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Problemas populares de Cálculo

derivada de (5x^2-2x+1^{-3})	\frac{d}{dx}((5x^{2}-2x+1)^{-3})
límite cuando x tiende a 3 de (2+x)/(x-3)	\lim\:_{x\to\:3}(\frac{2+x}{x-3})
d/(dt)(2t^2-10)	\frac{d}{dt}(2t^{2}-10)
integral de-5/(3x)	\int\:-\frac{5}{3x}dx
derivative ((2x^4+5x^3-2x-8))/((x+3))	derivative\:\frac{(2x^{4}+5x^{3}-2x-8)}{(x+3)}
(\partial)/(\partial x)((4x-3t)/(s+2x))	\frac{\partial\:}{\partial\:x}(\frac{4x-3t}{s+2x})
(\partial)/(\partial x)(x-cos(x))	\frac{\partial\:}{\partial\:x}(x-\cos(x))
y^'=yx	y^{\prime\:}=yx
límite cuando x tiende a 0 de+(x^3+3)/x	\lim\:_{x\to\:0}(+\frac{x^{3}+3}{x})
derivada de ln(3-x^2)	\frac{d}{dx}(\ln(3-x^{2}))
derivada de sqrt(24+x^2)	\frac{d}{dx}(\sqrt{24+x^{2}})
límite cuando n tiende a infinity de 2n^2	\lim\:_{n\to\:\infty\:}(2n^{2})
derivada de e^{(-1/x})	\frac{d}{dx}(e^{\frac{-1}{x}})
límite cuando x tiende a 0 de 10^x	\lim\:_{x\to\:0}(10^{x})
límite cuando x tiende a 3 de (x^2-2)/(3-x)	\lim\:_{x\to\:3}(\frac{x^{2}-2}{3-x})
tangent y=(x^3-4x)^{10}	tangent\:y=(x^{3}-4x)^{10}
derivada de 5/2 x	\frac{d}{dx}(\frac{5}{2}x)
tangent 3/(sin(x)+cos(x))	tangent\:\frac{3}{\sin(x)+\cos(x)}
y^'=x+y,y(0)=5	y^{\prime\:}=x+y,y(0)=5
integral de x/((x-2)^2)	\int\:\frac{x}{(x-2)^{2}}dx
límite cuando x tiende a-infinity de x-1	\lim\:_{x\to\:-\infty\:}(x-1)
(\partial ^2)/(\partial x^2)(xy^2-6x^2-3y^2)	\frac{\partial\:^{2}}{\partial\:x^{2}}(xy^{2}-6x^{2}-3y^{2})
derivative (2x^2+x-3)/(-3x^2-4x+2)	derivative\:\frac{2x^{2}+x-3}{-3x^{2}-4x+2}
simplificar (e^{-x}-e^5)(e^x+e^{-3})	simplify\:(e^{-x}-e^{5})(e^{x}+e^{-3})
inversalaplace (400)/(s(s+2)^3)	inverselaplace\:\frac{400}{s(s+2)^{3}}
(\partial)/(\partial x)(6x^{y/z})	\frac{\partial\:}{\partial\:x}(6x^{\frac{y}{z}})
derivada de x^2-2xe^{-x}+e^{-2x}	\frac{d}{dx}(x^{2}-2xe^{-x}+e^{-2x})
integral de 0 a 2 de \|x\|	\int\:_{0}^{2}\left\|x\right\|dx
límite cuando x tiende a 0 de x(e^x-1/x)	\lim\:_{x\to\:0}(x(e^{x}-\frac{1}{x}))
tangent f(x)=x^2+3x-3,\at x=1	tangent\:f(x)=x^{2}+3x-3,\at\:x=1
derivative f(t)=e^{5tsin(2t)}	derivative\:f(t)=e^{5t\sin(2t)}
derivative 15(cos(x)-xsin(x))	derivative\:15(\cos(x)-x\sin(x))
