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Problemas populares

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Problemas populares de Cálculo

derivative f(x)=x^2cos(x)	derivative\:f(x)=x^{2}\cos(x)
d/(dy)(e^y)	\frac{d}{dy}(e^{y})
derivada de sqrt(sin(3x))	\frac{d}{dx}(\sqrt{\sin(3x)})
f^'(x)=-(4x)/((1+2x^2)^2)	f^{\prime\:}(x)=-\frac{4x}{(1+2x^{2})^{2}}
(6y+2x-7)dx+(4y+6x-1)dy=0	(6y+2x-7)dx+(4y+6x-1)dy=0
integral de-1 a 1 de 2-\|x\|	\int\:_{-1}^{1}2-\left\|x\right\|dx
integral de 1/(e^{-t)}	\int\:\frac{1}{e^{-t}}dt
integral de 4cos^3(6x)	\int\:4\cos^{3}(6x)dx
integral de xsin(kx)	\int\:x\cdot\:\sin(k\cdot\:x)dx
derivative (4x)^{6x}	derivative\:(4x)^{6x}
(\partial)/(\partial x)(e^{-y}cos(x))	\frac{\partial\:}{\partial\:x}(e^{-y}\cos(x))
integral de 1/(sqrt(x)+\sqrt{x+1)}	\int\:\frac{1}{\sqrt{x}+\sqrt{x+1}}dx
(dy)/(dt)=e^{-3t}	\frac{dy}{dt}=e^{-3t}
paridad cos^x(x)	parity\:\cos^{x}(x)
(d^2)/(dx^2)((2x)/(x^2+1))	\frac{d^{2}}{dx^{2}}(\frac{2x}{x^{2}+1})
derivada de 1/(2x^2-3x+1)	\frac{d}{dx}(\frac{1}{2x^{2}-3x+1})
serie de n=1 a infinity de (n^5)/(5^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{5}}{5^{n}}
integral de x^2 a 4-x^2 de y	\int\:_{x^{2}}^{4-x^{2}}ydy
integral de 1/((x^2+4)^{5/2)}	\int\:\frac{1}{(x^{2}+4)^{\frac{5}{2}}}dx
derivative y=2xe^{-3x}+3e^{x^2}	derivative\:y=2xe^{-3x}+3e^{x^{2}}
y^{''}=3t^2	y^{\prime\:\prime\:}=3t^{2}
integral de e^{(-st)}	\int\:e^{(-st)}dt
y^{''}+4y=sin(3x)	y^{\prime\:\prime\:}+4y=\sin(3x)
tangent f(x)=x^2+1,(2,5)	tangent\:f(x)=x^{2}+1,(2,5)
integral de 2/(1+9x^2)	\int\:\frac{2}{1+9x^{2}}dx
derivative (x^2-1)^2	derivative\:(x^{2}-1)^{2}
integral de xln(5+x)	\int\:x\ln(5+x)dx
(\partial)/(\partial y)(3x^3y)	\frac{\partial\:}{\partial\:y}(3x^{3}y)
integral de sin(x)*2x	\int\:\sin(x)\cdot\:2xdx
(\partial)/(\partial x)(2e^yx)	\frac{\partial\:}{\partial\:x}(2e^{y}x)
integral de (6x^3+3x^2-46x-21)/(x^2-9)	\int\:\frac{6x^{3}+3x^{2}-46x-21}{x^{2}-9}dx
(\partial)/(\partial y)(2x)	\frac{\partial\:}{\partial\:y}(2x)
integral de ((1+sqrt(x))^2)/(sqrt(x))	\int\:\frac{(1+\sqrt{x})^{2}}{\sqrt{x}}dx
integral de sqrt(1+4x-x^2)	\int\:\sqrt{1+4x-x^{2}}dx
integral de arctan(1/x)	\int\:\arctan(\frac{1}{x})dx
derivada de 2x^2-4x+3	\frac{d}{dx}(2x^{2}-4x+3)
derivative f(x)=139+(36)/x+(x^2)/(16)	derivative\:f(x)=139+\frac{36}{x}+\frac{x^{2}}{16}
x^{''}-6x^'+25x=64e^{-t}	x^{\prime\:\prime\:}-6x^{\prime\:}+25x=64e^{-t}
derivada de-7x^3	\frac{d}{dx}(-7x^{3})
(\partial)/(\partial y)(ln(x^2+1)+y^2)	\frac{\partial\:}{\partial\:y}(\ln(x^{2}+1)+y^{2})
derivative arctan(0)	derivative\:\arctan(0)
límite cuando x tiende a 1 de e^{x^3-x}	\lim\:_{x\to\:1}(e^{x^{3}-x})
derivada de (3x-2/(x^2))	\frac{d}{dx}(\frac{3x-2}{x^{2}})
integral de (x^5-9+6/(x^7))	\int\:(x^{5}-9+\frac{6}{x^{7}})dx
derivada de y+x+x+y+1=0	\frac{d}{dx}(y+x)+x+y+1=0
integral de 1/(sqrt(-x^2+2x+8))	\int\:\frac{1}{\sqrt{-x^{2}+2x+8}}dx
(\partial)/(\partial x)(2xy+ycos(x))	\frac{\partial\:}{\partial\:x}(2xy+y\cos(x))
área e^{8x}-e^{2x},x=1	area\:e^{8x}-e^{2x},x=1
integral de \sqrt[3]{2x+1}	\int\:\sqrt[3]{2x+1}dx
