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Problemas populares

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Problemas populares de Cálculo

derivative 7x^3e^x	derivative\:7x^{3}e^{x}
tangent f(x)=-1/((x-5)^2),\at x=-4	tangent\:f(x)=-\frac{1}{(x-5)^{2}},\at\:x=-4
integral de (x^3+3x-1)/(x^4-4x^2)	\int\:\frac{x^{3}+3x-1}{x^{4}-4x^{2}}dx
límite cuando x tiende a 0-de (e^{3x})/(2x)	\lim\:_{x\to\:0-}(\frac{e^{3x}}{2x})
(dy)/(dx)=xy^4-y	\frac{dy}{dx}=xy^{4}-y
límite cuando x tiende a 1-f de x	\lim\:_{x\to\:1-f}(x)
derivada de (1+8x^2(x-x^2))	\frac{d}{dx}((1+8x^{2})(x-x^{2}))
área y=-x^3,x=-2,x=2,y=0	area\:y=-x^{3},x=-2,x=2,y=0
límite cuando x tiende a-8 de (12x)/(8+x)	\lim\:_{x\to\:-8}(\frac{12x}{8+x})
derivada de 2+e^{-x^3}	\frac{d}{dx}(2+e^{-x^{3}})
tangent f(x)= x/(2x+3),\at x=-1	tangent\:f(x)=\frac{x}{2x+3},\at\:x=-1
(\partial)/(\partial x)(3x)	\frac{\partial\:}{\partial\:x}(3x)
integral de (1+tan(x))/(x+ln\|sec(x)\|)	\int\:\frac{1+\tan(x)}{x+\ln\left\|\sec(x)\right\|}dx
derivada de xsqrt(4+3x^3)	\frac{d}{dx}(x\sqrt{4+3x^{3}})
derivada de 3sin(5x)	\frac{d}{dx}(3\sin(5x))
límite cuando x tiende a infinity de (1/3)^{x+2}+4	\lim\:_{x\to\:\infty\:}((\frac{1}{3})^{x+2}+4)
inversalaplace (4s)/((4s^2+1))	inverselaplace\:\frac{4s}{(4s^{2}+1)}
derivada de 3+cos(x)	\frac{d}{dx}(3+\cos(x))
serie de n=0 a infinity}e^{-n de+1	\sum\:_{n=0}^{\infty\:}e^{-n}+1
integral de x/(sqrt(4+x^2))	\int\:\frac{x}{\sqrt{4+x^{2}}}dx
derivative (x^5+e^x)/(x+2)	derivative\:\frac{x^{5}+e^{x}}{x+2}
tangent f(x)=4x^{1/2}+8x^{3/2}+9,\at x=4	tangent\:f(x)=4x^{\frac{1}{2}}+8x^{\frac{3}{2}}+9,\at\:x=4
integral de e a infinity de x^0ln(x)	\int\:_{e}^{\infty\:}x^{0}\ln(x)dx
inversalaplace ((2s+2))/((s+10))	inverselaplace\:\frac{(2s+2)}{(s+10)}
integral de 1/(P(a-bP))	\int\:\frac{1}{P(a-bP)}dP
(\partial)/(\partial y)((x^2)/(y+1))	\frac{\partial\:}{\partial\:y}(\frac{x^{2}}{y+1})
(\partial)/(\partial x)(-sin(2x))	\frac{\partial\:}{\partial\:x}(-\sin(2x))
derivative y=((x^2+3))/(2x)	derivative\:y=\frac{(x^{2}+3)}{2x}
derivada de ln(12cos^2(x))	\frac{d}{dx}(\ln(12\cos^{2}(x)))
límite cuando x tiende a 0 de xlog_{e}(x)	\lim\:_{x\to\:0}(x\log_{e}(x))
derivada de (1+2/x ^x)	\frac{d}{dx}((1+\frac{2}{x})^{x})
