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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial x)(2e^{x^3y})	\frac{\partial\:}{\partial\:x}(2e^{x^{3}y})
(\partial}{\partial x}(\frac{ln(x))/x)	\frac{\partial\:}{\partial\:x}(\frac{\ln(x)}{x})
derivada de 5*2^x	\frac{d}{dx}(5\cdot\:2^{x})
integral de 0 a pi de 9xsin(x)	\int\:_{0}^{π}9x\sin(x)dx
(\partial)/(\partial x)(y*e^{2x})	\frac{\partial\:}{\partial\:x}(y\cdot\:e^{2x})
integral de 1 a 4 de (3-\|x-3\|)	\int\:_{1}^{4}(3-\left\|x-3\right\|)dx
tangent f(x)=(2x)/(x^2-7)	tangent\:f(x)=\frac{2x}{x^{2}-7}
derivada de sqrt(x^2+(y-1^2))	\frac{d}{dx}(\sqrt{x^{2}+(y-1)^{2}})
límite cuando x tiende a infinity de 25-x^3	\lim\:_{x\to\:\infty\:}(25-x^{3})
derivada de 1/5 sin(x)	\frac{d}{dx}(\frac{1}{5}\sin(x))
y^{'''}+5y^{''}-2y^'-4y=0	y^{\prime\:\prime\:\prime\:}+5y^{\prime\:\prime\:}-2y^{\prime\:}-4y=0
área ((2-x^2))/2 ,(-5/4 , 5/4)	area\:\frac{(2-x^{2})}{2},(-\frac{5}{4},\frac{5}{4})
integral de (x^2)/(sqrt(121-x^2))	\int\:\frac{x^{2}}{\sqrt{121-x^{2}}}dx
integral de x^2+pi	\int\:x^{2}+πdx
integral de 1/((x^2+9)^2)	\int\:\frac{1}{(x^{2}+9)^{2}}dx
derivative 3-\|x-8\|	derivative\:3-\left\|x-8\right\|
taylor sin(2x), pi/4	taylor\:\sin(2x),\frac{π}{4}
derivada de 11e^{1/x}	\frac{d}{dx}(11e^{\frac{1}{x}})
límite cuando x tiende a 0 de (tan^2(3x))/x	\lim\:_{x\to\:0}(\frac{\tan^{2}(3x)}{x})
derivada de {f}(x(x)^2)	\frac{d}{dx}({f}(x)(x)^{2})
(dy)/(dx)=(y^2)/(x^2)+y/x+1	\frac{dy}{dx}=\frac{y^{2}}{x^{2}}+\frac{y}{x}+1
derivada de (x^2-10x+2/(x(x^2-1)))	\frac{d}{dx}(\frac{x^{2}-10x+2}{x(x^{2}-1)})
derivada de (x^5/(3-x^4))	\frac{d}{dx}(\frac{x^{5}}{3-x^{4}})
derivada de (sin^2(x)/4)	\frac{d}{dx}(\frac{\sin^{2}(x)}{4})
derivada de e^xln(x^2)	\frac{d}{dx}(e^{x}\ln(x^{2}))
(dy)/(dx)=(xy)/(x^2+1)	\frac{dy}{dx}=\frac{xy}{x^{2}+1}
derivative f(x)=-3x^2+24x-36	derivative\:f(x)=-3x^{2}+24x-36
y^'=(2x)/(1+2y)	y^{\prime\:}=\frac{2x}{1+2y}
tangent f(x)=6sin(x),(pi/6 ,3)	tangent\:f(x)=6\sin(x),(\frac{π}{6},3)
(\partial)/(\partial u(v))((e^v)/(u(v)+v^8))	\frac{\partial\:}{\partial\:u(v)}(\frac{e^{v}}{u(v)+v^{8}})
implicit (dy)/(dx),9cos(xy)=4x+5y	implicit\:\frac{dy}{dx},9\cos(xy)=4x+5y
integral de-2 a 2 de y^2-2-y	\int\:_{-2}^{2}y^{2}-2-ydy
