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(dy)/(dx)= 4/(x^2e^{3y+9)}	\frac{dy}{dx}=\frac{4}{x^{2}e^{3y+9}}
(\partial)/(\partial x)(x^4y^3)	\frac{\partial\:}{\partial\:x}(x^{4}y^{3})
integral de (x/((x^2+y^2)^{3/2)})	\int\:(\frac{x}{(x^{2}+y^{2})^{\frac{3}{2}}})dy
integral de 1 a 5 de 1/((5-x)^{5/2)}	\int\:_{1}^{5}\frac{1}{(5-x)^{\frac{5}{2}}}dx
(\partial)/(\partial x)(y^3-3x^2y)	\frac{\partial\:}{\partial\:x}(y^{3}-3x^{2}y)
f(x)=(4x+5)^3(x^2-6x+5)^4	f(x)=(4x+5)^{3}(x^{2}-6x+5)^{4}
integral de (36)/((1-x^2)^{3/2)}	\int\:\frac{36}{(1-x^{2})^{\frac{3}{2}}}dx
pendiente (-5)(-5.1)	slope\:(-5)(-5.1)
derivada de cos^{7/4}(4x^3)	\frac{d}{dx}(\cos^{\frac{7}{4}}(4x^{3}))
integral de 1 a 8 de sqrt(x+1)	\int\:_{1}^{8}\sqrt{x+1}dx
derivative f(x)=x^{3/2}+sqrt(x+4)	derivative\:f(x)=x^{\frac{3}{2}}+\sqrt{x+4}
tangent xe^x	tangent\:xe^{x}
límite cuando x tiende a 0 de tan(4x)	\lim\:_{x\to\:0}(\tan(4x))
y^{''}-4y^'-5y=0,y(-1)=3,y^'(-1)=9	y^{\prime\:\prime\:}-4y^{\prime\:}-5y=0,y(-1)=3,y^{\prime\:}(-1)=9
derivada de 4e^{4e^x+x}	\frac{d}{dx}(4e^{4e^{x}+x})
derivative f(x)=(-x^2-4)/((x^2-4)^2)	derivative\:f(x)=\frac{-x^{2}-4}{(x^{2}-4)^{2}}
(d^2)/(dx^2)(x^3)	\frac{d^{2}}{dx^{2}}(x^{3})
derivative x^2arctan(x)	derivative\:x^{2}\arctan(x)
integral de 3sin^3(xco)s^5x	\int\:3\sin^{3}(xco)s^{5}xdx
integral de 1/((x^2+4)^3)	\int\:\frac{1}{(x^{2}+4)^{3}}dx
derivada de cos(tan(x)e^{-(x/8)^2})	\frac{d}{dx}(\cos(\tan(x))e^{-(\frac{x}{8})^{2}})
integral de (x^3)/(x^8+1)	\int\:\frac{x^{3}}{x^{8}+1}dx
d/(d{y)}({x}{y}{z}^2)	\frac{d}{d{y}}({x}{y}{z}^{2})
derivative f(w)=((2w^4-5w))/(9w)	derivative\:f(w)=\frac{(2w^{4}-5w)}{9w}
derivada de (x^2-1/(x^2+1))	\frac{d}{dx}(\frac{x^{2}-1}{x^{2}+1})
integral de 2t-4	\int\:2t-4dt
laplacetransform f(t)=2e^{-t}cos(4t)1(t)	laplacetransform\:f(t)=2e^{-t}\cos(4t)1(t)
(dy)/(dx)=(2sqrt(y+1)cos(x))	\frac{dy}{dx}=(2\sqrt{y+1}\cos(x))
integral de-6/(x^4)	\int\:-\frac{6}{x^{4}}dx
integral de 0 a 1 de (x^2+y^2+z^2)	\int\:_{0}^{1}(x^{2}+y^{2}+z^{2})dx
integral de t^2e^{-6t}	\int\:t^{2}e^{-6t}dt
serie de n=1 a infinity de n!	\sum\:_{n=1}^{\infty\:}n!
