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derivative 7x+1	derivative\:7x+1
derivada de 6arcsinh(tan(x))	\frac{d}{dx}(6\arcsinh(\tan(x)))
(\partial)/(\partial x)(ln(6x^2-4y^2))	\frac{\partial\:}{\partial\:x}(\ln(6x^{2}-4y^{2}))
límite cuando x tiende a 7 de (9x)/(x-7)	\lim\:_{x\to\:7}(\frac{9x}{x-7})
(dy)/(dx)=e^{-x}-y	\frac{dy}{dx}=e^{-x}-y
derivative y=x^{17/18}	derivative\:y=x^{\frac{17}{18}}
(\partial)/(\partial y)(y*ln(x))	\frac{\partial\:}{\partial\:y}(y\cdot\:\ln(x))
derivada de 1/3 sqrt((16+x^2^3))	\frac{d}{dx}(\frac{1}{3}\sqrt{(16+x^{2})^{3}})
integral de 1/(sqrt(4x^2-7))	\int\:\frac{1}{\sqrt{4x^{2}-7}}dx
integral de 0 a t de 9e^ssin(t-s)	\int\:_{0}^{t}9e^{s}\sin(t-s)ds
derivative f(x)=(2-x)e^x	derivative\:f(x)=(2-x)e^{x}
límite cuando x tiende a 0+de 2	\lim\:_{x\to\:0+}(2)
laplacetransform t	laplacetransform\:t
límite cuando x tiende a infinity de-(x^2)	\lim\:_{x\to\:\infty\:}(-(x^{2}))
derivada de (2(1-x^2)/((1+x^2)^2))	\frac{d}{dx}(\frac{2(1-x^{2})}{(1+x^{2})^{2}})
integral de-5 a 5 de pi(25-x^2)	\int\:_{-5}^{5}π(25-x^{2})dx
integral de e^xsqrt(e^{x+1)}	\int\:e^{x}\sqrt{e^{x+1}}dx
límite cuando x tiende a 6 de (x-6)/(\|x-6\|)	\lim\:_{x\to\:6}(\frac{x-6}{\left\|x-6\right\|})
serie de n=1 a infinity de (n-1)/(n+1)	\sum\:_{n=1}^{\infty\:}\frac{n-1}{n+1}
derivative f(x)=7xe^xcsc(x)	derivative\:f(x)=7xe^{x}\csc(x)
xy^'-3y=7x	xy^{\prime\:}-3y=7x
inverselaplace s/((s^2-1))	inverselaplace\:\frac{s}{(s^{2}-1)}
y^'+ycos(x)=4cos(x)	y^{\prime\:}+y\cos(x)=4\cos(x)
integral de sin(2x)sqrt(1+2cos(2x))	\int\:\sin(2x)\sqrt{1+2\cos(2x)}dx
límite cuando x tiende a 2 de 2(3)	\lim\:_{x\to\:2}(2(3))
integral de cos^4(5x+7)	\int\:\cos^{4}(5x+7)dx
sqrt(1-4x^2)(dy)/(dx)=x	\sqrt{1-4x^{2}}\frac{dy}{dx}=x
integral de-3t	\int\:-3tdt
integral de e^{-kt}	\int\:e^{-kt}dt
derivada de sqrt(x)*sin(x)	\frac{d}{dx}(\sqrt{x}\cdot\:\sin(x))
integral de 8x^3+1/(2x^2)	\int\:8x^{3}+\frac{1}{2x^{2}}dx
integral de e^{-cos(x)}sin^3(x)	\int\:e^{-\cos(x)}\sin^{3}(x)dx
límite cuando x tiende a 0 de cot(x)	\lim\:_{x\to\:0}(\cot(x))
d/(dy)(2y-1)	\frac{d}{dy}(2y-1)
y^{''}-2y^'+1y=0,y(0)=-1,y^'(0)=2	y^{\prime\:\prime\:}-2y^{\prime\:}+1y=0,y(0)=-1,y^{\prime\:}(0)=2
integral de 1/(cos^2(x))	\int\:\frac{1}{\cos^{2}(x)}dx
derivada de ln(x+x)	\frac{d}{dx}(\ln(x)+x)
derivative f(t)=(8^{8t})/t	derivative\:f(t)=\frac{8^{8t}}{t}
pendiente (-5/6 ,0),(0,6)	slope\:(-\frac{5}{6},0),(0,6)
integral de 2/((x+1)(x^2+1))	\int\:\frac{2}{(x+1)(x^{2}+1)}dx
derivada de 5x^4ln(x)	\frac{d}{dx}(5x^{4}\ln(x))
integral de cos((2x)/3)	\int\:\cos(\frac{2x}{3})dx
integral de 0 a 1 de-3x5^x	\int\:_{0}^{1}-3x5^{x}dx
derivada de ln(7x^5)	\frac{d}{dx}(\ln(7x^{5}))
derivada de (xe^x-9x/(e^x))	\frac{d}{dx}(\frac{xe^{x}-9x}{e^{x}})
derivative 9x^{-4}-9x^{-1}	derivative\:9x^{-4}-9x^{-1}
integral de-infinity a 1 de 5^x	\int\:_{-\infty\:}^{1}5^{x}dx
x^{''}+9x-27=0	x^{\prime\:\prime\:}+9x-27=0
integral de 3 a 5 de 2/(4+(x-3)^2)	\int\:_{3}^{5}\frac{2}{4+(x-3)^{2}}dx
derivada de (2x-1(sqrt(3-4x)))	\frac{d}{dx}((2x-1)(\sqrt{3-4x}))
