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Problemas populares

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Problemas populares de Cálculo

derivada de-kx	\frac{d}{dx}(-kx)
integral de cos(x)-xsin(x)	\int\:\cos(x)-x\sin(x)dx
derivative e^{-x^{62}}	derivative\:e^{-x^{62}}
y^'=x-2y	y^{\prime\:}=x-2y
pendiente (1,4),(-5,2)	slope\:(1,4),(-5,2)
integral de 1/(sqrt(12x-9x^2-2))	\int\:\frac{1}{\sqrt{12x-9x^{2}-2}}dx
derivative 3xy	derivative\:3xy
derivative sin(x)ln(2x)	derivative\:\sin(x)\ln(2x)
(\partial)/(\partial x)(45ysin(9x))	\frac{\partial\:}{\partial\:x}(45y\sin(9x))
integral de 1 a 3 de (y^4+1/(4y^4))	\int\:_{1}^{3}(y^{4}+\frac{1}{4y^{4}})dy
y^{''}+6y^'+25y=0,y(0)=a,y^'(0)=b	y^{\prime\:\prime\:}+6y^{\prime\:}+25y=0,y(0)=a,y^{\prime\:}(0)=b
integral de 3 a 7 de 1	\int\:_{3}^{7}1dx
integral de 0 a 6 de 1/18 x	\int\:_{0}^{6}\frac{1}{18}xdx
derivada de xpi	\frac{d}{dx}(xπ)
inversalaplace 1/((s+3)^2)	inverselaplace\:\frac{1}{(s+3)^{2}}
tangent (5x)/(sqrt(4-x^2))	tangent\:\frac{5x}{\sqrt{4-x^{2}}}
derivative 8x^2cos(x)cot(x)	derivative\:8x^{2}\cos(x)\cot(x)
y^'=(6x^6e^{y/x}+x^4y^2)/(x^5y)	y^{\prime\:}=\frac{6x^{6}e^{\frac{y}{x}}+x^{4}y^{2}}{x^{5}y}
integral de (x^2-7x+5)	\int\:(x^{2}-7x+5)dx
derivada de (4-2x-x^3/(3x-x^4))	\frac{d}{dx}(\frac{4-2x-x^{3}}{3x-x^{4}})
volumenabout y=0,y=9-x^2,y=0	volumeabout\:y=0,y=9-x^{2},y=0
tangent f(x)= 1/(x^4),(3, 1/81)	tangent\:f(x)=\frac{1}{x^{4}},(3,\frac{1}{81})
integral de (4/(x^3)+2)/(1/(x^2)-x)	\int\:\frac{\frac{4}{x^{3}}+2}{\frac{1}{x^{2}}-x}dx
(dy)/(dx)+2y=1	\frac{dy}{dx}+2y=1
derivative f(x)=6xarcsin(x)	derivative\:f(x)=6x\arcsin(x)
(\partial)/(\partial x)(arcsin(4xyz))	\frac{\partial\:}{\partial\:x}(\arcsin(4xyz))
tangent f(x)=sqrt(18x+18),(1,6)	tangent\:f(x)=\sqrt{18x+18},(1,6)
(2xy+2y^2)dx+(x^2+4xy)dy=0	(2xy+2y^{2})dx+(x^{2}+4xy)dy=0
derivative x^3(x-2)^2	derivative\:x^{3}(x-2)^{2}
integral de 27x^2	\int\:27x^{2}dx
integral de 6\sqrt[4]{x}	\int\:6\sqrt[4]{x}dx
derivada de (4x/(9-cot(x)))	\frac{d}{dx}(\frac{4x}{9-\cot(x)})
integral de-pi/4 a 0 de 4sec^3(x)	\int\:_{-\frac{π}{4}}^{0}4\sec^{3}(x)dx
