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(\partial)/(\partial x)(x^4-x^3y+xy^3-y^4)	\frac{\partial\:}{\partial\:x}(x^{4}-x^{3}y+xy^{3}-y^{4})
límite cuando x tiende a 0 de 1/x+1/(\|x\|)	\lim\:_{x\to\:0}(\frac{1}{x}+\frac{1}{\left\|x\right\|})
derivative y=(x^6)/6+1/(16x^4)	derivative\:y=\frac{x^{6}}{6}+\frac{1}{16x^{4}}
integral de-1 a 1 de (x^2)/(1+x^6)	\int\:_{-1}^{1}\frac{x^{2}}{1+x^{6}}dx
derivative (cos(x))/(e^x)	derivative\:\frac{\cos(x)}{e^{x}}
integral de (7x^2-4x)e^{2x}	\int\:(7x^{2}-4x)e^{2x}dx
límite cuando x tiende a 1 de ((x^5-1))/(x^3-1)	\lim\:_{x\to\:1}(\frac{(x^{5}-1)}{x^{3}-1})
tangent-0.025x^2+4x	tangent\:-0.025x^{2}+4x
(\partial)/(\partial x)(y^2sin(xy))	\frac{\partial\:}{\partial\:x}(y^{2}\sin(xy))
integral de (5^{3x}+cosh(x))	\int\:(5^{3x}+\cosh(x))dx
límite cuando x tiende a 3 de 2^x	\lim\:_{x\to\:3}(2^{x})
integral de tan^5(x)sec^9(x)	\int\:\tan^{5}(x)\sec^{9}(x)dx
integral de (8x^2+9x+8)/((x^2+1)^2)	\int\:\frac{8x^{2}+9x+8}{(x^{2}+1)^{2}}dx
serie de n=0 a infinity de (3/7)^n	\sum\:_{n=0}^{\infty\:}(\frac{3}{7})^{n}
(dy)/(dx)=9x^3	\frac{dy}{dx}=9x^{3}
derivada de cot(pix*sec(pi)x)	\frac{d}{dx}(\cot(π)x\cdot\:\sec(π)x)
derivative 5x+6	derivative\:5x+6
derivative f(x)=ln(x+sqrt(x^2-12))	derivative\:f(x)=\ln(x+\sqrt{x^{2}-12})
tangent y=(-2x)/((x^2+1))	tangent\:y=\frac{-2x}{(x^{2}+1)}
límite cuando x tiende a 0 de x/0	\lim\:_{x\to\:0}(\frac{x}{0})
límite cuando x tiende a-2 de x^2+3x-7	\lim\:_{x\to\:-2}(x^{2}+3x-7)
(\partial)/(\partial x)(-xyz^2+1)	\frac{\partial\:}{\partial\:x}(-xyz^{2}+1)
f(x)=-e^xx+3e^x	f(x)=-e^{x}x+3e^{x}
integral de (-1)/4 e^{-4x}3x^2	\int\:\frac{-1}{4}e^{-4x}3x^{2}dx
integral de 15(x+2)^4	\int\:15(x+2)^{4}dx
y^'=y(1-y),y(0)=-5	y^{\prime\:}=y(1-y),y(0)=-5
serie de n=0 a infinity de 1/((1+n)^2)	\sum\:_{n=0}^{\infty\:}\frac{1}{(1+n)^{2}}
derivada de 3cos(3x)	\frac{d}{dx}(3\cos(3x))
derivative 4x^{5/4}+10x^{3/2}+5x	derivative\:4x^{\frac{5}{4}}+10x^{\frac{3}{2}}+5x
pendiente (1,-2),(3,1)	slope\:(1,-2),(3,1)
y^{''}+36y=-60sin(6t)	y^{\prime\:\prime\:}+36y=-60\sin(6t)
(dy)/(dt)=-2(1+y^2)tan(2t)	\frac{dy}{dt}=-2(1+y^{2})\tan(2t)