derivada de (e^{3x}/(e^{3x)+2})	\frac{d}{dx}(\frac{e^{3x}}{e^{3x}+2})
derivada de (-3/(x^2))	\frac{d}{dx}(\frac{-3}{x^{2}})
integral de (1/(x^3))	\int\:(\frac{1}{x^{3}})dx
integral de x^{n+1}	\int\:x^{n+1}dx
integral de xsin(1/5 x)	\int\:x\sin(\frac{1}{5}x)dx
derivative 2sqrt(x-4)	derivative\:2\sqrt{x-4}
integral de 2 a 5 de t^2ln(3t)	\int\:_{2}^{5}t^{2}\ln(3t)dt
integral de t^2e^{-18t}	\int\:t^{2}e^{-18t}dt
derivative g(x)=(e^x)/(9e^x+x^2)	derivative\:g(x)=\frac{e^{x}}{9e^{x}+x^{2}}
integral de (x^2-x+12)/(x^3+3x)	\int\:\frac{x^{2}-x+12}{x^{3}+3x}dx
derivada de (x-1^2(2-x))	\frac{d}{dx}((x-1)^{2}(2-x))
integral de 2x^{-1/3}	\int\:2x^{-\frac{1}{3}}dx
derivative y=xarcsin(x)+sqrt(1-x^2)	derivative\:y=x\arcsin(x)+\sqrt{1-x^{2}}
(\partial)/(\partial x)(9sin(2x+y))	\frac{\partial\:}{\partial\:x}(9\sin(2x+y))
(\partial)/(\partial x)(x^2y+yz^3+z^5x)	\frac{\partial\:}{\partial\:x}(x^{2}y+yz^{3}+z^{5}x)
(6y+2x-7)dx+(4y+6x-1)dy=0,y(-1)=2	(6y+2x-7)dx+(4y+6x-1)dy=0,y(-1)=2
d/(d{z)}(({x}^2+{y}^2+{z}^2)^{-1/2}+ln({x}{y}{z}))	\frac{d}{d{z}}(({x}^{2}+{y}^{2}+{z}^{2})^{-\frac{1}{2}}+\ln({x}{y}{z}))
y^'=12t^2e^{-y}	y^{\prime\:}=12t^{2}e^{-y}
integral de (x^2)/(sqrt(x^6+9))	\int\:\frac{x^{2}}{\sqrt{x^{6}+9}}dx
integral de (4x)/((x^2+1)(x^2+2x+3))	\int\:\frac{4x}{(x^{2}+1)(x^{2}+2x+3)}dx
integral de 0 a 10 de 20te^{-0.6t}	\int\:_{0}^{10}20te^{-0.6t}dt
integral de (x+3)/((x+1)(x+2))	\int\:\frac{x+3}{(x+1)(x+2)}dx
área-X^3+X,X=-1,Y=-1/2	area\:-X^{3}+X,X=-1,Y=-\frac{1}{2}
derivada de arccos(x/2)	\frac{d}{dx}(\arccos(\frac{x}{2}))
derivative f(-1)=4x^2+4x-3	derivative\:f(-1)=4x^{2}+4x-3
derivative f(x)=((sqrt(x))/(x+1))^2	derivative\:f(x)=(\frac{\sqrt{x}}{x+1})^{2}
(\partial)/(\partial y)(e^x(1-cos(y)))	\frac{\partial\:}{\partial\:y}(e^{x}(1-\cos(y)))
inversalaplace 4/(s-2)	inverselaplace\:\frac{4}{s-2}
y^'=((x^2+3y^2))/(2xy)	y^{\prime\:}=\frac{(x^{2}+3y^{2})}{2xy}
límite cuando x tiende a-2 de 2x+3	\lim\:_{x\to\:-2}(2x+3)
derivative u(x)=\sqrt[3]{x}	derivative\:u(x)=\sqrt[3]{x}
derivative (2t^2-1)^3	derivative\:(2t^{2}-1)^{3}
límite cuando x tiende a 3 de sqrt(x-13)	\lim\:_{x\to\:3}(\sqrt{x-13})
(dy)/(dx)=y+x,y(1)=2	\frac{dy}{dx}=y+x,y(1)=2
