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Problemas populares

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Problemas populares de Cálculo

derivative (4\sqrt[4]{q})/(1-q)	derivative\:\frac{4\sqrt[4]{q}}{1-q}
(dy)/(dx)+y=2x	\frac{dy}{dx}+y=2x
(\partial)/(\partial y)((4y)/(x^5))	\frac{\partial\:}{\partial\:y}(\frac{4y}{x^{5}})
tangent f(x)=3x^4-x^3-5x^2+7,\at x=3	tangent\:f(x)=3x^{4}-x^{3}-5x^{2}+7,\at\:x=3
integral de-1/(x+2)	\int\:-\frac{1}{x+2}dx
(dy)/(dx)=(((y+3))/((2x+5)))^2	\frac{dy}{dx}=(\frac{(y+3)}{(2x+5)})^{2}
(dy)/(dx)=-y^2+y	\frac{dy}{dx}=-y^{2}+y
derivada de sqrt(x^n)	\frac{d}{dx}(\sqrt{x^{n}})
maclaurin 10x^2sin(8x)	maclaurin\:10x^{2}\sin(8x)
derivada de sqrt(4x+10)	\frac{d}{dx}(\sqrt{4x+10})
integral de 2 a 6 de (x/2+1)	\int\:_{2}^{6}(\frac{x}{2}+1)dx
(dy)/(dx)=2xy	\frac{dy}{dx}=2xy
y^{''}+6y^'+90y=0	y^{\prime\:\prime\:}+6y^{\prime\:}+90y=0
tangent f(x)=2x^2,\at x=-3	tangent\:f(x)=2x^{2},\at\:x=-3
derivative y=\sqrt[4]{sin(3x-2)}	derivative\:y=\sqrt[4]{\sin(3x-2)}
integral de csc^2(6x+3)	\int\:\csc^{2}(6x+3)dx
derivada de (x/2 ^4)	\frac{d}{dx}((\frac{x}{2})^{4})
derivada de aln(2x+b)	\frac{d}{dx}(a\ln(2x+b))
tangent f(x)=(ln(x))^3	tangent\:f(x)=(\ln(x))^{3}
integral de (\sqrt[3]{x})^2	\int\:(\sqrt[3]{x})^{2}dx
(dy)/(dx)-1/x y=e^{(y/x)}	\frac{dy}{dx}-\frac{1}{x}y=e^{(\frac{y}{x})}
límite cuando x tiende a pi de (x-pi)tan(x/2)	\lim\:_{x\to\:π}((x-π)\tan(\frac{x}{2}))
(\partial)/(\partial x)(xy+yz+zy)	\frac{\partial\:}{\partial\:x}(xy+yz+zy)
serie de n=0 a infinity de (3^n)/(5^n)	\sum\:_{n=0}^{\infty\:}\frac{3^{n}}{5^{n}}
tangent y=6sin(x),\at x= pi/6	tangent\:y=6\sin(x),\at\:x=\frac{π}{6}
(\partial}{\partial y}(xy-\frac{x^4)/4)	\frac{\partial\:}{\partial\:y}(xy-\frac{x^{4}}{4})
integral de e^{-2x}sin(6x)	\int\:e^{-2x}\sin(6x)dx
derivada de x^6e^{2.5x}	\frac{d}{dx}(x^{6}e^{2.5x})
derivada de e^{-0.02x}	\frac{d}{dx}(e^{-0.02x})
derivative 18e^{x^2}x	derivative\:18e^{x^{2}}x
integral de (e^x)/(2x)	\int\:\frac{e^{x}}{2x}dx
y^{''}+2y^'+4y=5sin(t)	y^{\prime\:\prime\:}+2y^{\prime\:}+4y=5\sin(t)
integral de (-x^2-3x+6)^2	\int\:(-x^{2}-3x+6)^{2}dx
y^{''}-5y^'+6y=0,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-5y^{\prime\:}+6y=0,y(0)=0,y^{\prime\:}(0)=0
derivative (2^x)/(3x-1)	derivative\:\frac{2^{x}}{3x-1}
serie de n=1 a infinity de (5nln(n))/(6^n)	\sum\:_{n=1}^{\infty\:}\frac{5n\ln(n)}{6^{n}}
derivative (5+csc(x))/(9-csc(x))	derivative\:\frac{5+\csc(x)}{9-\csc(x)}
(1+t^2)(dy)/(dt)+2ty=t	(1+t^{2})\frac{dy}{dt}+2ty=t
integral de \sqrt[3]{7t}	\int\:\sqrt[3]{7t}dt
derivative (x^2)/(sqrt(x^2+5))	derivative\:\frac{x^{2}}{\sqrt{x^{2}+5}}
taylor e^{-x}	taylor\:e^{-x}
inversalaplace 1/((s^4-1))	inverselaplace\:\frac{1}{(s^{4}-1)}
integral de 1/(7+5x)	\int\:\frac{1}{7+5x}dx
tangent f(x)=(x-1)/(x+1),\at x=0	tangent\:f(x)=\frac{x-1}{x+1},\at\:x=0
derivada de (sqrt(x)+c^2)	\frac{d}{dx}((\sqrt{x}+c)^{2})
tangent x^2+xy-y^2=-4,(2,4)	tangent\:x^{2}+xy-y^{2}=-4,(2,4)
y^'=(5x^5e^{y/x}+x^3y^2)/(x^4y)	y^{\prime\:}=\frac{5x^{5}e^{\frac{y}{x}}+x^{3}y^{2}}{x^{4}y}
integral de ((x+5)/(x^2+5x+6))	\int\:(\frac{x+5}{x^{2}+5x+6})dx
inversalaplace 1/(s+1/2)	inverselaplace\:\frac{1}{s+\frac{1}{2}}