derivada de ((sqrt(x)-7)/(sqrt(x)+7))	\frac{d}{dx}(\frac{(\sqrt{x}-7)}{\sqrt{x}+7})
integral de e^{2x}sin(3x)	\int\:e^{2x}\sin(3x)dx
integral de 1 a 12 de 1/(x-9)	\int\:_{1}^{12}\frac{1}{x-9}dx
serie de n=1 a infinity de 1/(n+4)	\sum\:_{n=1}^{\infty\:}\frac{1}{n+4}
(\partial)/(\partial x)(x*e^x+ln(x)y)	\frac{\partial\:}{\partial\:x}(x\cdot\:e^{x}+\ln(x)y)
integral de-7ln(x^2-1)	\int\:-7\ln(x^{2}-1)dx
serie de n=2 a infinity de 1/(n(n-1))	\sum\:_{n=2}^{\infty\:}\frac{1}{n(n-1)}
implicit (dy)/(dx),4y^2-5y+8=2x^2-3x	implicit\:\frac{dy}{dx},4y^{2}-5y+8=2x^{2}-3x
integral de 2x(1+x^2)^2	\int\:2x(1+x^{2})^{2}dx
y^{''}-4y^'+4y=2e^{2x}	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=2e^{2x}
derivada de 5e^{-x}+e^{3x}	\frac{d}{dx}(5e^{-x}+e^{3x})
derivada de ln(x/(1+x^2))	\frac{d}{dx}(\ln(\frac{x}{1+x^{2}}))
integral de (2x)/((1+x^2)^2)	\int\:\frac{2x}{(1+x^{2})^{2}}dx
área y=14x,y=x^2	area\:y=14x,y=x^{2}
derivative 4x^{2/3}	derivative\:4x^{\frac{2}{3}}
integral de 6cos^5(x)sin^4(x)	\int\:6\cos^{5}(x)\sin^{4}(x)dx
área x^{1/2},x=9	area\:x^{\frac{1}{2}},x=9
(\partial)/(\partial x)(bxe^{2xy})	\frac{\partial\:}{\partial\:x}(bxe^{2xy})
integral de sqrt(4x^2+9x^4)	\int\:\sqrt{4x^{2}+9x^{4}}dx
derivada de 10^{nx}	\frac{d}{dx}(10^{nx})
derivative f(x)=(14)/((x+4)^3)	derivative\:f(x)=\frac{14}{(x+4)^{3}}
(dy}{dx}=\frac{cos(x))/y	\frac{dy}{dx}=\frac{\cos(x)}{y}
serie de n=1 a infinity de (5n)/(2n-1)	\sum\:_{n=1}^{\infty\:}\frac{5n}{2n-1}
integral de tk	\int\:tkdt
integral de 0 a 1 de x-1	\int\:_{0}^{1}x-1dx
derivative 8/(sqrt(x))	derivative\:\frac{8}{\sqrt{x}}
integral de (x^5+4)^{12}x^4	\int\:(x^{5}+4)^{12}x^{4}dx
integral de (x^2+1)/((x-2)^3)	\int\:\frac{x^{2}+1}{(x-2)^{3}}dx
integral de (x+2)/(x^2)	\int\:\frac{x+2}{x^{2}}dx
área 2^x,-4,4	area\:2^{x},-4,4
integral de (3^x)/(3-3^x)	\int\:\frac{3^{x}}{3-3^{x}}dx
derivada de (ln(x)/(sin(x)))	\frac{d}{dx}(\frac{\ln(x)}{\sin(x)})
integral de 1/((2-3x))	\int\:\frac{1}{(2-3x)}dx
integral de 7/(x^2)	\int\:\frac{7}{x^{2}}dx
integral de 20x^3	\int\:20x^{3}dx
(dQ)/(dt)=0.03(1-Q)^{2/3}	\frac{dQ}{dt}=0.03(1-Q)^{\frac{2}{3}}
