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Problemas populares Cálculo

(\partial)/(\partial x)(e^{-ax})	\frac{\partial\:}{\partial\:x}(e^{-ax})
(\partial)/(\partial x)(3e^{5x})	\frac{\partial\:}{\partial\:x}(3e^{5x})
y^{''}-2y+y=12e^{3t}	y^{\prime\:\prime\:}-2y+y=12e^{3t}
serie de n=0 a infinity de 1/(2n+2)	\sum\:_{n=0}^{\infty\:}\frac{1}{2n+2}
(2+x)y^'=9y	(2+x)y^{\prime\:}=9y
tangent f(x)=sqrt(3x+55),\at x=3	tangent\:f(x)=\sqrt{3x+55},\at\:x=3
límite cuando x tiende a+2 de (g(x))/(h(x))	\lim\:_{x\to\:+2}(\frac{g(x)}{h(x)})
integral de tan^2(x)sec^2(x)sin(x)	\int\:\tan^{2}(x)\sec^{2}(x)\sin(x)dx
(\partial)/(\partial x)(xe^{2x}cos(3x))	\frac{\partial\:}{\partial\:x}(xe^{2x}\cos(3x))
integral de e^xsin(e^x)	\int\:e^{x}\sin(e^{x})dx
derivada de 2x^2cos(4x)	\frac{d}{dx}(2x^{2}\cos(4x))
límite cuando x tiende a-1 de (2x+1)/(x-2)	\lim\:_{x\to\:-1}(\frac{2x+1}{x-2})
tangent x^2+3x,\at x=0	tangent\:x^{2}+3x,\at\:x=0
integral de-5ln(x^2-1)	\int\:-5\ln(x^{2}-1)dx
derivative f(x)=(2x^2+3)^3(x^2-4)^2	derivative\:f(x)=(2x^{2}+3)^{3}(x^{2}-4)^{2}
d/(dv)(ln(ucos(v)))	\frac{d}{dv}(\ln(u\cos(v)))
integral de 9t^2	\int\:9t^{2}dt
derivada de ((x^2-1/(x^2+1))^2)	\frac{d}{dx}((\frac{x^{2}-1}{x^{2}+1})^{2})
d/(d{x)}({x}^{({y})/({z)}})	\frac{d}{d{x}}({x}^{\frac{{y}}{{z}}})
integral de 7xe^{-x(y+7)}	\int\:7xe^{-x(y+7)}dx
derivative f(x)=ln(xsqrt(x^2+1))	derivative\:f(x)=\ln(x\sqrt{x^{2}+1})
f(x)=3sqrt(x)-6x	f(x)=3\sqrt{x}-6x
integral de 1 a x de 1/x	\int\:_{1}^{x}\frac{1}{x}dx
integral de 4sin^2(pix)cos^5(pix)	\int\:4\sin^{2}(πx)\cos^{5}(πx)dx
integral de 0 a 1 de x*e^{x^2}	\int\:_{0}^{1}x\cdot\:e^{x^{2}}dx
integral de 0 a 1 de (2x^2-1)	\int\:_{0}^{1}(2x^{2}-1)dx
(sin(x)-ysin(x)-2cos(x))+cos(x)y^'=0	(\sin(x)-y\sin(x)-2\cos(x))+\cos(x)y^{\prime\:}=0
derivada de (e^{4x}/(ln(6x)))	\frac{d}{dx}(\frac{e^{4x}}{\ln(6x)})
integral de (2x)/(e^x)	\int\:\frac{2x}{e^{x}}dx
derivada de 36x^2	\frac{d}{dx}(36x^{2})
integral de 2x(\sqrt[3]{(x+3)})	\int\:2x(\sqrt[3]{(x+3)})dx
5y^{''}+60y=0	5y^{\prime\:\prime\:}+60y=0
integral de 0 a 1/2 de 4/(1+4t^2)	\int\:_{0}^{\frac{1}{2}}\frac{4}{1+4t^{2}}dt