(\partial)/(\partial x)(2x^2+{Y}(x)(x)^2)	\frac{\partial\:}{\partial\:x}(2x^{2}+{Y}(x)(x)^{2})
integral de (2sqrt(x))/x	\int\:\frac{2\sqrt{x}}{x}dx
integral de (x+1)/(x^2-3x+2)	\int\:\frac{x+1}{x^{2}-3x+2}dx
tangent x-2x^2	tangent\:x-2x^{2}
(d^3)/(dx^3)(e^{5x-4})	\frac{d^{3}}{dx^{3}}(e^{5x-4})
serie de n=1 a infinity de (n!)/(90^n)	\sum\:_{n=1}^{\infty\:}\frac{n!}{90^{n}}
límite cuando x tiende a 2 de 2x^3-x^2+7x-3	\lim\:_{x\to\:2}(2x^{3}-x^{2}+7x-3)
derivada de 2tan(xsec(x))	\frac{d}{dx}(2\tan(x)\sec(x))
derivada de sqrt(-3x)	\frac{d}{dx}(\sqrt{-3x})
d/(dt)(t^3+1)	\frac{d}{dt}(t^{3}+1)
integral de x+e^z	\int\:x+e^{z}dx
límite cuando x tiende a 3 de (x-1)^2(x+1)	\lim\:_{x\to\:3}((x-1)^{2}(x+1))
derivada de (1+sin(x)/(x+cos(x)))	\frac{d}{dx}(\frac{1+\sin(x)}{x+\cos(x)})
(\partial)/(\partial x)(sin(pi(x-2y)))	\frac{\partial\:}{\partial\:x}(\sin(π(x-2y)))
derivada de e^{-x}-ln(x)	\frac{d}{dx}(e^{-x}-\ln(x))
y^'=e^{3x-7y}	y^{\prime\:}=e^{3x-7y}
derivada de (e^x+e^{-x}/9)	\frac{d}{dx}(\frac{e^{x}+e^{-x}}{9})
implicit x^{2/3}+y^{2/3}=4	implicit\:x^{\frac{2}{3}}+y^{\frac{2}{3}}=4
integral de (x^2+x)	\int\:(x^{2}+x)dx
(\partial)/(\partial t)(sqrt(t))	\frac{\partial\:}{\partial\:t}(\sqrt{t})
(\partial)/(\partial x)(ln(y-x))	\frac{\partial\:}{\partial\:x}(\ln(y-x))
derivada de (x^6/(2-x^5))	\frac{d}{dx}(\frac{x^{6}}{2-x^{5}})
derivada de (2.5^x)	\frac{d}{dx}((2.5)^{x})
derivative y=4xe^{-kx}	derivative\:y=4xe^{-kx}
integral de (sqrt(64-x^2))/x	\int\:\frac{\sqrt{64-x^{2}}}{x}dx
tangent f(x)=2x^2-3x,\at x=2	tangent\:f(x)=2x^{2}-3x,\at\:x=2
derivada de x^3-3x+5	\frac{d}{dx}(x^{3}-3x+5)
serie de n=1 a infinity de e^{-3/(n^2)}	\sum\:_{n=1}^{\infty\:}e^{-\frac{3}{n^{2}}}
integral de 1 a infinity de 3/(x^2+1)	\int\:_{1}^{\infty\:}\frac{3}{x^{2}+1}dx
integral de ((2x+1))/x	\int\:\frac{(2x+1)}{x}dx
serie de n=8 a infinity de (7/8)^{-n}	\sum\:_{n=8}^{\infty\:}(\frac{7}{8})^{-n}
(\partial)/(\partial z)(x^3+yz^2)	\frac{\partial\:}{\partial\:z}(x^{3}+yz^{2})
(\partial)/(\partial x)(cos(x/(1+y)))	\frac{\partial\:}{\partial\:x}(\cos(\frac{x}{1+y}))
integral de sqrt(x^2-6x+34)	\int\:\sqrt{x^{2}-6x+34}dx