serie de n=1 a infinity}(e^{npi de)/(pi^{ne)}	\sum\:_{n=1}^{\infty\:}\frac{e^{nπ}}{π^{ne}}
y^{''}-3y^'-54y=0	y^{\prime\:\prime\:}-3y^{\prime\:}-54y=0
derivada de x^{8cos(x})	\frac{d}{dx}(x^{8\cos(x)})
integral de-x/(1-x)	\int\:-\frac{x}{1-x}dx
tangent y=-x^3+9x^2-6x+9,(7,65)	tangent\:y=-x^{3}+9x^{2}-6x+9,(7,65)
y^'=(4x^3+1)/(2y-6)	y^{\prime\:}=\frac{4x^{3}+1}{2y-6}
d/(dt)((tsin(t))/(1+t))	\frac{d}{dt}(\frac{t\sin(t)}{1+t})
integral de 0.1x^2	\int\:0.1x^{2}dx
integral de 6/(x^2-x-2)	\int\:\frac{6}{x^{2}-x-2}dx
y^'(1-xy^{1985})=y^{1986}	y^{\prime\:}(1-xy^{1985})=y^{1986}
integral de (5x^3-3sqrt(x))/x	\int\:\frac{5x^{3}-3\sqrt{x}}{x}dx
integral de 2sqrt(2) a 4 de 1/(t^3sqrt(t^2-4))	\int\:_{2\sqrt{2}}^{4}\frac{1}{t^{3}\sqrt{t^{2}-4}}dt
y^'+ycos(x)=0	y^{\prime\:}+y\cos(x)=0
taylor sqrt(x+1)	taylor\:\sqrt{x+1}
integral de 1 a 2 de (x^2+8)/(3x-x^2)	\int\:_{1}^{2}\frac{x^{2}+8}{3x-x^{2}}dx
derivada de (x^2/(sqrt(x^2-1)))	\frac{d}{dx}(\frac{x^{2}}{\sqrt{x^{2}-1}})
derivative (7+2x)/(5-8x)	derivative\:\frac{7+2x}{5-8x}
(\partial)/(\partial x)(1/(tan(xy)))	\frac{\partial\:}{\partial\:x}(\frac{1}{\tan(xy)})
(dy)/(dx)=(x+y+2)^2	\frac{dy}{dx}=(x+y+2)^{2}
(\partial)/(\partial x)(e^{-2x}*cos(2y))	\frac{\partial\:}{\partial\:x}(e^{-2x}\cdot\:\cos(2y))
integral de (5x-3)/(x^2-1)	\int\:\frac{5x-3}{x^{2}-1}dx
tangent y= 6/(sqrt(x))	tangent\:y=\frac{6}{\sqrt{x}}
integral de 7(sin(x))^4(cos(x))^2	\int\:7(\sin(x))^{4}(\cos(x))^{2}dx
x(dy)/(dx)=x^3+14x^3y	x\frac{dy}{dx}=x^{3}+14x^{3}y
integral de cxy+1/4	\int\:cxy+\frac{1}{4}
tangent f(x)=(sqrt(x))/(4x-7),\at x=1	tangent\:f(x)=\frac{\sqrt{x}}{4x-7},\at\:x=1
tangent-5x^2+x-2	tangent\:-5x^{2}+x-2
integral de 0 a 9 de 1/(81+x^2)	\int\:_{0}^{9}\frac{1}{81+x^{2}}dx
y^{''}+4y^'+5y=-20e^t,y(0)=-4,y^'(0)=1	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=-20e^{t},y(0)=-4,y^{\prime\:}(0)=1
integral de 1 a 4 de 6e^{sqrt(x)}	\int\:_{1}^{4}6e^{\sqrt{x}}dx
critical f(x,y)=(x)^2+(y)^4	critical\:f(x,y)=(x)^{2}+(y)^{4}
límite cuando x tiende a 3+de 1/(\|x-3\|)	\lim\:_{x\to\:3+}(\frac{1}{\left\|x-3\right\|})

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