}}}{5})
área 7x, 7/4 x,78-x^2,y=0	area\:7x,\frac{7}{4}x,78-x^{2},y=0
y^{''}+2y^'+26y=e^{-x}cos(5*x)	y^{\prime\:\prime\:}+2\cdot\:y^{\prime\:}+26\cdot\:y=e^{-x}\cos(5\cdot\:x)
integral de (8000-2000x)/((x^2-8x+17)^2)	\int\:\frac{8000-2000x}{(x^{2}-8x+17)^{2}}dx
derivada de x^5*tan(x)	\frac{d}{dx}(x^{5}\cdot\:\tan(x))
serie de n=1 a infinity de 1	\sum\:_{n=1}^{\infty\:}1
integral de (x^2)/(sqrt(36-25x^2))	\int\:\frac{x^{2}}{\sqrt{36-25x^{2}}}dx
integral de-2 a 3 de 9/(x^4)	\int\:_{-2}^{3}\frac{9}{x^{4}}dx
derivative 4cos(sin(2x))	derivative\:4\cos(\sin(2x))
derivada de x^3+xy^2	\frac{d}{dx}(x^{3}+xy^{2})
derivative e^{-x^5}	derivative\:e^{-x^{5}}
integral de (u+3)(8u+5)	\int\:(u+3)(8u+5)du
integral de (e^{4x})/((e^{2x)-1)^3}	\int\:\frac{e^{4x}}{(e^{2x}-1)^{3}}dx
derivada de ln(3/x)	\frac{d}{dx}(\ln(\frac{3}{x}))
límite cuando x tiende a 2+de 1/((x-2)^3)	\lim\:_{x\to\:2+}(\frac{1}{(x-2)^{3}})
límite cuando x tiende a 0 de x/(x^2-4x)	\lim\:_{x\to\:0}(\frac{x}{x^{2}-4x})
integral de 1/((ax+b)^2)	\int\:\frac{1}{(ax+b)^{2}}dx
límite cuando x tiende a 3 de 1/(\|x-3\|)	\lim\:_{x\to\:3}(\frac{1}{\left\|x-3\right\|})

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