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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial y)(xy^{1/2})	\frac{\partial\:}{\partial\:y}(xy^{\frac{1}{2}})
derivada de (3-x^2(x^3-5x+2))	\frac{d}{dx}((3-x^{2})(x^{3}-5x+2))
(dx)/(dt)=tx-2x+t-2	\frac{dx}{dt}=tx-2x+t-2
integral de x/(sqrt(4+9x^2))	\int\:\frac{x}{\sqrt{4+9x^{2}}}dx
límite cuando x tiende a 0 de (1-cot(x))/(1/x)	\lim\:_{x\to\:0}(\frac{1-\cot(x)}{\frac{1}{x}})
derivative 5+x^2	derivative\:5+x^{2}
(\partial)/(\partial x)(2y-x^2)	\frac{\partial\:}{\partial\:x}(2y-x^{2})
derivada de ((x^2-5x)/(x+1))	\frac{d}{dx}(\frac{(x^{2}-5x)}{x+1})
integral de sqrt((x+5)/(5-x))	\int\:\sqrt{\frac{x+5}{5-x}}dx
derivada de (5x^3-8^{10})	\frac{d}{dx}((5x^{3}-8)^{10})
límite cuando x tiende a 6-de 5	\lim\:_{x\to\:6-}(5)
y^{''}+y^'-2y=2t,y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}+y^{\prime\:}-2y=2t,y(0)=0,y^{\prime\:}(0)=1
y^'=(y^2-y)/x ,y(1)=-2	y^{\prime\:}=\frac{y^{2}-y}{x},y(1)=-2
integral de 6x^5	\int\:6x^{5}dx
derivada de (7x^2/(4e^x-x))	\frac{d}{dx}(\frac{7x^{2}}{4e^{x}-x})
(\partial)/(\partial y)(e^{xyz^3}yz^3)	\frac{\partial\:}{\partial\:y}(e^{xyz^{3}}yz^{3})
derivative y=-1/4 x+5	derivative\:y=-\frac{1}{4}x+5
tangent f(x)=3cos(x),\at x= pi/4	tangent\:f(x)=3\cos(x),\at\:x=\frac{π}{4}
integral de 4cos^3(4x)*sin(4x)	\int\:4\cos^{3}(4x)\cdot\:\sin(4x)dx
((x^2+1)dy)/(dx)+9x(y-1)=0	\frac{(x^{2}+1)dy}{dx}+9x(y-1)=0
derivada de tan^2(x-1)	\frac{d}{dx}(\tan^{2}(x)-1)
integral de 6/(x^2sqrt(x^2-9))	\int\:\frac{6}{x^{2}\sqrt{x^{2}-9}}dx
derivada de 5^{x-2}	\frac{d}{dx}(5^{x-2})
tangent f(x)=2x^3+9x^2-60x+4	tangent\:f(x)=2x^{3}+9x^{2}-60x+4
derivada de ((2x^2+8x+6)/(sqrt(x)))	\frac{d}{dx}(\frac{(2x^{2}+8x+6)}{\sqrt{x}})
derivative cos((1-e^{3x})/(1+e^{3x)})	derivative\:\cos(\frac{1-e^{3x}}{1+e^{3x}})
(\partial)/(\partial x)(2xy^3-4x^2y^2)	\frac{\partial\:}{\partial\:x}(2xy^{3}-4x^{2}y^{2})
pendiente x^{1/2}+y^{1/2}=4	slope\:x^{\frac{1}{2}}+y^{\frac{1}{2}}=4
derivative f(x)=arcsin(4x)	derivative\:f(x)=\arcsin(4x)
tangent f(x)=-6x^2-10x,\at x=1	tangent\:f(x)=-6x^{2}-10x,\at\:x=1
derivative (t^2+1)/(t^2-1)	derivative\:\frac{t^{2}+1}{t^{2}-1}
derivative y=x(2x+3)^5	derivative\:y=x(2x+3)^{5}
(\partial)/(\partial x)(arcsin(x-y))	\frac{\partial\:}{\partial\:x}(\arcsin(x-y))
