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Problemas populares Cálculo

derivative (16x)/(x^2+16)	derivative\:\frac{16x}{x^{2}+16}
derivative 7x^2e^x	derivative\:7x^{2}e^{x}
tangent f(x)=-4(2x+7)^{-5}(2),\at x=2	tangent\:f(x)=-4(2x+7)^{-5}(2),\at\:x=2
integral de 1/(xsqrt(4x+9))	\int\:\frac{1}{x\sqrt{4x+9}}dx
derivative cos^5(x)	derivative\:\cos^{5}(x)
límite cuando x tiende a 0 de (sqrt(x)-1)/(\sqrt[3]{x)-1}	\lim\:_{x\to\:0}(\frac{\sqrt{x}-1}{\sqrt[3]{x}-1})
derivada de 7/3 x^3-2x^2+10	\frac{d}{dx}(\frac{7}{3}x^{3}-2x^{2}+10)
integral de (12x+30)/((x^2+2x-8))	\int\:\frac{12x+30}{(x^{2}+2x-8)}dx
(\partial)/(\partial y)(x^3+3x^2y-y^4)	\frac{\partial\:}{\partial\:y}(x^{3}+3x^{2}y-y^{4})
y^{''}-0.2y^'+0.01y=0,y(0)=15,y^'(0)=b	y^{\prime\:\prime\:}-0.2y^{\prime\:}+0.01y=0,y(0)=15,y^{\prime\:}(0)=b
xdy-(2x+1)e^{-y}dx=0	xdy-(2x+1)e^{-y}dx=0
integral de 1/((3x-1))	\int\:\frac{1}{(3x-1)}dx
(\partial)/(\partial x)(2cos(3x))	\frac{\partial\:}{\partial\:x}(2\cos(3x))
(dy)/(dx)+y^5x+4y=0	\frac{dy}{dx}+y^{5}x+4y=0
integral de 0 a 2 de x^2e^{-x}	\int\:_{0}^{2}x^{2}e^{-x}dx
integral de-2^x	\int\:-2^{x}dx
desarrollar (x^3+1)(x^2+x+1)	expand\:(x^{3}+1)(x^{2}+x+1)
derivada de 5/(3x^2)	\frac{d}{dx}(\frac{5}{3x^{2}})
límite cuando x tiende a 0+de (tan(4x))^x	\lim\:_{x\to\:0+}((\tan(4x))^{x})
derivative (x^2+2x-4)/((x+1)^2)	derivative\:\frac{x^{2}+2x-4}{(x+1)^{2}}
integral de-x^7*e^{x^8-7}-2x	\int\:-x^{7}\cdot\:e^{x^{8}-7}-2xdx
integral de 14xe^{7x}	\int\:14xe^{7x}dx
límite cuando x tiende a 3 de \| 3/(x^2-9)\|	\lim\:_{x\to\:3}(\left\|\frac{3}{x^{2}-9}\right\|)
f(θ)=4tan(θ)	f(θ)=4\tan(θ)
derivada de 2cos(x-cos(2x))	\frac{d}{dx}(2\cos(x)-\cos(2x))
yln(x)(dy}{dx}=(\frac{y+1)/x)^2	y\cdot\:\ln(x)\cdot\:\frac{dy}{dx}=(\frac{y+1}{x})^{2}
tangent y=7x+9cos(x),(0,9)	tangent\:y=7x+9\cos(x),(0,9)
integral de (x+7)/(x^2+4)	\int\:\frac{x+7}{x^{2}+4}dx
(\partial)/(\partial t)(stu^2)	\frac{\partial\:}{\partial\:t}(stu^{2})
derivada de x/(x+8)	\frac{d}{dx}(\frac{x}{x+8})
integral de (ln(x))/(xsqrt(1+ln(x^2)))	\int\:\frac{\ln(x)}{x\sqrt{1+\ln(x^{2})}}dx
derivative y=ln(xsqrt(x^2-1))	derivative\:y=\ln(x\sqrt{x^{2}-1})
