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Problemas populares

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Problemas populares de Cálculo

integral de tan^2(6x)	\int\:\tan^{2}(6x)dx
implicit (dy)/(dx),xy=e^2y	implicit\:\frac{dy}{dx},xy=e^{2}y
derivative (mP)/(P+(m-P)e^{-kmt)}	derivative\:\frac{mP}{P+(m-P)e^{-kmt}}
(d^2)/(dx^2)(3/(4t^5))	\frac{d^{2}}{dx^{2}}(\frac{3}{4t^{5}})
integral de 4/(x^4-1)	\int\:\frac{4}{x^{4}-1}dx
derivada de 6x^4+3	\frac{d}{dx}(6x^{4}+3)
área y=x^3-4x,y=12x	area\:y=x^{3}-4x,y=12x
límite cuando x tiende a-infinity de-4e^x	\lim\:_{x\to\:-\infty\:}(-4e^{x})
tangent y=ln(x^2-3x+1),(3,0)	tangent\:y=\ln(x^{2}-3x+1),(3,0)
y^'=(x-ysin(2x))/(sin^2(x))	y^{\prime\:}=\frac{x-y\sin(2x)}{\sin^{2}(x)}
derivative f(x)=3sin^2(x)	derivative\:f(x)=3\sin^{2}(x)
y^{''}+9y=t^2+cos(3t)	y^{\prime\:\prime\:}+9y=t^{2}+\cos(3t)
inversalaplace (s-5)/(s^2+4s+20)	inverselaplace\:\frac{s-5}{s^{2}+4s+20}
integral de (y^2)/((y+1)^4)	\int\:\frac{y^{2}}{(y+1)^{4}}dy
derivative f(x)=x^3+4e^{-0.5x}	derivative\:f(x)=x^{3}+4e^{-0.5x}
integral de tan^3(2x)sec^2(2x)	\int\:\tan^{3}(2x)\sec^{2}(2x)dx
integral de e^{sqrt(x-1)}	\int\:e^{\sqrt{x-1}}dx
integral de 0 a 1 de (48)/(x^2-64)	\int\:_{0}^{1}\frac{48}{x^{2}-64}dx
pendiente (8.6)(8.1)	slope\:(8.6)(8.1)
integral de 1/(sqrt(25-81x^2))	\int\:\frac{1}{\sqrt{25-81x^{2}}}dx
área e^x,-1,2	area\:e^{x},-1,2
integral de 0 a 1 de (x^2)/(1+x^2)	\int\:_{0}^{1}\frac{x^{2}}{1+x^{2}}dx
derivada de (5-3x/(5+3x))	\frac{d}{dx}(\frac{5-3x}{5+3x})
1(d^2y)/(dx^2)+4(dy)/(dx)+2y=0	1\frac{d^{2}y}{dx^{2}}+4\frac{dy}{dx}+2y=0
integral de 9 a 10 de xsqrt(x-9)	\int\:_{9}^{10}x\sqrt{x-9}dx
integral de e^{x^5}	\int\:e^{x^{5}}dx
derivative y=(2x+5)^5(4x+5)^{-4}	derivative\:y=(2x+5)^{5}(4x+5)^{-4}
(dy}{dx}=\frac{x^6-4y)/x	\frac{dy}{dx}=\frac{x^{6}-4y}{x}
(dy)/(dx)=2x(x-2)	\frac{dy}{dx}=2x(x-2)
(\partial)/(\partial x)(1/(1+e^{-w^Tx)})	\frac{\partial\:}{\partial\:x}(\frac{1}{1+e^{-w^{T}x}})
derivada de (2x/(sqrt(sec(x))))	\frac{d}{dx}(\frac{2x}{\sqrt{\sec(x)}})
derivada de Ae^x+Bxe^x	\frac{d}{dx}(Ae^{x}+Bxe^{x})
límite cuando x tiende a-3+de x+1	\lim\:_{x\to\:-3+}(x+1)