límite cuando x tiende a 0 de xarctan(1/x)	\lim\:_{x\to\:0}(x\arctan(\frac{1}{x}))
derivada de (e^{3x}+1^2)	\frac{d}{dx}((e^{3x}+1)^{2})
derivative 3tsec(t)	derivative\:3t\sec(t)
laplacetransformación t*sin(2t)	laplacetransform\:t\cdot\:\sin(2t)
y^{''}-y^'+y=13sin(t)	y^{\prime\:\prime\:}-y^{\prime\:}+y=13\sin(t)
límite cuando x tiende a 0 de (4x)/(sin(x))	\lim\:_{x\to\:0}(\frac{4x}{\sin(x)})
derivative f(x)=2+7/x+2/(x^2)	derivative\:f(x)=2+\frac{7}{x}+\frac{2}{x^{2}}
derivative 1+tan^2(x)	derivative\:1+\tan^{2}(x)
integral de (1-csc(x)cot(x))	\int\:(1-\csc(x)\cot(x))dx
derivada de sin(2x^3-3)	\frac{d}{dx}(\sin(2x^{3}-3))
tangent x^2+6x	tangent\:x^{2}+6x
derivada de e^{2x}e^{3x}e^{4x}	\frac{d}{dx}(e^{2x}e^{3x}e^{4x})
f^'(x)=x-3+pix^2-sqrt(2)	f^{\prime\:}(x)=x-3+πx^{2}-\sqrt{2}
límite cuando x tiende a 1 de 5x^2+2	\lim\:_{x\to\:1}(5x^{2}+2)
área y=sqrt(x)+1,y=sqrt(2-x)+1,y=1	area\:y=\sqrt{x}+1,y=\sqrt{2-x}+1,y=1
x^2y^'+xy=1,y(1)=2	x^{2}y^{\prime\:}+xy=1,y(1)=2
derivative 22e^{x^2}x	derivative\:22e^{x^{2}}x
serie de n=0 a infinity de ((9^n))/(n!)	\sum\:_{n=0}^{\infty\:}\frac{(9^{n})}{n!}
integral de (x+3)/(x^2+2x+2)	\int\:\frac{x+3}{x^{2}+2x+2}dx
integral de 0 a 2 de sqrt(e^x)	\int\:_{0}^{2}\sqrt{e^{x}}dx
área x^2+1,x+3,0	area\:x^{2}+1,x+3,0
(d^2}{dx^2}(-\frac{2x)/y)	\frac{d^{2}}{dx^{2}}(-\frac{2x}{y})
límite cuando x tiende a a de [f(x)g(x)]	\lim\:_{x\to\:a}([f(x)g(x)])
inversalaplace ((-2s+21))/((s^2-8s+20))	inverselaplace\:\frac{(-2s+21)}{(s^{2}-8s+20)}
derivada de x(x^3+7^4)	\frac{d}{dx}(x(x^{3}+7)^{4})
(\partial)/(\partial x)(x^2+y^2+z^2-4)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+z^{2}-4)
derivative y(θ)= pi/3 sin(θ)	derivative\:y(θ)=\frac{π}{3}\sin(θ)
(\partial)/(\partial x)(9xcos(3xy))	\frac{\partial\:}{\partial\:x}(9x\cos(3xy))
derivada de (x+a^2)	\frac{d}{dx}((x+a)^{2})
derivative 4sqrt(t)	derivative\:4\sqrt{t}
laplacetransformación sin^2(5t)	laplacetransform\:\sin^{2}(5t)
integral de (sin(x)+cos^2(x))/(cos^2(x))	\int\:\frac{\sin(x)+\cos^{2}(x)}{\cos^{2}(x)}dx
tangent f(x)= 6/(sqrt(x)),(1,6)	tangent\:f(x)=\frac{6}{\sqrt{x}},(1,6)
integral de e^{x+3y}	\int\:e^{x+3y}dx
integral de (sec^4(x))/(tan(x))	\int\:\frac{\sec^{4}(x)}{\tan(x)}dx

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