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Problemas populares Cálculo

(\partial)/(\partial x)(x^2y+zcos(y))	\frac{\partial\:}{\partial\:x}(x^{2}y+z\cos(y))
derivada de ln(1+2x^2)	\frac{d}{dx}(\ln(1+2x^{2}))
y^{'''}-6y^{''}-y^'+6y=0	y^{\prime\:\prime\:\prime\:}-6y^{\prime\:\prime\:}-y^{\prime\:}+6y=0
y^{''}+10y^'+25y=3e^{-5t}	y^{\prime\:\prime\:}+10y^{\prime\:}+25y=3e^{-5t}
integral de-6 a 6 de sqrt(36-x^2)	\int\:_{-6}^{6}\sqrt{36-x^{2}}dx
integral de (sqrt(1+\sqrt{t)})/(sqrt(t))	\int\:\frac{\sqrt{1+\sqrt{t}}}{\sqrt{t}}dt
integral de 9(x+1)^2ln(x+1)	\int\:9(x+1)^{2}\ln(x+1)dx
límite cuando x tiende a-3 de (\|x+3\|)/(x+3)	\lim\:_{x\to\:-3}(\frac{\left\|x+3\right\|}{x+3})
integral de sin^5(5x)	\int\:\sin^{5}(5x)dx
integral de 0 a infinity de 9e^{-x}	\int\:_{0}^{\infty\:}9e^{-x}dx
(\partial)/(\partial x)((x-1)^2+xy+(y-1)^2)	\frac{\partial\:}{\partial\:x}((x-1)^{2}+xy+(y-1)^{2})
integral de 1/(3+x^2)	\int\:\frac{1}{3+x^{2}}dx
límite cuando x tiende a 3 de (x+1)/(x-2)	\lim\:_{x\to\:3}(\frac{x+1}{x-2})
derivada de 14	\frac{d}{dx}(14)
integral de 1 a sqrt(3 de)x	\int\:_{1}^{\sqrt{3}}xdx
(\partial)/(\partial x)(e^{-x}sec(y))	\frac{\partial\:}{\partial\:x}(e^{-x}\sec(y))
integral de 2/(8+2x)	\int\:\frac{2}{8+2x}dx
derivada de 1/(2x+6)	\frac{d}{dx}(\frac{1}{2x+6})
integral de t2^{t+2}	\int\:t2^{t+2}dt
límite cuando n tiende a infinity de (1n)/3	\lim\:_{n\to\:\infty\:}(\frac{1n}{3})
derivative sqrt(8)	derivative\:\sqrt{8}
límite cuando x tiende a 0+de x-sin(x)	\lim\:_{x\to\:0+}(x-\sin(x))
límite cuando x tiende a 0 de ((1+x)^8-1)/x	\lim\:_{x\to\:0}(\frac{(1+x)^{8}-1}{x})
integral de-1 a 1 de sqrt(3)(1-x^2)	\int\:_{-1}^{1}\sqrt{3}(1-x^{2})dx
integral de sec^4(xta)n^4x	\int\:\sec^{4}(xta)n^{4}xdx
límite cuando x tiende a infinity de (3^{x+1})/(3^x)	\lim\:_{x\to\:\infty\:}(\frac{3^{x+1}}{3^{x}})
pendiente (-3,-3),(-5,-2)	slope\:(-3,-3),(-5,-2)
integral de 1/(x^2+10x+50)	\int\:\frac{1}{x^{2}+10x+50}dx
derivative f(x)=(1-5x)/(1+5x)	derivative\:f(x)=\frac{1-5x}{1+5x}
taylor 1-e^{-x}	taylor\:1-e^{-x}
taylor 1/(e^x)	taylor\:\frac{1}{e^{x}}
derivada de 5x^5	\frac{d}{dx}(5x^{5})