derivative ln(x^2-8x+1)	derivative\:\ln(x^{2}-8x+1)
integral de 0 a 1 de x/((x+1)^2)	\int\:_{0}^{1}\frac{x}{(x+1)^{2}}dx
límite cuando x tiende a-1 de x(-1)	\lim\:_{x\to\:-1}(x(-1))
integral de sin^6(x)cos^4(x)	\int\:\sin^{6}(x)\cos^{4}(x)dx
integral de (5x^2+1)e^{(5/3 x^3+x)}	\int\:(5x^{2}+1)e^{(\frac{5}{3}x^{3}+x)}dx
integral de sqrt(5x^2-4)	\int\:\sqrt{5x^{2}-4}dx
(d^2}{dx^2}(e^{\frac{-x^2)/2})	\frac{d^{2}}{dx^{2}}(e^{\frac{-x^{2}}{2}})
tangent y=7x-6sqrt(x),(1,1)	tangent\:y=7x-6\sqrt{x},(1,1)
y^{''}+9y^'-10y=0	y^{\prime\:\prime\:}+9y^{\prime\:}-10y=0
(dy)/(dx)=2+sqrt(y-2x+3)	\frac{dy}{dx}=2+\sqrt{y-2x+3}
integral de (x^3)/((x^2+16)^3)	\int\:\frac{x^{3}}{(x^{2}+16)^{3}}dx
(-xy^2-y)dx+(-x^2y-x)dy=0	(-xy^{2}-y)dx+(-x^{2}y-x)dy=0
integral de 0 a 4 de x^2-3x	\int\:_{0}^{4}x^{2}-3xdx
(\partial)/(\partial x)(15x^2+10y)	\frac{\partial\:}{\partial\:x}(15x^{2}+10y)
integral de 3 a 5 de (x^3)/8	\int\:_{3}^{5}\frac{x^{3}}{8}dx
integral de 0 a 2pi de sin(2x)sin(x)	\int\:_{0}^{2π}\sin(2x)\sin(x)dx
serie de n=0 a infinity de ((-1)/2)^n	\sum\:_{n=0}^{\infty\:}(\frac{-1}{2})^{n}
tangent f(x)=4x(x^2-4x+5)^9,\at x=2	tangent\:f(x)=4x(x^{2}-4x+5)^{9},\at\:x=2
derivada de 9e^{-4x}	\frac{d}{dx}(9e^{-4x})
y^3(dy)/(dx)+x^3=0	y^{3}\frac{dy}{dx}+x^{3}=0
(\partial)/(\partial y)(x^2-4xy-2y^2)	\frac{\partial\:}{\partial\:y}(x^{2}-4xy-2y^{2})
integral de (3x^2-6x+3)	\int\:(3x^{2}-6x+3)dx
integral de 0 a 1/4 de 5arcsin(4x)	\int\:_{0}^{\frac{1}{4}}5\arcsin(4x)dx
integral de (6x^3+5x^2-47x-36)/(x^2-9)	\int\:\frac{6x^{3}+5x^{2}-47x-36}{x^{2}-9}dx
taylor sqrt(10-x),1	taylor\:\sqrt{10-x},1
límite cuando x tiende a-infinity de x^4	\lim\:_{x\to\:-\infty\:}(x^{4})
tangent f(x)=4x^3+3x,\at x=-4,-1	tangent\:f(x)=4x^{3}+3x,\at\:x=-4,-1
y^'+y/t =6cos(5t)	y^{\prime\:}+\frac{y}{t}=6\cos(5t)
integral de x^2(x^3+8)^{11}	\int\:x^{2}(x^{3}+8)^{11}dx
límite cuando x tiende a 0 de 2x^2-3	\lim\:_{x\to\:0}(2x^{2}-3)
integral de 6 a 12 de 6e^x	\int\:_{6}^{12}6e^{x}dx
y^'=(e^{t-y})/(1+e^t)	y^{\prime\:}=\frac{e^{t-y}}{1+e^{t}}
límite cuando x tiende a infinity de e^{-pi}	\lim\:_{x\to\:\infty\:}(e^{-π})