derivada de 12x^3+6x^2+2x	\frac{d}{dx}(12x^{3}+6x^{2}+2x)
derivative f(x)=sqrt(3x^2+2)	derivative\:f(x)=\sqrt{3x^{2}+2}
inverselaplace 7/(s^4)	inverselaplace\:\frac{7}{s^{4}}
integral de xtan^3(x^2)	\int\:x\tan^{3}(x^{2})dx
y^{''}+6y^'+6y=0	y^{\prime\:\prime\:}+6y^{\prime\:}+6y=0
y^'=2t,y(0)=1	y^{\prime\:}=2t,y(0)=1
integral de (2x)/((x^2+x+1))	\int\:\frac{2x}{(x^{2}+x+1)}dx
y^'=(3x^7e^{y/x}+x^5y^2)/(x^6y)	y^{\prime\:}=\frac{3x^{7}e^{\frac{y}{x}}+x^{5}y^{2}}{x^{6}y}
límite cuando x tiende a 2 de (x-7)/(x+3)	\lim\:_{x\to\:2}(\frac{x-7}{x+3})
integral de 1 a infinity de 1/(x^3-1)	\int\:_{1}^{\infty\:}\frac{1}{x^{3}-1}dx
integral de ysqrt(x+y^2)	\int\:y\sqrt{x+y^{2}}dx
integral de (3sec(x)-cos(x))^2	\int\:(3\sec(x)-\cos(x))^{2}dx
derivative x^2-4x+39	derivative\:x^{2}-4x+39
integral de 1 a 4 de pi(1/x)^2	\int\:_{1}^{4}π(\frac{1}{x})^{2}dx
y^'=3x^2y	y^{\prime\:}=3x^{2}y
límite cuando x tiende a 0+de (ln(x))/(csc(x))	\lim\:_{x\to\:0+}(\frac{\ln(x)}{\csc(x)})
maclaurin f(x)= 1/((1-x)^2)	maclaurin\:f(x)=\frac{1}{(1-x)^{2}}
límite cuando x tiende a 0+de 2(tan(x))^x	\lim\:_{x\to\:0+}(2(\tan(x))^{x})
(dy)/(dx)=((x^2+y^2))/(2xy)	\frac{dy}{dx}=\frac{(x^{2}+y^{2})}{2xy}
y^{''}-y=(e^x)/(e^x+1)	y^{\prime\:\prime\:}-y=\frac{e^{x}}{e^{x}+1}
derivada de ln((x+1/(sqrt(x-2))))	\frac{d}{dx}(\ln(\frac{x+1}{\sqrt{x-2}}))
integral de 1 a infinity de 5/(x^4)	\int\:_{1}^{\infty\:}\frac{5}{x^{4}}dx
integral de (2-x)	\int\:(2-x)dx
límite cuando x tiende a 0+de x^{1/2}	\lim\:_{x\to\:0+}(x^{\frac{1}{2}})
y^'=((x^3+y^3))/(xy^2)	y^{\prime\:}=\frac{(x^{3}+y^{3})}{xy^{2}}
4y^'+ty=7	4y^{\prime\:}+ty=7
(d^2)/(dx^2)(9-x^2)	\frac{d^{2}}{dx^{2}}(9-x^{2})
integral de-x^4	\int\:-x^{4}dx
derivative (3x+1)/(x^2+2x+2)	derivative\:\frac{3x+1}{x^{2}+2x+2}
límite cuando x tiende a 0 de sqrt(x-2)	\lim\:_{x\to\:0}(\sqrt{x-2})
integral de sin(e^{-x})	\int\:\sin(e^{-x})dx
(\partial)/(\partial x)(2x^2+y^2-5y)	\frac{\partial\:}{\partial\:x}(2x^{2}+y^{2}-5y)
derivative e^{-2x}x^3(-x+2)	derivative\:e^{-2x}x^{3}(-x+2)
integral de t^7e^{-t^8}	\int\:t^{7}e^{-t^{8}}dt
límite cuando x tiende a 2 de x/(2-x)	\lim\:_{x\to\:2}(\frac{x}{2-x})