límite cuando x tiende a 0 de cot(x)-csc(x)	\lim\:_{x\to\:0}(\cot(x)-\csc(x))
(\partial)/(\partial x)((xy+1)^2)	\frac{\partial\:}{\partial\:x}((xy+1)^{2})
derivada de e^{cot(x^2})	\frac{d}{dx}(e^{\cot(x^{2})})
(dy)/(dx)=(4xy)/(2+x^2)	\frac{dy}{dx}=\frac{4xy}{2+x^{2}}
maclaurin (1+x)^{-4/5}	maclaurin\:(1+x)^{-\frac{4}{5}}
(\partial)/(\partial y)(e^{-y/x})	\frac{\partial\:}{\partial\:y}(e^{-\frac{y}{x}})
(\partial)/(\partial y)(x^{-2}y^{-3})	\frac{\partial\:}{\partial\:y}(x^{-2}y^{-3})
derivative 1/2 xsqrt(25-x^2)	derivative\:\frac{1}{2}x\sqrt{25-x^{2}}
integral de ((3x^3-4x-2)/(x^3))	\int\:(\frac{3x^{3}-4x-2}{x^{3}})dx
tangent f(x)=(6x)/(x^2+1),(1,3)	tangent\:f(x)=\frac{6x}{x^{2}+1},(1,3)
(\partial)/(\partial y)((xy^2)/(z^3))	\frac{\partial\:}{\partial\:y}(\frac{xy^{2}}{z^{3}})
derivada de (e^{2x}/(x^2+1))	\frac{d}{dx}(\frac{e^{2x}}{x^{2}+1})
integral de 0 a 1 de e^x-xe^x	\int\:_{0}^{1}e^{x}-xe^{x}dx
integral de x a 0.5 de 8	\int\:_{x}^{0.5}8dy
derivada de x/((x-1^2))	\frac{d}{dx}(\frac{x}{(x-1)^{2}})
taylor sqrt(1+x),0	taylor\:\sqrt{1+x},0
límite cuando x tiende a 1 de e^{6x^2-6x}	\lim\:_{x\to\:1}(e^{6x^{2}-6x})
derivative (120x^2)/(x^2+4)	derivative\:\frac{120x^{2}}{x^{2}+4}
integral de \sqrt[6]{2}+\sqrt[6]{x}	\int\:\sqrt[6]{2}+\sqrt[6]{x}dx
y^{''}-y=9e^{5t}+6te^{5t}+3t^2e^{5t}	y^{\prime\:\prime\:}-y=9e^{5t}+6te^{5t}+3t^{2}e^{5t}
límite cuando x tiende a 0 de \sqrt[3]{3x}	\lim\:_{x\to\:0}(\sqrt[3]{3x})
derivada de x^2+2/x	\frac{d}{dx}(x^{2}+\frac{2}{x})
integral de (3-e^x)/(e^{5x)}	\int\:\frac{3-e^{x}}{e^{5x}}dx
integral de 3-4/(2x+1)	\int\:3-\frac{4}{2x+1}dx
f(x)=3x^5-4x^4+9x-6	f(x)=3x^{5}-4x^{4}+9x-6
integral de-2 a 2 de 2-x^2	\int\:_{-2}^{2}2-x^{2}dx
tangent (x^2+1)^{x+1}	tangent\:(x^{2}+1)^{x+1}
derivada de x^3+4x-15	\frac{d}{dx}(x^{3}+4x-15)
derivative (x^2-\sqrt[9]{x})7^x	derivative\:(x^{2}-\sqrt[9]{x})7^{x}
derivative f(x)=(3x-2)^5(x+1)^3	derivative\:f(x)=(3x-2)^{5}(x+1)^{3}
y-2y^'+y=0	y-2y^{\prime\:}+y=0
derivada de x^{4cos(x})	\frac{d}{dx}(x^{4\cos(x)})
serie de k=4 a infinity de 3(-1/2)^k	\sum\:_{k=4}^{\infty\:}3(-\frac{1}{2})^{k}
integral de e^{2x}sin(5x)	\int\:e^{2x}\sin(5x)dx