(\partial)/(\partial x)(((x-3y))/(x+3y))	\frac{\partial\:}{\partial\:x}(\frac{(x-3y)}{x+3y})
integral de (5-50x)/(sqrt(36-25x^2))	\int\:\frac{5-50x}{\sqrt{36-25x^{2}}}dx
integral de (x^2)/2-2x	\int\:\frac{x^{2}}{2}-2xdx
integral de 1/((x+1)(3x+1))	\int\:\frac{1}{(x+1)(3x+1)}dx
integral de x/(sqrt(5+x-x^2))	\int\:\frac{x}{\sqrt{5+x-x^{2}}}dx
integral de xsqrt(2x+3)	\int\:x\sqrt{2x+3}dx
(\partial)/(\partial x)(cos^6(x^9y^5))	\frac{\partial\:}{\partial\:x}(\cos^{6}(x^{9}y^{5}))
integral de ((2x+3))/(sqrt(x))	\int\:\frac{(2x+3)}{\sqrt{x}}dx
y^{''}+2y^'+2y=8e^{2t},y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=8e^{2t},y(0)=0,y^{\prime\:}(0)=1
(dy)/(dt)=0.5y,y(2)=100	\frac{dy}{dt}=0.5y,y(2)=100
integral de (x^2)/(x^3-5x)	\int\:\frac{x^{2}}{x^{3}-5x}dx
integral de 3^{csc(x)}csc(x)cot(x)	\int\:3^{\csc(x)}\csc(x)\cot(x)dx
maclaurin 9sin(2x)	maclaurin\:9\sin(2x)
integral de 3cos^3(x)	\int\:3\cos^{3}(x)dx
derivada de (4x^2+8x+6/(sqrt(x)))	\frac{d}{dx}(\frac{4x^{2}+8x+6}{\sqrt{x}})
integral de 0 a 1 de xsqrt(4+9x^2)	\int\:_{0}^{1}x\sqrt{4+9x^{2}}dx
integral de e^{2x}*sin(e^x)	\int\:e^{2x}\cdot\:\sin(e^{x})dx
(\partial)/(\partial x)((5xyz)/(x^2+y^2+z^2))	\frac{\partial\:}{\partial\:x}(\frac{5xyz}{x^{2}+y^{2}+z^{2}})
y^'+2y=10sin(t)	y^{\prime\:}+2y=10\sin(t)
derivative f(x)=3x^2+5	derivative\:f(x)=3x^{2}+5
(\partial)/(\partial t)(cos(3t))	\frac{\partial\:}{\partial\:t}(\cos(3t))
derivative (x^2)/(2(1-x))	derivative\:\frac{x^{2}}{2(1-x)}
tangent f(x)=log_{6}(2x^2+4),\at x=4	tangent\:f(x)=\log_{6}(2x^{2}+4),\at\:x=4
pendiente (-1,-5),(1,-2)	slope\:(-1,-5),(1,-2)
derivative e^t*sin(2t)	derivative\:e^{t}\cdot\:\sin(2t)
límite cuando t tiende a 2 de sin(pi/4 t)	\lim\:_{t\to\:2}(\sin(\frac{π}{4}t))
límite cuando x tiende a 1 de (x^{2n}-2x^n+1)/(x^{2m)-2x^m+1}	\lim\:_{x\to\:1}(\frac{x^{2n}-2x^{n}+1}{x^{2m}-2x^{m}+1})
integral de ((2x^2+3))/(x(x-1)^2)	\int\:\frac{(2x^{2}+3)}{x(x-1)^{2}}dx
integral de (cos(x)+1)^2	\int\:(\cos(x)+1)^{2}dx
(dP)/(dt)=sqrt(Pt),P(1)=2	\frac{dP}{dt}=\sqrt{Pt},P(1)=2
integral de sqrt(2x+x^2)	\int\:\sqrt{2x+x^{2}}dx
derivada de (2x/x)	\frac{d}{dx}(\frac{2x}{x})
área 8\sqrt[3]{x},0,0,27	area\:8\sqrt[3]{x},0,0,27
y^'=x+y,y(0)=8	y^{\prime\:}=x+y,y(0)=8
integral de 0 a pi/4 de tan^4(t)	\int\:_{0}^{\frac{π}{4}}\tan^{4}(t)dt