d/(dt)(1-cos(t))	\frac{d}{dt}(1-\cos(t))
(dy)/(dt)+e^ty=-5e^t	\frac{dy}{dt}+e^{t}y=-5e^{t}
integral de x^2ycos(x)+2xysin(x)-y^2e^x	\int\:x^{2}y\cos(x)+2xy\sin(x)-y^{2}e^{x}dx
integral de (1/((25-x^2)^{3/2)})	\int\:(\frac{1}{(25-x^{2})^{\frac{3}{2}}})dx
integral de (5+sqrt(x))/(5-sqrt(x))	\int\:\frac{5+\sqrt{x}}{5-\sqrt{x}}dx
integral de (e^{sqrt(x)}+1)/(sqrt(x))	\int\:\frac{e^{\sqrt{x}}+1}{\sqrt{x}}dx
tangent f(x)= 4/(x+1),\at x=1	tangent\:f(x)=\frac{4}{x+1},\at\:x=1
límite cuando x tiende a 25 de x-25	\lim\:_{x\to\:25}(x-25)
(x+1)dy=(x+6)dx	(x+1)dy=(x+6)dx
(\partial)/(\partial x)(x^2+x)	\frac{\partial\:}{\partial\:x}(x^{2}+x)
y^{''}-2y^'+y=0,y(0)=2,y^'(0)=6	y^{\prime\:\prime\:}-2y^{\prime\:}+y=0,y(0)=2,y^{\prime\:}(0)=6
área y=x^2,y=x^4	area\:y=x^{2},y=x^{4}
integral de (x+4)/(sqrt(x^2+2x+5))	\int\:\frac{x+4}{\sqrt{x^{2}+2x+5}}dx
derivada de (-x^2-7/((x^2-7)^2))	\frac{d}{dx}(\frac{-x^{2}-7}{(x^{2}-7)^{2}})
límite cuando x tiende a 0+de x^{21x}	\lim\:_{x\to\:0+}(x^{21x})
(\partial)/(\partial y)((3y^2-t^2)/(y^5))	\frac{\partial\:}{\partial\:y}(\frac{3y^{2}-t^{2}}{y^{5}})
derivada de (x^2+1^8)	\frac{d}{dx}((x^{2}+1)^{8})
integral de 8e^{3x+e^{3x}}	\int\:8e^{3x+e^{3x}}dx
derivada de bcos(x)	\frac{d}{dx}(b\cos(x))
pendiente (2.4)(2.3)	slope\:(2.4)(2.3)
integral de (cos^4(x)-sin^4(x))	\int\:(\cos^{4}(x)-\sin^{4}(x))dx
integral de 6t+4	\int\:6t+4dt
integral de 3 a 6 de t^2ln(2t)	\int\:_{3}^{6}t^{2}\ln(2t)dt
integral de sec^2(x)+2	\int\:\sec^{2}(x)+2dx
(\partial)/(\partial x)(2x^2)	\frac{\partial\:}{\partial\:x}(2x^{2})
(dy)/(dx)=sin(2x)-ycos(x)	\frac{dy}{dx}=\sin(2x)-y\cos(x)
derivada de 3x^4-4x^3-12x^2+1	\frac{d}{dx}(3x^{4}-4x^{3}-12x^{2}+1)
integral de (x^2+4x+10)/(x^3+2x^2+5x)	\int\:\frac{x^{2}+4x+10}{x^{3}+2x^{2}+5x}dx
derivada de ln(sqrt(x(1-x)))	\frac{d}{dx}(\ln(\sqrt{x(1-x)}))
derivative ln(X^{1/2})	derivative\:\ln(X^{\frac{1}{2}})
integral de 6/((x+1)^2)	\int\:\frac{6}{(x+1)^{2}}dx
límite cuando x tiende a-3 de (3-x)/(x+3)	\lim\:_{x\to\:-3}(\frac{3-x}{x+3})
(\partial)/(\partial y)(2sec^2(2x+3y))	\frac{\partial\:}{\partial\:y}(2\sec^{2}(2x+3y))

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