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Problemas populares

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Problemas populares de Cálculo

implicit (dy)/(dx),arctan(xy)=arcsin(2x+2y),(0,0)	implicit\:\frac{dy}{dx},\arctan(xy)=\arcsin(2x+2y),(0,0)
2ty^'-4y=4t^4e^{t^2}	2ty^{\prime\:}-4y=4t^{4}e^{t^{2}}
(\partial)/(\partial x)(4e^{5xy})	\frac{\partial\:}{\partial\:x}(4e^{5xy})
límite cuando x tiende a+0 de 1/(csc(x))	\lim\:_{x\to\:+0}(\frac{1}{\csc(x)})
integral de 1/(100x^2+1)	\int\:\frac{1}{100x^{2}+1}dx
y^'= y/x+(6x^3)/y cos(x^2)	y^{\prime\:}=\frac{y}{x}+\frac{6x^{3}}{y}\cos(x^{2})
tangent y=2x+x^2,(-2,0)	tangent\:y=2x+x^{2},(-2,0)
integral de x*x	\int\:x\cdot\:xdx
derivative y=(x^2-7x)^2	derivative\:y=(x^{2}-7x)^{2}
derivative x/(x^2+100)	derivative\:\frac{x}{x^{2}+100}
integral de 0 a 2 de 1/x	\int\:_{0}^{2}\frac{1}{x}dx
f^'(x)=3x^2	f^{\prime\:}(x)=3x^{2}
integral de tan^3(9x)	\int\:\tan^{3}(9x)dx
derivada de pix(x-3)	\frac{d}{dx}(πx(x-3))
integral de-2pi a 2pi de pisin^2(x)	\int\:_{-2π}^{2π}π\sin^{2}(x)dx
integral de sec^3(1-4x)	\int\:\sec^{3}(1-4x)dx
y^{''}-10y^'+25y=0,y(0)=0,y^'(0)=3	y^{\prime\:\prime\:}-10y^{\prime\:}+25y=0,y(0)=0,y^{\prime\:}(0)=3
integral de xe^{-2x}	\int\:xe^{-2x}dx
integral de (x^2)/(x-7)	\int\:\frac{x^{2}}{x-7}dx
derivada de 1/(x^4-3/(x^2))	\frac{d}{dx}(\frac{1}{x^{4}}-\frac{3}{x^{2}})
derivada de (1-x/(1+sqrt(x)))	\frac{d}{dx}(\frac{1-x}{1+\sqrt{x}})
derivative sqrt(x)(3x-2)	derivative\:\sqrt{x}(3x-2)
límite cuando x tiende a infinity+de 1/x+x	\lim\:_{x\to\:\infty\:+}(\frac{1}{x}+x)
integral de (e^{5sqrt(t)})/(sqrt(t))	\int\:\frac{e^{5\sqrt{t}}}{\sqrt{t}}dt
(d^2y)/(dx^2)+64y=0	\frac{d^{2}y}{dx^{2}}+64y=0
(\partial)/(\partial x)(sqrt(1-x^7-y^7))	\frac{\partial\:}{\partial\:x}(\sqrt{1-x^{7}-y^{7}})
límite cuando θ tiende a 0 de sin(θ)ln(θ)	\lim\:_{θ\to\:0}(\sin(θ)\ln(θ))
f(x)=(x^2-1)/x	f(x)=\frac{x^{2}-1}{x}
derivada de 15^x	\frac{d}{dx}(15^{x})
integral de xcos(2pi)x^2	\int\:x\cos(2π)x^{2}dx
límite cuando x tiende a-6 de x	\lim\:_{x\to\:-6}(x)
derivada de sqrt(12+x)	\frac{d}{dx}(\sqrt{12+x})