integral de 2/(1-sin(x))	\int\:\frac{2}{1-\sin(x)}dx
integral de-0.01x	\int\:-0.01xdx
integral de ((x-2)sqrt(1-x^2))/(1-x^2)	\int\:\frac{(x-2)\sqrt{1-x^{2}}}{1-x^{2}}dx
derivada de (3x-4(5x+2))	\frac{d}{dx}((3x-4)(5x+2))
(\partial)/(\partial x)(-y/(sqrt(x^2+y^2)))	\frac{\partial\:}{\partial\:x}(-\frac{y}{\sqrt{x^{2}+y^{2}}})
tangent y= 1/(1+x^2),(1,0.5)	tangent\:y=\frac{1}{1+x^{2}},(1,0.5)
tangent y=x^3+6x-2,(1,5)	tangent\:y=x^{3}+6x-2,(1,5)
derivada de 9/(6-x)	\frac{d}{dx}(\frac{9}{6-x})
integral de 2x^3+3	\int\:2x^{3}+3dx
derivative f(x)=(x+4)/(\sqrt[4]{x^3)}	derivative\:f(x)=\frac{x+4}{\sqrt[4]{x^{3}}}
integral de 0 a 1 de 0.2e^{-0.2x}	\int\:_{0}^{1}0.2e^{-0.2x}dx
derivada de (sqrt(x+1)/x)	\frac{d}{dx}(\frac{\sqrt{x+1}}{x})
d/(dy)((1/(y^2)-5/(y^4))(y+9y^3))	\frac{d}{dy}((\frac{1}{y^{2}}-\frac{5}{y^{4}})(y+9y^{3}))
(dy)/(dx)=2-3y	\frac{dy}{dx}=2-3y
integral de 0 a 1 de 2/((x+2)^2)	\int\:_{0}^{1}\frac{2}{(x+2)^{2}}dx
derivada de (1(e^x-e^{-x})/2)	\frac{d}{dx}(\frac{1(e^{x}-e^{-x})}{2})
integral de (-2)/(5x^2)	\int\:\frac{-2}{5x^{2}}dx
(dy)/(dx)-xy^2=2yx	\frac{dy}{dx}-xy^{2}=2yx
derivada de ln((3-x/(3+x)))	\frac{d}{dx}(\ln(\frac{3-x}{3+x}))
integral de-1 a 5 de \|x-3x^2\|	\int\:_{-1}^{5}\left\|x-3x^{2}\right\|dx
integral de (log_{2}(u))/u	\int\:\frac{\log_{2}(u)}{u}dx
derivada de x/(1-sin(x))	\frac{d}{dx}(\frac{x}{1-\sin(x)})
inverselaplace 1/(s(2s^2+2s+1))	inverselaplace\:\frac{1}{s(2s^{2}+2s+1)}
serie de n=0 a infinity de 3/(n^{5/3)}	\sum\:_{n=0}^{\infty\:}\frac{3}{n^{\frac{5}{3}}}
derivative ((x^2-4x))/(x+1)	derivative\:\frac{(x^{2}-4x)}{x+1}
integral de 1/(x^4)+4	\int\:\frac{1}{x^{4}}+4dx
implicit (dy)/(dx),x^3+y^3-9xy=0	implicit\:\frac{dy}{dx},x^{3}+y^{3}-9xy=0
tangent y=sqrt(2x),(18,6)	tangent\:y=\sqrt{2x},(18,6)
(\partial)/(\partial x)((ye^{-y/x})/(x^2))	\frac{\partial\:}{\partial\:x}(\frac{ye^{-\frac{y}{x}}}{x^{2}})
integral de-6y	\int\:-6ydy
integral de x/(1+cos(x))	\int\:\frac{x}{1+\cos(x)}dx
derivada de 1/x+x^2	\frac{d}{dx}(\frac{1}{x}+x^{2})
derivative f(x)= x/(x-3)	derivative\:f(x)=\frac{x}{x-3}
derivative f(x)=(x^2+x-2)/(x^3+6)	derivative\:f(x)=\frac{x^{2}+x-2}{x^{3}+6}
derivada de 2xsqrt(4-x^2)	\frac{d}{dx}(2x\sqrt{4-x^{2}})
derivada de ln(e^x-e^a)	\frac{d}{dx}(\ln(e^{x}-e^{a}))
derivada de e^{x^2+9x}	\frac{d}{dx}(e^{x^{2}+9x})
integral de sec^3(x)tan^5(x)	\int\:\sec^{3}(x)\tan^{5}(x)dx
integral de 2x^3	\int\:2x^{3}dx
integral de-1/2sin(2x)+1/42x	\int\:-\frac{1}{2}\cdot\:\sin(2x)+\frac{1}{4}\cdot\:2xdx
integral de x^5+1	\int\:x^{5}+1dx
integral de e^{tan(3x)}sec^2(3x)	\int\:e^{\tan(3x)}\sec^{2}(3x)dx
derivada de ({f}(x{g}(x))/x)	\frac{d}{dx}(\frac{{f}(x){g}(x)}{x})
-y^{''}+y=1	-y^{\prime\:\prime\:}+y=1
área f(x)=-x^2+3,g(x)=2x+3	area\:f(x)=-x^{2}+3,g(x)=2x+3
límite cuando x tiende a-7 de x	\lim\:_{x\to\:-7}(x)
derivada de 5x-tan(5x)	\frac{d}{dx}(5x-\tan(5x))
y^'+y=5sin(2t)	y^{\prime\:}+y=5\sin(2t)
(d^2)/(dx^2)(1/(x^3))	\frac{d^{2}}{dx^{2}}(\frac{1}{x^{3}})
integral de 8/x	\int\:\frac{8}{x}dx

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