límite cuando x tiende a 1-de 6/(x^3-1)	\lim\:_{x\to\:1-}(\frac{6}{x^{3}-1})
límite cuando x tiende a 0+de tan^x(2x)	\lim\:_{x\to\:0+}(\tan^{x}(2x))
(\partial)/(\partial z)(2ze^{xyz})	\frac{\partial\:}{\partial\:z}(2ze^{xyz})
9y^{''}+48y^'+64y=0	9y^{\prime\:\prime\:}+48y^{\prime\:}+64y=0
f^'(x)=-x	f^{\prime\:}(x)=-x
derivada de (arctan(9x)^2)	\frac{d}{dx}((\arctan(9x))^{2})
d/(dt)(acos(10t)+bsin(10t))	\frac{d}{dt}(a\cos(10t)+b\sin(10t))
integral de 0 a 1 de (1/(sqrt(x)))	\int\:_{0}^{1}(\frac{1}{\sqrt{x}})dx
derivada de 89sqrt(x)	\frac{d}{dx}(89\sqrt{x})
pendiente (6x)/(x+5)	slope\:\frac{6x}{x+5}
integral de e^xsqrt(41+e^x)	\int\:e^{x}\sqrt{41+e^{x}}dx
derivative cos^2(e^{cos^2(t)})	derivative\:\cos^{2}(e^{\cos^{2}(t)})
inversalaplace (280)/((s^2+14s+245))	inverselaplace\:\frac{280}{(s^{2}+14s+245)}
(\partial)/(\partial x)(4x^3)	\frac{\partial\:}{\partial\:x}(4x^{3})
tangent f(x)=8x-x^2,\at x=1	tangent\:f(x)=8x-x^{2},\at\:x=1
integral de (2+3x^2-8x^3)	\int\:(2+3x^{2}-8x^{3})dx
y^{''}+3y^'+2y=15+ex	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=15+ex
integral de x-x^3	\int\:x-x^{3}dx
derivada de ace^{-e^{c(b-x}+c(b-x)})	\frac{d}{dx}(ace^{-e^{c(b-x)}+c(b-x)})
integral de tan(x)sec^6(x)	\int\:\tan(x)\sec^{6}(x)dx
derivative \sqrt[7]{t}+4sqrt(t^7)	derivative\:\sqrt[7]{t}+4\sqrt{t^{7}}
derivada de (4x+e^{-z^2}^3)	\frac{d}{dx}((4x+e^{-z^{2}})^{3})
derivada de e^{(x^2/2})	\frac{d}{dx}(e^{\frac{x^{2}}{2}})
integral de xsqrt(x-21)	\int\:x\sqrt{x-21}dx
derivative f(x)=(7x-4)/(-3x+3)	derivative\:f(x)=\frac{7x-4}{-3x+3}
integral de 5/(x^2+18x+82)	\int\:\frac{5}{x^{2}+18x+82}dx
integral de 0 a 13 de 1/(x^{1/4)}	\int\:_{0}^{13}\frac{1}{x^{\frac{1}{4}}}dx
límite cuando n tiende a infinity de a^n	\lim\:_{n\to\:\infty\:}(a^{n})
y^'=xy^2+2y^2	y^{\prime\:}=xy^{2}+2y^{2}
y^{''}+4y=8sin(2t)	y^{\prime\:\prime\:}+4y=8\sin(2t)
integral de 1/(x^3sqrt(16-x^2))	\int\:\frac{1}{x^{3}\sqrt{16-x^{2}}}dx
laplacetransformación (t-5)^2	laplacetransform\:(t-5)^{2}
integral de-pi	\int\:-πdx
serie de n=-4 a infinity de (-4/7)^n	\sum\:_{n=-4}^{\infty\:}(-\frac{4}{7})^{n}
integral de 1/((1-2x)^4sqrt(4x^2-4x-4))	\int\:\frac{1}{(1-2x)^{4}\sqrt{4x^{2}-4x-4}}dx
derivada de 3/(1+3x)	\frac{d}{dx}(\frac{3}{1+3x})