derivada de (3-x^2/(2x+2))	\frac{d}{dx}(\frac{3-x^{2}}{2x+2})
derivada de (\sqrt[3]{x}/(x^2))	\frac{d}{dx}(\frac{\sqrt[3]{x}}{x^{2}})
integral de x^2e^{-x/4}	\int\:x^{2}e^{-\frac{x}{4}}dx
derivada de cos^2(8x)	\frac{d}{dx}(\cos^{2}(8x))
derivative (5x+3)^{1/5}	derivative\:(5x+3)^{\frac{1}{5}}
derivative f(x)=-3/(x^2)	derivative\:f(x)=-\frac{3}{x^{2}}
integral de 14cos(x)	\int\:14\cos(x)dx
x^'+4x=0	x^{\prime\:}+4x=0
derivative y=108-90e^{-0.4t}	derivative\:y=108-90e^{-0.4t}
f(x)=x^2e^x-2xe^x+8e^x	f(x)=x^{2}e^{x}-2xe^{x}+8e^{x}
límite cuando h tiende a 0 de ((1+h)-(1))/h	\lim\:_{h\to\:0}(\frac{(1+h)-(1)}{h})
(dy)/(dx)=-y-8	\frac{dy}{dx}=-y-8
derivative g(x)=7e^xsqrt(x)	derivative\:g(x)=7e^{x}\sqrt{x}
derivative sin(x^2+4)	derivative\:\sin(x^{2}+4)
serie de n=1 a infinity de (x^n)/(14^n)	\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{14^{n}}
integral de 5x-2	\int\:5x-2dx
límite cuando x tiende a-infinity de ((-x+sqrt(x^2-8)))/(6x-7)	\lim\:_{x\to\:-\infty\:}(\frac{(-x+\sqrt{x^{2}-8})}{6x-7})
derivative x+2sin(x)	derivative\:x+2\sin(x)
límite cuando x tiende a 0 de 3x	\lim\:_{x\to\:0}(3x)
laplacetransform e^{-2(2t-4)}(1/2 (2t-4)+2)	laplacetransform\:e^{-2(2t-4)}(\frac{1}{2}(2t-4)+2)
integral de-e^ysin(y)cos(y)	\int\:-e^{y}\sin(y)\cos(y)dy
integral de (1/(z^3)-3/(z^2))	\int\:(\frac{1}{z^{3}}-\frac{3}{z^{2}})dz
(\partial)/(\partial y)(x^2+4y^2)	\frac{\partial\:}{\partial\:y}(x^{2}+4y^{2})
(dy)/(dx)=y+e^x	\frac{dy}{dx}=y+e^{x}
integral de sqrt((4-x^2)/(x^2))	\int\:\sqrt{\frac{4-x^{2}}{x^{2}}}dx
integral de 0 a 11 de xsqrt(11-x)	\int\:_{0}^{11}x\sqrt{11-x}dx
límite cuando x tiende a 3 de 5x^3	\lim\:_{x\to\:3}(5x^{3})
límite cuando x tiende a-1 de e^{x+1}	\lim\:_{x\to\:-1}(e^{x+1})
derivative 10x(x^2+6)^4	derivative\:10x(x^{2}+6)^{4}
límite cuando x tiende a 2-de sqrt(x(x-1))	\lim\:_{x\to\:2-}(\sqrt{x(x-1)})
integral de 1/(sqrt(25-x))	\int\:\frac{1}{\sqrt{25-x}}dx
serie de n=1 a infinity de (2x)^n	\sum\:_{n=1}^{\infty\:}(2x)^{n}
(\partial)/(\partial x)(y^2-3x^3)	\frac{\partial\:}{\partial\:x}(y^{2}-3x^{3})
derivative f(x)=-5x	derivative\:f(x)=-5x

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