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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial x)(xe^{y/z})	\frac{\partial\:}{\partial\:x}(xe^{\frac{y}{z}})
(\partial)/(\partial x)(arcsin(x/(y^2)))	\frac{\partial\:}{\partial\:x}(\arcsin(\frac{x}{y^{2}}))
derivada de Axe^{-x}	\frac{d}{dx}(Axe^{-x})
derivative y=e^pi	derivative\:y=e^{π}
límite cuando x tiende a pi/2 de (sin(x)-cos(x))^{tan(x)}	\lim\:_{x\to\:\frac{π}{2}}((\sin(x)-\cos(x))^{\tan(x)})
integral de 8xe^{9x}	\int\:8xe^{9x}dx
taylor sqrt(x),8	taylor\:\sqrt{x},8
límite cuando x tiende a 0 de ((484+x)^{0.5}-22)/x	\lim\:_{x\to\:0}(\frac{(484+x)^{0.5}-22}{x})
tangent f(x)=x^4-10x^2+9,\at x=2	tangent\:f(x)=x^{4}-10x^{2}+9,\at\:x=2
límite cuando x tiende a 2 de 3/((x-2)^2)	\lim\:_{x\to\:2}(\frac{3}{(x-2)^{2}})
integral de 2sqrt(x+1)	\int\:2\sqrt{x+1}dx
derivada de arctan(sqrt(7x^2-1))	\frac{d}{dx}(\arctan(\sqrt{7x^{2}-1}))
derivada de (8x^2+2x+4/(sqrt(x)))	\frac{d}{dx}(\frac{8x^{2}+2x+4}{\sqrt{x}})
integral de (4x-1)/((x+9)(x+2))	\int\:\frac{4x-1}{(x+9)(x+2)}dx
integral de 3 a 4 de-x^2+7x-12	\int\:_{3}^{4}-x^{2}+7x-12dx
integral de 9x^2ln(x)	\int\:9x^{2}\ln(x)dx
límite cuando x tiende a 6+de ln(x^2-36)	\lim\:_{x\to\:6+}(\ln(x^{2}-36))
y^'+xy=x	y^{\prime\:}+xy=x
tangent y=7e^{1-x^2},\at	tangent\:y=7e^{1-x^{2}},\at\:
derivada de (1-x/2 ^{e^{x^2}})	\frac{d}{dx}((1-\frac{x}{2})^{e^{x^{2}}})
x(dy)/(dx)+(3x+1)y=e^{3x}	x\frac{dy}{dx}+(3x+1)y=e^{3x}
(6y+2t-7)dt+(8y+6t-1)dy=0	(6y+2t-7)dt+(8y+6t-1)dy=0
integral de x/(sqrt(3-2x-x^2))	\int\:\frac{x}{\sqrt{3-2x-x^{2}}}dx
y^'=ty^2	y^{\prime\:}=ty^{2}
integral de 2 a 1/x de arctan(t)	\int\:_{2}^{\frac{1}{x}}\arctan(t)dt
(cos(pi))^'	(\cos(π))^{\prime\:}
integral de-5 a 0 de (4+sqrt(25-x^2))	\int\:_{-5}^{0}(4+\sqrt{25-x^{2}})dx
límite cuando x tiende a 8 de (x+9)/(x-8)	\lim\:_{x\to\:8}(\frac{x+9}{x-8})
y^{''}+256y=7cos(5t)	y^{\prime\:\prime\:}+256y=7\cos(5t)
inversalaplace (10)/(s^2+25)+4/(s-3)	inverselaplace\:\frac{10}{s^{2}+25}+\frac{4}{s-3}
integral de (sqrt(x^2-25))/x	\int\:\frac{\sqrt{x^{2}-25}}{x}dx
integral de 1064-0.005x	\int\:1064-0.005xdx
derivative x^2+4x	derivative\:x^{2}+4x