integral de 4/65 x^3	\int\:\frac{4}{65}x^{3}dx
integral de 1/(x^2+ax)	\int\:\frac{1}{x^{2}+ax}dx
área f(x)=2x,(0,3)	area\:f(x)=2x,(0,3)
taylor e^x-11	taylor\:e^{x}-11
integral de pi/4 a pi/2 de sin(x)	\int\:_{\frac{π}{4}}^{\frac{π}{2}}\sin(x)dx
integral de ((ln(x^4)))/x	\int\:\frac{(\ln(x^{4}))}{x}dx
(\partial)/(\partial x)(2y^2sqrt(x))	\frac{\partial\:}{\partial\:x}(2y^{2}\sqrt{x})
integral de e^{1/x}-e^{1/(x+1)}	\int\:e^{\frac{1}{x}}-e^{\frac{1}{x+1}}dx
derivada de ln(e^x-y)	\frac{d}{dx}(\ln(e^{x}-y))
integral de x^3sqrt(x^2-1)	\int\:x^{3}\sqrt{x^{2}-1}dx
derivada de 1/((x^2-1(x^2+3x+3)))	\frac{d}{dx}(\frac{1}{(x^{2}-1)(x^{2}+3x+3)})
integral de sin^3(7x)cos^{-2}(7x)	\int\:\sin^{3}(7x)\cos^{-2}(7x)dx
ty^'=2y+3t^3cos(2t),y(pi/4)=0	ty^{\prime\:}=2y+3t^{3}\cos(2t),y(\frac{π}{4})=0
derivative (6x^2+4x+6)/(sqrt(x))	derivative\:\frac{6x^{2}+4x+6}{\sqrt{x}}
(\partial}{\partial y}(\frac{(x+y))/z)	\frac{\partial\:}{\partial\:y}(\frac{(x+y)}{z})
derivada de 2/3 (-2e^{-2x}+e^x)	\frac{d}{dx}(\frac{2}{3}(-2e^{-2x}+e^{x}))
integral de (sin(y))	\int\:(\sin(y))dy
integral de cos^5(xta)n^3x	\int\:\cos^{5}(xta)n^{3}xdx
derivada de 2/(\sqrt[3]{x})	\frac{d}{dx}(\frac{2}{\sqrt[3]{x}})
longdivision (x^4+1)/(x^2+1)	longdivision\:\frac{x^{4}+1}{x^{2}+1}
área y=x,y=1-x,y=-x/2	area\:y=x,y=1-x,y=-\frac{x}{2}
integral de 1/(3xlog_{7)(x)}	\int\:\frac{1}{3x\log_{7}(x)}dx
(\partial)/(\partial y)(e^x+y)	\frac{\partial\:}{\partial\:y}(e^{x}+y)
(\partial)/(\partial x)(x^2-5xy+3y^2+x-4y)	\frac{\partial\:}{\partial\:x}(x^{2}-5xy+3y^{2}+x-4y)
integral de (xsqrt(x^4))	\int\:(x\sqrt{x^{4}})dx
derivada de 1/2 ln((1+x/(1-x)))	\frac{d}{dx}(\frac{1}{2}\ln(\frac{1+x}{1-x}))
y^{'''}-5y^{''}+8y^'+14y=0	y^{\prime\:\prime\:\prime\:}-5y^{\prime\:\prime\:}+8y^{\prime\:}+14y=0
integral de (12x^3+6x^2)/(3x^4+2x^3-5)	\int\:\frac{12x^{3}+6x^{2}}{3x^{4}+2x^{3}-5}dx
(\partial)/(\partial t)(1+t)	\frac{\partial\:}{\partial\:t}(1+t)
integral de ((-5x^4-4\sqrt[3]{x})/(4x))	\int\:(\frac{-5x^{4}-4\sqrt[3]{x}}{4x})dx
derivative f(x)=4+sqrt(7x)	derivative\:f(x)=4+\sqrt{7x}
(dy)/(dx)+2/x y=4x	\frac{dy}{dx}+\frac{2}{x}y=4x

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