integral de (e^{3x}+2e^x)/(e^{3x)+1}	\int\:\frac{e^{3x}+2e^{x}}{e^{3x}+1}dx
slopeintercept (-2,3),(2,-2)	slopeintercept\:(-2,3),(2,-2)
(dv)/(dt)=v^2+5v+2	\frac{dv}{dt}=v^{2}+5v+2
integral de (6e^{6t})/(9+e^{6t)}	\int\:\frac{6e^{6t}}{9+e^{6t}}dt
(dy}{dx}=\frac{(y+sqrt(x^2+y^2)))/x	\frac{dy}{dx}=\frac{(y+\sqrt{x^{2}+y^{2}})}{x}
derivative (x-2)/(2(x-1)^{3/2)}	derivative\:\frac{x-2}{2(x-1)^{\frac{3}{2}}}
serie de n=1 a infinity de (2n+1)^{-5}	\sum\:_{n=1}^{\infty\:}(2n+1)^{-5}
(\partial)/(\partial x)(ln(1-x^2))	\frac{\partial\:}{\partial\:x}(\ln(1-x^{2}))
límite cuando x tiende a 4-de 2/(x^2-16)	\lim\:_{x\to\:4-}(\frac{2}{x^{2}-16})
maclaurin 3/(1+x-2x^2)	maclaurin\:\frac{3}{1+x-2x^{2}}
integral de cos((piy)/2)	\int\:\cos(\frac{πy}{2})dy
derivada de asin(3x+bcos(3x))	\frac{d}{dx}(a\sin(3x)+b\cos(3x))
maclaurin e^{-4x}	maclaurin\:e^{-4x}
integral de sqrt(5-4x-x^2)	\int\:\sqrt{5-4x-x^{2}}dx
integral de 0 a a de sqrt(a^2-x^2)	\int\:_{0}^{a}\sqrt{a^{2}-x^{2}}dx
(\partial)/(\partial x)(e^{2x^2})	\frac{\partial\:}{\partial\:x}(e^{2x^{2}})
derivative f(x)=sqrt(3x)	derivative\:f(x)=\sqrt{3x}
derivative x^2-5x-1	derivative\:x^{2}-5x-1
derivada de 3xcos(3x)	\frac{d}{dx}(3x\cos(3x))
derivative f(x)=-5cot(x)+3sec(x)	derivative\:f(x)=-5\cot(x)+3\sec(x)
(sin(ln(x)))^'	(\sin(\ln(x)))^{\prime\:}
límite cuando x tiende a-1 de x^2	\lim\:_{x\to\:-1}(x^{2})
integral de 2x^2-1	\int\:2x^{2}-1dx
derivative f(x)=ax^3+bx^2+cx+d	derivative\:f(x)=ax^{3}+bx^{2}+cx+d
integral de (9x+cos(x))	\int\:(9x+\cos(x))dx
límite cuando x tiende a-4 de x-4	\lim\:_{x\to\:-4}(x-4)
derivada de In(x+sqrt(x^2+1))	\frac{d}{dx}(In(x+\sqrt{x^{2}+1}))
derivative 3x^2-7x^3+x^4-5-3x	derivative\:3x^{2}-7x^{3}+x^{4}-5-3x
y^'=((t^2+3y^2))/(2ty)	y^{\prime\:}=\frac{(t^{2}+3y^{2})}{2ty}
serie de n=0 a infinity de (-7/10)^n	\sum\:_{n=0}^{\infty\:}(-\frac{7}{10})^{n}
área 2y=4x-x^2,2y=x-4	area\:2y=4x-x^{2},2y=x-4
derivative f(x)=x^2+4x-3	derivative\:f(x)=x^{2}+4x-3
integral de (cos^2(θ))	\int\:(\cos^{2}(θ))dθ
derivative f(x)=3x^2-2x+3	derivative\:f(x)=3x^{2}-2x+3

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