integral de-1 a 1 de (27)/(x^4)-3	\int\:_{-1}^{1}\frac{27}{x^{4}}-3dx
derivada de a-bx	\frac{d}{dx}(a-bx)
(\partial)/(\partial t)(rcos(x))	\frac{\partial\:}{\partial\:t}(r\cos(x))
y^'=y(100-y)	y^{\prime\:}=y(100-y)
integral de-(sin(x))/(cos^3(x))	\int\:-\frac{\sin(x)}{\cos^{3}(x)}dx
límite cuando x tiende a 0 de (1+5x)^{4/x}	\lim\:_{x\to\:0}((1+5x)^{\frac{4}{x}})
(dy)/(dx)-y/x =3xe^x,y(1)=3e-2	\frac{dy}{dx}-\frac{y}{x}=3xe^{x},y(1)=3e-2
derivative y=-(5t)/((t+8)^2)	derivative\:y=-\frac{5t}{(t+8)^{2}}
integral de (sqrt(x))^3arccos(sqrt(x))	\int\:(\sqrt{x})^{3}\arccos(\sqrt{x})dx
integral de 1/(1+sin(2x))	\int\:\frac{1}{1+\sin(2x)}dx
maclaurin 2/(1+x)	maclaurin\:\frac{2}{1+x}
derivative f(x)=(x^3+2)/(3x)	derivative\:f(x)=\frac{x^{3}+2}{3x}
tangent f(x)= 8/(sqrt(x)),\at x=36	tangent\:f(x)=\frac{8}{\sqrt{x}},\at\:x=36
límite cuando x tiende a 2 de 3x-7	\lim\:_{x\to\:2}(3x-7)
laplacetransformación (-e^t)+1/2 (sin(t))+1/2 (cos(t))	laplacetransform\:(-e^{t})+\frac{1}{2}(\sin(t))+\frac{1}{2}(\cos(t))
límite cuando x tiende a-pi/2 de sec(x)	\lim\:_{x\to\:-\frac{π}{2}}(\sec(x))
derivada de (sin(x+x)^2+7cos(5x))	\frac{d}{dx}((\sin(x)+x)^{2}+7\cos(5x))
tangent-(8x)/(x^2+1)	tangent\:-\frac{8x}{x^{2}+1}
derivada de 2x^{2x}(ln(x+1))	\frac{d}{dx}(2x^{2x}(\ln(x)+1))
derivative 1/(1+2x^2)	derivative\:\frac{1}{1+2x^{2}}
derivada de x^{2/3}*(x-4^2)	\frac{d}{dx}(x^{\frac{2}{3}}\cdot\:(x-4)^{2})
derivada de (x^2/(a^2)+(y^2)/(b^2))	\frac{d}{dx}(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}})
integral de (x(sin(x^2)))(cos^8(x^2))	\int\:(x(\sin(x^{2})))(\cos^{8}(x^{2}))dx
derivada de 81cos(3x)	\frac{d}{dx}(81\cos(3x))
(\partial)/(\partial x)(x^3-6x^2-34x+40)	\frac{\partial\:}{\partial\:x}(x^{3}-6x^{2}-34x+40)
derivative f(x)=sqrt(x)(x-3)	derivative\:f(x)=\sqrt{x}(x-3)
derivada de (3x-1^4(-2x+9)^5)	\frac{d}{dx}((3x-1)^{4}(-2x+9)^{5})
d/(dp)((400)/(p^2))	\frac{d}{dp}(\frac{400}{p^{2}})
integral de (9x^2-6x+5)	\int\:(9x^{2}-6x+5)dx
derivative f(x)= x/(x+c/x)	derivative\:f(x)=\frac{x}{x+\frac{c}{x}}
y^'=(cos^2(x))(cos^2(2y))	y^{\prime\:}=(\cos^{2}(x))(\cos^{2}(2y))
derivada de (3ax^2+x/(2x))	\frac{d}{dx}(\frac{3ax^{2}+x}{2x})
integral de+e^xcos(x)	\int\:+e^{x}\cos(x)dx

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