inversalaplace 8/((2s+1)^3)	inverselaplace\:\frac{8}{(2s+1)^{3}}
(\partial)/(\partial x)(2x+3y-4)	\frac{\partial\:}{\partial\:x}(2x+3y-4)
derivative f(x) 2/(sqrt(x))	derivative\:f(x)\frac{2}{\sqrt{x}}
derivative (x^2-2x-3)/((x-1)^2)	derivative\:\frac{x^{2}-2x-3}{(x-1)^{2}}
144y^{'''}+168y^{''}+49y^'=0	144y^{\prime\:\prime\:\prime\:}+168y^{\prime\:\prime\:}+49y^{\prime\:}=0
derivada de (3x/(1+x^2))	\frac{d}{dx}(\frac{3x}{1+x^{2}})
x(dy)/(dx)=y+xe^x	x\frac{dy}{dx}=y+xe^{x}
derivada de 3/(sqrt(x+5))	\frac{d}{dx}(\frac{3}{\sqrt{x+5}})
integral de 19tan^3(x)	\int\:19\tan^{3}(x)dx
integral de (1-cos(θ))^3	\int\:(1-\cos(θ))^{3}dθ
x^{''}+bx=0	x^{\prime\:\prime\:}+bx=0
integral de (2x^2+3x+7)	\int\:(2x^{2}+3x+7)dx
tangent y=x^2-3,(-1,-2)	tangent\:y=x^{2}-3,(-1,-2)
derivative f(x)=7x^3e^{-x}	derivative\:f(x)=7x^{3}e^{-x}
integral de 1/(y^{1/2)}	\int\:\frac{1}{y^{\frac{1}{2}}}dy
integral de e^{2x}sin(e^{2x})	\int\:e^{2x}\sin(e^{2x})dx
integral de 4t^3+t	\int\:4t^{3}+tdt
derivative y=10000+30xe^{x/(800)}	derivative\:y=10000+30xe^{\frac{x}{800}}
y^'-4/x y=(y^4)/(x^8)	y^{\prime\:}-\frac{4}{x}y=\frac{y^{4}}{x^{8}}
integral de 0 a y+z de 1/((z+y+x)^3)	\int\:_{0}^{y+z}\frac{1}{(z+y+x)^{3}}dx
y^'= 1/x y-((x^2)/3)y^4	y^{\prime\:}=\frac{1}{x}y-(\frac{x^{2}}{3})y^{4}
área x+2y=2,y-x=1,2x+y=7	area\:x+2y=2,y-x=1,2x+y=7
derivada de pi/(sqrt(x))	\frac{d}{dx}(\frac{π}{\sqrt{x}})
derivative 5cos(pit)	derivative\:5\cos(πt)
integral de 0 a 3 de (x+1)(2x-3)	\int\:_{0}^{3}(x+1)(2x-3)dx
(\partial)/(\partial x)(4x^3y^3+3)	\frac{\partial\:}{\partial\:x}(4x^{3}y^{3}+3)
d/(dn)(2^n)	\frac{d}{dn}(2^{n})
longdivision (x-1)/(x+1)	longdivision\:\frac{x-1}{x+1}
xy^'=y+x^2sin(x),y(pi)=0	xy^{\prime\:}=y+x^{2}\sin(x),y(π)=0
límite cuando x tiende a 0-de sqrt(x^2+4)	\lim\:_{x\to\:0-}(\sqrt{x^{2}+4})
derivada de e^{-4x^6}	\frac{d}{dx}(e^{-4x^{6}})
(dy)/(dx)+ay=b	\frac{dy}{dx}+ay=b
derivada de ln(sqrt((1-sin(x)/(1+sin(x)))))	\frac{d}{dx}(\ln(\sqrt{\frac{1-\sin(x)}{1+\sin(x)}}))
serie de n=0 a infinity de (7/8)^n	\sum\:_{n=0}^{\infty\:}(\frac{7}{8})^{n}
(\partial)/(\partial y)((z^2+2x+y)/(xy))	\frac{\partial\:}{\partial\:y}(\frac{z^{2}+2x+y}{xy})