área y=x-6,y^2=2x+108	area\:y=x-6,y^{2}=2x+108
límite cuando x tiende a 3 de (13sin(6x))/x	\lim\:_{x\to\:3}(\frac{13\sin(6x)}{x})
derivada de sqrt(2x-15)	\frac{d}{dx}(\sqrt{2x-15})
derivative f(x)=ln(c^3-1)	derivative\:f(x)=\ln(c^{3}-1)
serie de n=4 a infinity de e^{7-6n}	\sum\:_{n=4}^{\infty\:}e^{7-6n}
(dx)/(dt)+2t^7x^9+x/t =0	\frac{dx}{dt}+2t^{7}x^{9}+\frac{x}{t}=0
maclaurin x*e^x	maclaurin\:x\cdot\:e^{x}
y^3dx-x^3dy=0	y^{3}dx-x^{3}dy=0
integral de 25xe^{5x}	\int\:25xe^{5x}dx
integral de (4x)/(e^{3x)}	\int\:\frac{4x}{e^{3x}}dx
pendiente (0.3)(4)	slope\:(0.3)(4)
derivada de (x^2+sqrt(x)+1/(x^{3/2)})	\frac{d}{dx}(\frac{x^{2}+\sqrt{x}+1}{x^{\frac{3}{2}}})
pendiente (-4,-3),(3,-3)	slope\:(-4,-3),(3,-3)
integral de (sin(x))/(cos(x))	\int\:\frac{\sin(x)}{\cos(x)}dx
integral de pi^2-1	\int\:π^{2}-1
integral de ((3x-1))/(x^2-x-6)	\int\:\frac{(3x-1)}{x^{2}-x-6}dx
integral de-infinity a 0 de ze^{2z}	\int\:_{-\infty\:}^{0}ze^{2z}dz
integral de t/(t^4+10)	\int\:\frac{t}{t^{4}+10}dt
derivada de sqrt(x-y)	\frac{d}{dx}(\sqrt{x-y})
integral de x^3sqrt(x^2+38)	\int\:x^{3}\sqrt{x^{2}+38}dx
derivada de Axe^x	\frac{d}{dx}(Axe^{x})
pendiente (-1,2),(3,-3)	slope\:(-1,2),(3,-3)
derivada de 2*ln(x)	\frac{d}{dx}(2\cdot\:\ln(x))
derivative sin^3(x)	derivative\:\sin^{3}(x)
límite cuando x tiende a 0 de sqrt(x+1)-1	\lim\:_{x\to\:0}(\sqrt{x+1}-1)
integral de (4x^2+4)/((x^2-2x+2)^2)	\int\:\frac{4x^{2}+4}{(x^{2}-2x+2)^{2}}dx
(\partial)/(\partial y)(ln(x^2+y^2+1))	\frac{\partial\:}{\partial\:y}(\ln(x^{2}+y^{2}+1))
(\partial)/(\partial x)(3-(e^y)/(e^{x+1)})	\frac{\partial\:}{\partial\:x}(3-\frac{e^{y}}{e^{x+1}})
derivative f(x)=\sqrt[7]{x^6}	derivative\:f(x)=\sqrt[7]{x^{6}}
tangent f(x)=2x^2+3x-2,\at x=0	tangent\:f(x)=2x^{2}+3x-2,\at\:x=0
integral de (3x^2+2x-1)	\int\:(3x^{2}+2x-1)dx
límite cuando x tiende a 1+de x^3	\lim\:_{x\to\:1+}(x^{3})
integral de (sqrt(1+x^2))/(-9x)	\int\:\frac{\sqrt{1+x^{2}}}{-9x}dx
integral de tan^2(y)	\int\:\tan^{2}(y)dy
tangent y= 1/(x^3)	tangent\:y=\frac{1}{x^{3}}
integral de-2 a 2 de x^3-1	\int\:_{-2}^{2}x^{3}-1dx
derivative z(v)=v^{3/2}(v+ce^v)	derivative\:z(v)=v^{\frac{3}{2}}(v+ce^{v})
y^{''}+y=(cot(x))^2	y^{\prime\:\prime\:}+y=(\cot(x))^{2}
(\partial)/(\partial x)((6x)/(sqrt(x^2+5)))	\frac{\partial\:}{\partial\:x}(\frac{6x}{\sqrt{x^{2}+5}})
integral de 4ln(x)	\int\:4\ln(x)dx
(\partial)/(\partial x)(x^7y^8+3x^5y)	\frac{\partial\:}{\partial\:x}(x^{7}y^{8}+3x^{5}y)
serie de n=0 a infinity de (2n)/(n+3)	\sum\:_{n=0}^{\infty\:}\frac{2n}{n+3}
x(dy)/(dx)+y=-5xy^2	x\frac{dy}{dx}+y=-5xy^{2}
integral de x^4-2/x	\int\:x^{4}-\frac{2}{x}dx
(\partial)/(\partial x)((x+y)ln(xy))	\frac{\partial\:}{\partial\:x}((x+y)\ln(xy))
límite cuando x tiende a 0 de 4/(x^5)	\lim\:_{x\to\:0}(\frac{4}{x^{5}})
derivada de x^2sin(x)	\frac{d}{dx}(x^{2}\sin(x))
derivada de e^{ktan(sqrt(7x)})	\frac{d}{dx}(e^{k\tan(\sqrt{7x})})
tangent 5-x-x^2	tangent\:5-x-x^{2}
integral de (5x)/(x(x-1))	\int\:\frac{5x}{x(x-1)}dx
integral de 11ln(x)	\int\:11\ln(x)dx

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