derivative f(x)= 4/(x^7)	derivative\:f(x)=\frac{4}{x^{7}}
laplacetransformación 4t-e^{-3t}	laplacetransform\:4t-e^{-3t}
tangent f(x)=20(x-1)e^{-0.5x},\at x=4	tangent\:f(x)=20(x-1)e^{-0.5x},\at\:x=4
derivative f(x)=x^2+6	derivative\:f(x)=x^{2}+6
y^{''}-7y^'=2t	y^{\prime\:\prime\:}-7y^{\prime\:}=2t
integral de 5/(sqrt(25x^2-9))	\int\:\frac{5}{\sqrt{25x^{2}-9}}dx
área-2x^2+8,-x-6	area\:-2x^{2}+8,-x-6
integral de (x^3-2x^2-4)/(x^3-2x^2)	\int\:\frac{x^{3}-2x^{2}-4}{x^{3}-2x^{2}}dx
integral de (x^4+2)/(x^3+9x)	\int\:\frac{x^{4}+2}{x^{3}+9x}dx
integral de (x+1)/(x^5)	\int\:\frac{x+1}{x^{5}}dx
derivative y=9arctan(x+sqrt(1+x^2))	derivative\:y=9\arctan(x+\sqrt{1+x^{2}})
implicit (dy)/(dx),y=x^2+5	implicit\:\frac{dy}{dx},y=x^{2}+5
derivative-1.8t^2+14.4t	derivative\:-1.8t^{2}+14.4t
derivative y=tsin(t)+cos(t)	derivative\:y=t\sin(t)+\cos(t)
integral de 9ln(x)	\int\:9\ln(x)dx
derivative (-x^2-2)/((x^2-2)^2)	derivative\:\frac{-x^{2}-2}{(x^{2}-2)^{2}}
(\partial)/(\partial x)(2x-x^3+3xy^2)	\frac{\partial\:}{\partial\:x}(2x-x^{3}+3xy^{2})
taylor ln(cos(x))	taylor\:\ln(\cos(x))
(dy)/(dx)= x/(36y)	\frac{dy}{dx}=\frac{x}{36y}
inversalaplace 8/(s^2+64)	inverselaplace\:\frac{8}{s^{2}+64}
integral de (4x^3+6x^2-1)	\int\:(4x^{3}+6x^{2}-1)dx
integral de csc(x/2)	\int\:\csc(\frac{x}{2})dx
(\partial)/(\partial y)(10xy)	\frac{\partial\:}{\partial\:y}(10xy)
derivative 1/(x^2-2x-3)	derivative\:\frac{1}{x^{2}-2x-3}
límite cuando x tiende a 4 de 1/(sqrt(x+4))	\lim\:_{x\to\:4}(\frac{1}{\sqrt{x+4}})
integral de sin^{11}(x)cos^5(x)	\int\:\sin^{11}(x)\cos^{5}(x)dx
integral de ((19.8)/x-9x^2)	\int\:(\frac{19.8}{x}-9x^{2})dx
y^{''}+8y^'+20y=0,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+8y^{\prime\:}+20y=0,y(0)=0,y^{\prime\:}(0)=0
integral de 1 a 2 de x(2-x)	\int\:_{1}^{2}x(2-x)dx
integral de 0 a 1 de (85)/(x^5)	\int\:_{0}^{1}\frac{85}{x^{5}}dx
derivada de x/(9+x)	\frac{d}{dx}(\frac{x}{9+x})
derivative f(x)=sqrt(x^2+10)	derivative\:f(x)=\sqrt{x^{2}+10}
integral de sin^2(x/4)	\int\:\sin^{2}(\frac{x}{4})dx
y^'+xy=xy^{-1}	y^{\prime\:}+xy=xy^{-1}
derivada de xey(x^2+yln(x))	\frac{d}{dx}(xey(x)^{2}+y\ln(x))
integral de 1/(x^4sqrt(1+x^2))	\int\:\frac{1}{x^{4}\sqrt{1+x^{2}}}dx
taylor ln(1-3y)	taylor\:\ln(1-3y)
integral de ((x^2))/(x^2+9)	\int\:\frac{(x^{2})}{x^{2}+9}dx
integral de (5-x)/(x^2+x-2)	\int\:\frac{5-x}{x^{2}+x-2}dx
derivada de e^{-4x}sin(4x)	\frac{d}{dx}(e^{-4x}\sin(4x))
integral de (tan^2(θ))/(sec(θ))	\int\:\frac{\tan^{2}(θ)}{\sec(θ)}dθ
-y+(dy)/(dx)ln(x)=0	-y+\frac{dy}{dx}\ln(x)=0
derivada de arcsin(x^2+1)	\frac{d}{dx}(\arcsin(x^{2}+1))
tangent y= x/(sqrt(36+x^2)),(0,0)	tangent\:y=\frac{x}{\sqrt{36+x^{2}}},(0,0)
integral de 5/(sqrt(x)(7+5\sqrt{x))^6}	\int\:\frac{5}{\sqrt{x}(7+5\sqrt{x})^{6}}dx
paridad f(t)=tan(sec(cos(t)))	parity\:f(t)=\tan(\sec(\cos(t)))
límite cuando x tiende a 1+de sqrt(x)	\lim\:_{x\to\:1+}(\sqrt{x})
límite cuando x tiende a 5 de 76	\lim\:_{x\to\:5}(76)
(dy)/(dx)=x+y,y(0)=1	\frac{dy}{dx}=x+y,y(0)=1
integral de-5 a 7 de (x/2+7)	\int\:_{-5}^{7}(\frac{x}{2}+7)dx
derivative (ln(x))^{4sin(x)}	derivative\:(\ln(x))^{4\sin(x)}

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