(\partial)/(\partial x)(x^2+y-e^{x+y})	\frac{\partial\:}{\partial\:x}(x^{2}+y-e^{x+y})
integral de ((y-2)^2)/(sqrt(y))	\int\:\frac{(y-2)^{2}}{\sqrt{y}}dy
laplacetransformación-5t^4	laplacetransform\:-5t^{4}
y=arctanh(1/(sqrt(x)))	y=\arctanh(\frac{1}{\sqrt{x}})
derivada de t/x	\frac{d}{dx}(\frac{t}{x})
derivative y=(2x-5)^{1/3}	derivative\:y=(2x-5)^{\frac{1}{3}}
integral de-1 a 2 de x	\int\:_{-1}^{2}xdx
(\partial)/(\partial x)(1/2xy^2)	\frac{\partial\:}{\partial\:x}(\frac{1}{2}\cdot\:x\cdot\:y^{2})
límite cuando x tiende a infinity de 4/x-2	\lim\:_{x\to\:\infty\:}(\frac{4}{x}-2)
tangent 100x^2+400x+5000	tangent\:100x^{2}+400x+5000
integral de x/(x^4+6x^2+10)	\int\:\frac{x}{x^{4}+6x^{2}+10}dx
integral de 1/(sqrt(4-(u+3)))	\int\:\frac{1}{\sqrt{4-(u+3)}}du
derivada de 2sin^2(x/2)	\frac{d}{dx}(2\sin^{2}(\frac{x}{2}))
tangent f(x)=(-6x)/(x^2+1),\at x=0	tangent\:f(x)=\frac{-6x}{x^{2}+1},\at\:x=0
integral de tan(θ)sec(θ)sec^2(θ)	\int\:\tan(θ)\sec(θ)\sec^{2}(θ)dθ
derivada de ln(4+ln(x))	\frac{d}{dx}(\ln(4+\ln(x)))
(\partial)/(\partial x)(axln(ax))	\frac{\partial\:}{\partial\:x}(ax\ln(ax))
integral de 49y	\int\:49ydy
laplacetransformación e^{-4t}	laplacetransform\:e^{-4t}
integral de x/(2x^2-5)	\int\:\frac{x}{2x^{2}-5}dx
integral de x^2(x^2+2x)^2	\int\:x^{2}(x^{2}+2x)^{2}dx
tangent f(x)=cos(3x)ln(x^4)	tangent\:f(x)=\cos(3x)\ln(x^{4})
integral de (3tan(θ)-4cos^2(θ))/(cos(θ))	\int\:\frac{3\tan(θ)-4\cos^{2}(θ)}{\cos(θ)}dθ
límite cuando x tiende a 0+de (ln^2(x))/2	\lim\:_{x\to\:0+}(\frac{\ln^{2}(x)}{2})
(\partial)/(\partial y)(x^2+x/y)	\frac{\partial\:}{\partial\:y}(x^{2}+\frac{x}{y})
integral de x^{11}sqrt(x^6+6)	\int\:x^{11}\sqrt{x^{6}+6}dx
tangent 2x^2-3x+4	tangent\:2x^{2}-3x+4
límite cuando x tiende a 1 de (x-2)/(x-1)	\lim\:_{x\to\:1}(\frac{x-2}{x-1})
límite cuando x tiende a 0+de ln(x)tan(x)	\lim\:_{x\to\:0+}(\ln(x)\tan(x))
límite cuando x tiende a-4 de 2/((x+4)^6)	\lim\:_{x\to\:-4}(\frac{2}{(x+4)^{6}})
derivada de f(x)=(x^4+3x^2-9)^6	\frac{d}{dx}f(x)=(x^{4}+3x^{2}-9)^{6}
integral de (x^2-x-5)/(x^3+x^2-2)	\int\:\frac{x^{2}-x-5}{x^{3}+x^{2}-2}dx

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