límite cuando x tiende a 0 de 1/(2xcsc(4x))	\lim\:_{x\to\:0}(\frac{1}{2x\csc(4x)})
límite cuando x tiende a 0+de (x/(34))^x	\lim\:_{x\to\:0+}((\frac{x}{34})^{x})
integral de 0 a 16 de 1/(64-x^2)	\int\:_{0}^{16}\frac{1}{64-x^{2}}dx
y^3-(14x+4)+3xy^2y^'=0	y^{3}-(14x+4)+3xy^{2}y^{\prime\:}=0
y+y^4=(y^6+3x)(dy)/(dx)	y+y^{4}=(y^{6}+3x)\frac{dy}{dx}
derivative y=(((3x^2))/((2x+4)))^3	derivative\:y=(\frac{(3x^{2})}{(2x+4)})^{3}
límite cuando x tiende a 2+de 1	\lim\:_{x\to\:2+}(1)
integral de sqrt(x+\sqrt{x^2+2)}	\int\:\sqrt{x+\sqrt{x^{2}+2}}dx
derivada de x^3+x^2y^3-2y^2	\frac{d}{dx}(x^{3}+x^{2}y^{3}-2y^{2})
derivada de (4x^2+1^2)	\frac{d}{dx}((4x^{2}+1)^{2})
integral de 1/(x^4(x^2+3)^{1/2)}	\int\:\frac{1}{x^{4}(x^{2}+3)^{\frac{1}{2}}}dx
límite cuando x tiende a 0+de e^{5/x}	\lim\:_{x\to\:0+}(e^{\frac{5}{x}})
derivada de (x^8-2^3)	\frac{d}{dx}((x^{8}-2)^{3})
(\partial)/(\partial x)(4y^3+2x^2y+1)	\frac{\partial\:}{\partial\:x}(4y^{3}+2x^{2}y+1)
(dy)/(dx)x+7y=e^{x^7}	\frac{dy}{dx}x+7y=e^{x^{7}}
integral de (ye^{x^2+y^2}+3y^2)	\int\:(ye^{x^{2}+y^{2}}+3y^{2})dy
derivada de (x^5/6+1/(10x^3))	\frac{d}{dx}(\frac{x^{5}}{6}+\frac{1}{10x^{3}})
derivative f(x)=(2-3x-x^2)/(x^2-4)	derivative\:f(x)=\frac{2-3x-x^{2}}{x^{2}-4}
integral de (4x)/(x^2-1)	\int\:\frac{4x}{x^{2}-1}dx
y^{''}+4y^'=2x-3e^x	y^{\prime\:\prime\:}+4y^{\prime\:}=2x-3e^{x}
integral de 5cos^3(x)	\int\:5\cos^{3}(x)dx
derivada de 3/((2x-1^3))	\frac{d}{dx}(\frac{3}{(2x-1)^{3}})
derivada de sqrt((1+x/(1-x)))	\frac{d}{dx}(\sqrt{\frac{1+x}{1-x}})
laplacetransformación (t^3-3t+2)e^{-2t}	laplacetransform\:(t^{3}-3t+2)e^{-2t}
integral de 0 a 5 de 1/(1+x^2)	\int\:_{0}^{5}\frac{1}{1+x^{2}}dx
(y^2+xy^2)((dy)/(dx))=1	(y^{2}+xy^{2})(\frac{dy}{dx})=1
integral de (2sqrt(x)-\sqrt[3]{x}-x^4)	\int\:(2\sqrt{x}-\sqrt[3]{x}-x^{4})dx
x^2(dy)/(dx)-2xy=6y^4,y(1)= 1/4	x^{2}\frac{dy}{dx}-2xy=6y^{4},y(1)=\frac{1}{4}
y^{''}+y^'=sec(x)tan(x)	y^{\prime\:\prime\:}+y^{\prime\:}=\sec(x)\tan(x)
derivative f(x)=(8x)/(8+sqrt(x))	derivative\:f(x)=\frac{8x}{8+\sqrt{x}}
y^'=((1+y^6))/(xy^5)	y^{\prime\:}=\frac{(1+y^{6})}{xy^{5}}
integral de x^{21}sin(x^{22})	\int\:x^{21}\sin(x^{22})dx