límite cuando x tiende a 2+de intx	\lim\:_{x\to\:2+}(intx)
d/(dθ)(sin^2(θ))	\frac{d}{dθ}(\sin^{2}(θ))
y^{''}+49y=3tan(7x)	y^{\prime\:\prime\:}+49y=3\tan(7x)
tangent f(x)=sqrt(2x+7),\at x=9	tangent\:f(x)=\sqrt{2x+7},\at\:x=9
y^'+0.7y-18.2=0	y^{\prime\:}+0.7y-18.2=0
integral de (4x-11)/(x^2-3x-4)	\int\:\frac{4x-11}{x^{2}-3x-4}dx
derivada de e^xcos(3x)	\frac{d}{dx}(e^{x}\cos(3x))
límite cuando x tiende a 5-de (x-6)/(x-5)	\lim\:_{x\to\:5-}(\frac{x-6}{x-5})
maclaurin e^{-5x}	maclaurin\:e^{-5x}
3y^'-6y=12	3y^{\prime\:}-6y=12
integral de cos^4(3x)sin(3x)	\int\:\cos^{4}(3x)\sin(3x)dx
t(d^2y)/(dt^2)+4(dy)/(dt)=t^2	t\frac{d^{2}y}{dt^{2}}+4\frac{dy}{dt}=t^{2}
tangent y=-3/2 x^2+9x+9,(-1,-3/2)	tangent\:y=-\frac{3}{2}x^{2}+9x+9,(-1,-\frac{3}{2})
integral de sqrt(7-x^2)	\int\:\sqrt{7-x^{2}}dx
límite cuando x tiende a-2 de (2x)/(2x+2)	\lim\:_{x\to\:-2}(\frac{2x}{2x+2})
derivada de (1+(1+(1+x^3^4)^5)^6)	\frac{d}{dx}((1+(1+(1+x^{3})^{4})^{5})^{6})
2tx^{''}-x^'+(1/(x^'))=0	2tx^{\prime\:\prime\:}-x^{\prime\:}+(\frac{1}{x^{\prime\:}})=0
integral de 5xsin(x)cos(x)	\int\:5x\sin(x)\cos(x)dx
d/(dθ)({r}(θ)cos(θ))	\frac{d}{dθ}({r}(θ)\cos(θ))
integral de x^{-2}(4x^{-1}+3)^{3/4}	\int\:x^{-2}(4x^{-1}+3)^{\frac{3}{4}}dx
10^'	10^{\prime\:}
2xy^2+x^2(dy)/(dx)=y^2	2xy^{2}+x^{2}\frac{dy}{dx}=y^{2}
integral de e^{-θ}cos(3θ)	\int\:e^{-θ}\cos(3θ)dθ
integral de (x^2)/((x-1)(x^2-1))	\int\:\frac{x^{2}}{(x-1)(x^{2}-1)}dx
(\partial)/(\partial z)(sqrt(x^2+y^2)-z)	\frac{\partial\:}{\partial\:z}(\sqrt{x^{2}+y^{2}}-z)
integral de sin(x)sin(6x)	\int\:\sin(x)\sin(6x)dx
derivative 1/(3x^{2/3)}	derivative\:\frac{1}{3x^{\frac{2}{3}}}
derivada de (sqrt(x)+1/(sqrt(x)+2))	\frac{d}{dx}(\frac{\sqrt{x}+1}{\sqrt{x}+2})
integral de-32 a 8 de 1/(sqrt(\|2x\|))	\int\:_{-32}^{8}\frac{1}{\sqrt{\left\|2x\right\|}}dx
derivative 63cos(7x)	derivative\:63\cos(7x)
área 1/4 x^2-1,y=8,y=2	area\:\frac{1}{4}x^{2}-1,y=8,y=2
integral de 0 a pi de 2sin^4(3t)	\int\:_{0}^{π}2\sin^{4}(3t)dt
y^{''}-5y^'+4y=0,y(0)=1,y^'(0)= 1/4	y^{\prime\:\prime\:}-5y^{\prime\:}+4y=0,y(0)=1,y^{\prime\:}(0)=\frac{1}{4}

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