integral de-1 a 0.5 de 1.5x^2	\int\:_{-1}^{0.5}1.5x^{2}dx
integral de (x^3-4x-10)/(x^3-3x^2-4x+12)	\int\:\frac{x^{3}-4x-10}{x^{3}-3x^{2}-4x+12}dx
(x^2-1)^'	(x^{2}-1)^{\prime\:}
integral de x/(sqrt(2x^2-1))	\int\:\frac{x}{\sqrt{2x^{2}-1}}dx
(dy)/(dx)-(4/x)y=x^5e^x	\frac{dy}{dx}-(\frac{4}{x})y=x^{5}e^{x}
límite cuando x tiende a sqrt(2) de (x^2-2}{\frac{5x)/7-(5sqrt(2))/7}	\lim\:_{x\to\:\sqrt{2}}(\frac{x^{2}-2}{\frac{5x}{7}-\frac{5\sqrt{2}}{7}})
(d^2)/(dx^2)((x^2+5)^5)	\frac{d^{2}}{dx^{2}}((x^{2}+5)^{5})
derivada de (x-5/(x^2))	\frac{d}{dx}(\frac{x-5}{x^{2}})
límite cuando x tiende a 6-de cx^2+3x	\lim\:_{x\to\:6-}(cx^{2}+3x)
laplacetransformación 2y	laplacetransform\:2y
derivative (x^2)/(1+x^2)	derivative\:\frac{x^{2}}{1+x^{2}}
1/(x^7)y^'=15+12y	\frac{1}{x^{7}}y^{\prime\:}=15+12y
límite cuando x tiende a 2 de (x-2)/(x-1)	\lim\:_{x\to\:2}(\frac{x-2}{x-1})
derivada de ln(1+3/x)	\frac{d}{dx}(\ln(1+\frac{3}{x}))
(x^2+1)y^'=-4x(y-1),y(0)=8	(x^{2}+1)y^{\prime\:}=-4x(y-1),y(0)=8
integral de 4e^5	\int\:4e^{5}dx
límite cuando x tiende a 0 de (e^{1/x})/x	\lim\:_{x\to\:0}(\frac{e^{\frac{1}{x}}}{x})
t^2y^'-t=1+y+ty	t^{2}y^{\prime\:}-t=1+y+ty
integral de (x+5)/(x^2+4x+8)	\int\:\frac{x+5}{x^{2}+4x+8}dx
derivative f(x)=e^{3sqrt(x)}	derivative\:f(x)=e^{3\sqrt{x}}
(tdy)/(dt)=y+5t^2sin(t)	\frac{tdy}{dt}=y+5t^{2}\sin(t)
derivada de (x-2^3(x^2+9)^4)	\frac{d}{dx}((x-2)^{3}(x^{2}+9)^{4})
derivada de (3a^2/(x^2)-a/(3x^4))	\frac{d}{dx}(\frac{3a^{2}}{x^{2}}-\frac{a}{3x^{4}})
derivative f(x)=sqrt(24x)	derivative\:f(x)=\sqrt{24x}
derivada de-(10/(x^{11)})	\frac{d}{dx}(-\frac{10}{x^{11}})
integral de sqrt(e^x+1)	\int\:\sqrt{e^{x}+1}dx
(\partial)/(\partial y)(ln(x)+ln(y))	\frac{\partial\:}{\partial\:y}(\ln(x)+\ln(y))
derivada de 3/((1-x^4))	\frac{d}{dx}(\frac{3}{(1-x)^{4}})
integral de x/(x+7)	\int\:\frac{x}{x+7}dx
(\partial)/(\partial y)((x+y)^8)	\frac{\partial\:}{\partial\:y}((x+y)^{8})
(\partial)/(\partial y)(x^2y+y^3)	\frac{\partial\:}{\partial\:y}(x^{2}y+y^{3})
límite cuando x tiende a 2 de x^2+x-2	\lim\:_{x\to\:2}(x^{2}+x-2)
integral de 0 a 1 de r^3	\int\:_{0}^{1}r^{3}dr