(dy)/(dx)=2y-4	\frac{dy}{dx}=2y-4
derivada de 8x^3-8	\frac{d}{dx}(8x^{3}-8)
derivative 5cot(x)	derivative\:5\cot(x)
límite cuando x tiende a-2 de 3x^4	\lim\:_{x\to\:-2}(3x^{4})
laplacetransform 2(1-e^{-2t})	laplacetransform\:2(1-e^{-2t})
derivative log_{e}(log_{e}(x))	derivative\:\log_{e}(\log_{e}(x))
tangent f(x)=x^4+5x^2-x,\at x=1	tangent\:f(x)=x^{4}+5x^{2}-x,\at\:x=1
derivada de (1-4x/(1+4x))	\frac{d}{dx}(\frac{1-4x}{1+4x})
integral de ln(cos(x))*tan(x)	\int\:\ln(\cos(x))\cdot\:\tan(x)dx
derivada de 4/x-x(x+1)	\frac{d}{dx}(\frac{4}{x}-x(x+1))
serie de n=0 a infinity de (-8/9)^n	\sum\:_{n=0}^{\infty\:}(-\frac{8}{9})^{n}
x^'=kx(t)	x^{\prime\:}=kx(t)
integral de sqrt(x^2+2x-3)	\int\:\sqrt{x^{2}+2x-3}dx
límite cuando x tiende a-2 de x^2+3	\lim\:_{x\to\:-2}(x^{2}+3)
tangent f(x)=-2cos(x),\at x= pi/4	tangent\:f(x)=-2\cos(x),\at\:x=\frac{π}{4}
derivada de e^x+xe^x-1	\frac{d}{dx}(e^{x}+xe^{x}-1)
ydx-(2y^4+2x)dy=0	ydx-(2y^{4}+2x)dy=0
pendiente x^4-8x^2+2	slope\:x^{4}-8x^{2}+2
límite cuando x tiende a infinity de ln(8)	\lim\:_{x\to\:\infty\:}(\ln(8))
límite cuando x tiende a 1 de-(x^2-1)/(x-1)	\lim\:_{x\to\:1}(-\frac{x^{2}-1}{x-1})
integral de 1/(xsqrt(4x^4-1))	\int\:\frac{1}{x\sqrt{4x^{4}-1}}dx
integral de-2 a 1 de (-x^2-x+2)	\int\:_{-2}^{1}(-x^{2}-x+2)dx
integral de 3sqrt(25-x)	\int\:3\sqrt{25-x}dx
integral de-2 a 0 de (7x^2+7x)	\int\:_{-2}^{0}(7x^{2}+7x)dx
integral de 2sin(t)	\int\:2\sin(t)dt
límite cuando h tiende a 0 de ((x+h)^{2/3}-(x^{2/3}))/h	\lim\:_{h\to\:0}(\frac{(x+h)^{\frac{2}{3}}-(x^{\frac{2}{3}})}{h})
integral de b a 2b de x^5	\int\:_{b}^{2b}x^{5}dx
integral de ((x^2+1)/(sqrt(x)))	\int\:(\frac{x^{2}+1}{\sqrt{x}})dx
x^2y^{''}-7xy^'+16y=0	x^{2}y^{\prime\:\prime\:}-7xy^{\prime\:}+16y=0
área y=-3x^3+x^2+10x,x>= 0	area\:y=-3x^{3}+x^{2}+10x,x\ge\:0
y^{''}-2y^'-3y=xe^x	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=xe^{x}
derivative e^{4/5 x}	derivative\:e^{\frac{4}{5}x}
derivada de sqrt(x+1)-2	\frac{d}{dx}(\sqrt{x+1}-2)
derivada de (e^{4x^{2+1}}/8)	\frac{d}{dx}(\frac{e^{4x^{2+1}}}{8})
derivada de {f}(x(x)^{-1})	\frac{d}{dx}({f}(x)(x)^{-1})
(x(dy)/(dx)+y)(2(x+xy))=xy	(x\frac{dy}{dx}+y)(2(x+xy))=xy