derivada de x^3y^2-3xsin(xy)	\frac{d}{dx}(x^{3}y^{2}-3x\sin(xy))
derivada de 1/(2sqrt(x)+5cos(x))	\frac{d}{dx}(\frac{1}{2\sqrt{x}}+5\cos(x))
derivada de-x^2+6x-4	\frac{d}{dx}(-x^{2}+6x-4)
integral de nx^n	\int\:nx^{n}dx
integral de 1/(x^2sqrt(3-x^2))	\int\:\frac{1}{x^{2}\sqrt{3-x^{2}}}dx
límite cuando x tiende a infinity de-2x	\lim\:_{x\to\:\infty\:}(-2x)
(sqrt(2x^4+1))/y (dy)/(dx)+1/6 y^3x^3=0	\frac{\sqrt{2x^{4}+1}}{y}\frac{dy}{dx}+\frac{1}{6}y^{3}x^{3}=0
derivative 1/(2x)	derivative\:\frac{1}{2x}
integral de pix^2	\int\:πx^{2}dx
integral de x^{-3}sin(x)	\int\:x^{-3}\sin(x)dx
y^'-y=5	y^{\prime\:}-y=5
integral de sin^5(4x)cos^2(4x)	\int\:\sin^{5}(4x)\cos^{2}(4x)dx
integral de x^3*6^{-x}	\int\:x^{3}\cdot\:6^{-x}dx
derivada de sin(2x^3-4x)	\frac{d}{dx}(\sin(2x^{3}-4x))
integral de (e^{x/2}-e^{-x/2})	\int\:(e^{\frac{x}{2}}-e^{-\frac{x}{2}})dx
derivative 3x^2-30x+72	derivative\:3x^{2}-30x+72
implicit y^4-3xy^5=1	implicit\:y^{4}-3xy^{5}=1
derivative 127q+1406	derivative\:127q+1406
integral de 0 a 7 de (7-x)	\int\:_{0}^{7}(7-x)dx
tangent f(x)=x^x	tangent\:f(x)=x^{x}
derivada de 31arctan(sqrt(x))	\frac{d}{dx}(31\arctan(\sqrt{x}))
(\partial)/(\partial x)(e^y+x+x^2+4)	\frac{\partial\:}{\partial\:x}(e^{y}+x+x^{2}+4)
límite cuando x tiende a 2-de (x-3)^2	\lim\:_{x\to\:2-}((x-3)^{2})
integral de (3u+2)^3	\int\:(3u+2)^{3}du
derivative 5x^2+3x-8	derivative\:5x^{2}+3x-8
integral de (sec^2(ln(x)))/x	\int\:\frac{\sec^{2}(\ln(x))}{x}dx
integral de 7/y	\int\:\frac{7}{y}dy
integral de (5x+3)/((x+1)(x^2+1))	\int\:\frac{5x+3}{(x+1)(x^{2}+1)}dx
derivada de (x+1^2(x-5))	\frac{d}{dx}((x+1)^{2}(x-5))
(\partial)/(\partial y)(2+3x+4y)	\frac{\partial\:}{\partial\:y}(2+3x+4y)
integral de (35)/(1-cos(7x))	\int\:\frac{35}{1-\cos(7x)}dx
integral de (x^3-7)/x	\int\:\frac{x^{3}-7}{x}dx
integral de arctan((sin(x))/(1+cos(x)))	\int\:\arctan(\frac{\sin(x)}{1+\cos(x)})dx
derivative ((x^2+4)/(x^2-4))^4	derivative\:(\frac{x^{2}+4}{x^{2}-4})^{4}
(dy)/(dx)=(y-1)^3	\frac{dy}{dx}=(y-1)^{3}
tangent y=(4x+5)/(x-1),(2,13)	tangent\:y=\frac{4x+5}{x-1},(2,13)

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