(\partial)/(\partial x)((x^2+y^2)e^{x^2y})	\frac{\partial\:}{\partial\:x}((x^{2}+y^{2})e^{x^{2}y})
derivative sqrt(x/((x^2-1)))	derivative\:\sqrt{\frac{x}{(x^{2}-1)}}
integral de sin(x)e^{2x}	\int\:\sin(x)e^{2x}dx
tangent f(x)=sqrt(x),(25,5)	tangent\:f(x)=\sqrt{x},(25,5)
integral de (u-2)^3ln(u-2)	\int\:(u-2)^{3}\ln(u-2)du
derivada de (x+7/(sqrt(x)))	\frac{d}{dx}(\frac{x+7}{\sqrt{x}})
integral de 1/(sqrt(1-x^2)arcsin(x))	\int\:\frac{1}{\sqrt{1-x^{2}}\arcsin(x)}dx
(\partial)/(\partial y)(x^2+yz)	\frac{\partial\:}{\partial\:y}(x^{2}+yz)
derivada de ln(h+1/(2ax^2+b))	\frac{d}{dx}(\ln(h+\frac{1}{2ax^{2}}+b))
límite cuando x tiende a 0 de (1-cos(5x))/(sin(3x))	\lim\:_{x\to\:0}(\frac{1-\cos(5x)}{\sin(3x)})
3(dr)/(ds)=e^{r-2s}	3\frac{dr}{ds}=e^{r-2s}
límite cuando (x,y) tiende a (4,2) de 6x+3y	\lim\:_{(x,y)\to\:(4,2)}(6x+3y)
derivative f(x)=e^{2x}-6e^x+3	derivative\:f(x)=e^{2x}-6e^{x}+3
derivada de y-sin(x)	\frac{d}{dx}(y-\sin(x))
integral de-8 a 8 de xsqrt(64-x^2)	\int\:_{-8}^{8}x\sqrt{64-x^{2}}dx
integral de sin(4t)sin(2t)	\int\:\sin(4t)\sin(2t)dt
integral de (2x-3)/(x^3+3x)	\int\:\frac{2x-3}{x^{3}+3x}dx
maclaurin te^{6t}	maclaurin\:te^{6t}
derivada de 8x^2+14xy+5y^2	\frac{d}{dx}(8x^{2}+14xy+5y^{2})
pendiente (9,7),(6,-2)	slope\:(9,7),(6,-2)
derivative (3x^4+6)/(x^2)	derivative\:\frac{3x^{4}+6}{x^{2}}
derivative y=e^6	derivative\:y=e^{6}
integral de (2/(x^2+1))	\int\:(\frac{2}{x^{2}+1})dx
(\partial)/(\partial x)(-t+x)	\frac{\partial\:}{\partial\:x}(-t+x)
integral de-pi/3 a pi/3 de 1	\int\:_{-\frac{π}{3}}^{\frac{π}{3}}1
derivative x^{5/8}	derivative\:x^{\frac{5}{8}}
límite cuando x tiende a-1 de (x+2x^4)^5	\lim\:_{x\to\:-1}((x+2x^{4})^{5})
ty^'=2y-3t^3cos(4t)	ty^{\prime\:}=2y-3t^{3}\cos(4t)
integral de 5/(2+5x)	\int\:\frac{5}{2+5x}dx
(\partial)/(\partial y)(e^{x^4}-y)	\frac{\partial\:}{\partial\:y}(e^{x^{4}}-y)
derivada de (sin(5x)^2)	\frac{d}{dx}((\sin(5x))^{2})
derivada de 1/(xsqrt(ln(x)))	\frac{d}{dx}(\frac{1}{x\sqrt{\ln(x)}})
límite cuando x tiende a 0-de 1+xe^x	\lim\:_{x\to\:0-}(1+xe^{x})
límite cuando x tiende a-1 de (3x)/(x^2+1)	\lim\:_{x\to\:-1}(\frac{3x}{x^{2}+1})

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