(xy^')/(y-2)=y^2-y	\frac{xy^{\prime\:}}{y-2}=y^{2}-y
tangent f(x)=(-6x)/(x^2+1),(1,-3)	tangent\:f(x)=\frac{-6x}{x^{2}+1},(1,-3)
área y=-x^2+16,y=-1/4 x-1,4(y+2.3)=2.3x	area\:y=-x^{2}+16,y=-\frac{1}{4}x-1,4(y+2.3)=2.3x
integral de (22x^2)/(x^4-61x^2+900)	\int\:\frac{22x^{2}}{x^{4}-61x^{2}+900}dx
límite cuando x tiende a 7 de (7-x)/(7-x)	\lim\:_{x\to\:7}(\frac{7-x}{7-x})
límite cuando x tiende a 6 de-110	\lim\:_{x\to\:6}(-110)
integral de (x^4)/(x^5-4)	\int\:\frac{x^{4}}{x^{5}-4}dx
derivada de 4/3 pi*x^3	\frac{d}{dx}(\frac{4}{3}π\cdot\:x^{3})
integral de-1 a 9 de (9-x^2+8x)	\int\:_{-1}^{9}(9-x^{2}+8x)dx
integral de x/(sqrt(49+x^4))	\int\:\frac{x}{\sqrt{49+x^{4}}}dx
derivative 2/t-4/(t^2)	derivative\:\frac{2}{t}-\frac{4}{t^{2}}
integral de 0 a 5 de 40e^{-0.3t}	\int\:_{0}^{5}40e^{-0.3t}dt
y^'=7xe^y,y(0)=0	y^{\prime\:}=7xe^{y},y(0)=0
límite cuando x tiende a 0 de (a^x-1)/(2x)	\lim\:_{x\to\:0}(\frac{a^{x}-1}{2x})
límite cuando x tiende a-infinity de 4x^3	\lim\:_{x\to\:-\infty\:}(4x^{3})
límite cuando x tiende a 0 de 8/(x+2)	\lim\:_{x\to\:0}(\frac{8}{x+2})
(\partial)/(\partial x)(sqrt(x^2+y^2+2))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+y^{2}+2})
derivative 1/(sqrt(b-mt))	derivative\:\frac{1}{\sqrt{b-mt}}
serie de n=5 a infinity de cos(1/(n^3))	\sum\:_{n=5}^{\infty\:}\cos(\frac{1}{n^{3}})
partialfraction (x^2)/(x^2-1)	partialfraction\:\frac{x^{2}}{x^{2}-1}
derivative f(x)=(375)/(x^4)	derivative\:f(x)=\frac{375}{x^{4}}
derivada de 10sqrt(x+5)	\frac{d}{dx}(10\sqrt{x+5})
integral de 3x^2e^{-x^3}	\int\:3x^{2}e^{-x^{3}}dx
derivada de x^2+4x+7	\frac{d}{dx}(x^{2}+4x+7)
derivada de \sqrt[3]{x^2+6}	\frac{d}{dx}(\sqrt[3]{x^{2}+6})
derivada de 2ysin(x-x^3+ln(y))	\frac{d}{dx}(2y\sin(x)-x^{3}+\ln(y))
integral de-1 a 1 de e^{-x}	\int\:_{-1}^{1}e^{-x}dx
tangent 5/(sqrt(x)),\at m	tangent\:\frac{5}{\sqrt{x}},\at\:m
serie de n=0 a infinity de (((-1)^n)/(2^n))x^{2n}	\sum\:_{n=0}^{\infty\:}(\frac{(-1)^{n}}{2^{n}})x^{2n}
(dy)/(dx)=x(x-2)	\frac{dy}{dx}=x(x-2)
derivative ln(\sqrt[6]{x})	derivative\:\ln(\sqrt[6]{x})
(x+y+4dx)+(2x+2y+1dy)=0	(x+y+4dx)+(2x+2y+1dy)=0

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