integral de (x^n)	\int\:(x^{n})dx
taylor xe^{-x^2}	taylor\:xe^{-x^{2}}
y^'=-1/2 y+x	y^{\prime\:}=-\frac{1}{2}y+x
integral de 0 a 2 de pi((x-1)^2)^2	\int\:_{0}^{2}π((x-1)^{2})^{2}dx
derivative y=b^2(a-x)3	derivative\:y=b^{2}(a-x)3
y^{''}-30y^'+255y=0	y^{\prime\:\prime\:}-30y^{\prime\:}+255y=0
derivada de (2x-x^2^{1/2})	\frac{d}{dx}((2x-x^{2})^{\frac{1}{2}})
(\partial)/(\partial x)(((x-y))/((x+y)))	\frac{\partial\:}{\partial\:x}(\frac{(x-y)}{(x+y)})
(\partial)/(\partial x)(e^{x+y+3})	\frac{\partial\:}{\partial\:x}(e^{x+y+3})
((x^3)/3)^'	(\frac{x^{3}}{3})^{\prime\:}
y^'=(x+1)(3y-1)2	y^{\prime\:}=(x+1)(3y-1)2
derivada de (8x+x^2/((4+x)^2))	\frac{d}{dx}(\frac{8x+x^{2}}{(4+x)^{2}})
derivative f(x)=13x^3(x^2-3)	derivative\:f(x)=13x^{3}(x^{2}-3)
tangent y= x/(sqrt(81+x^2)),(0,0)	tangent\:y=\frac{x}{\sqrt{81+x^{2}}},(0,0)
integral de (14)/(x(x^2+25))	\int\:\frac{14}{x(x^{2}+25)}dx
y^{''}-4y^'-5y=0	y^{\prime\:\prime\:}-4y^{\prime\:}-5y=0
área x+y^2=42,x=y	area\:x+y^{2}=42,x=y
tangent f(x)=sqrt(x-2),\at x=6	tangent\:f(x)=\sqrt{x-2},\at\:x=6
(d^2)/(dx^2)(8/(9t^5))	\frac{d^{2}}{dx^{2}}(\frac{8}{9t^{5}})
área y=4cos(x),y=6-2cos(x),0<= x<= 2pi	area\:y=4\cos(x),y=6-2\cos(x),0\le\:x\le\:2π
(dy)/(dx)=(cos(8x))/(e^{8y)},y(0)=1	\frac{dy}{dx}=\frac{\cos(8x)}{e^{8y}},y(0)=1
tangent f(x)=sqrt(x),\at x=49	tangent\:f(x)=\sqrt{x},\at\:x=49
derivative (e^x)/(sqrt(x))	derivative\:\frac{e^{x}}{\sqrt{x}}
(dy)/(dx)=1+2/((y-x)e^{3(y-x))}	\frac{dy}{dx}=1+\frac{2}{(y-x)e^{3(y-x)}}
límite cuando x tiende a 1 de ln(3)+e^x	\lim\:_{x\to\:1}(\ln(3)+e^{x})
derivada de ln(4x-2y+6)	\frac{d}{dx}(\ln(4x-2y+6))
y^{''}+9y=3sin(2x)	y^{\prime\:\prime\:}+9y=3\sin(2x)
límite cuando x tiende a 4-de 2	\lim\:_{x\to\:4-}(2)
y^{''}+2y^'=8	y^{\prime\:\prime\:}+2y^{\prime\:}=8
y^'=-y/(2000)4,y(0)=70	y^{\prime\:}=-\frac{y}{2000}4,y(0)=70
integral de 0 a pi/8 de x(sec(2x))^2	\int\:_{0}^{\frac{π}{8}}x(\sec(2x))^{2}dx
derivada de (2x^2-1/(x^{3-x)})	\frac{d}{dx}(\frac{2x^{2}-1}{x^{3-x}})
derivada de-11(3^{x-4})	\frac{d}{dx}(-11(3)^{x-4})
integral de arctan(9t)	\int\:\arctan(9t)dt
(dy)/(dx)+y^7x+6y=0	\frac{dy}{dx}+y^{7}x+6y=0
pendienteintercept (-1,1),(2,-11)	slopeintercept\:(-1,1),(2,-11)
derivada de e^{x^4}+log_{3}(pi)	\frac{d}{dx}(e^{x^{4}}+\log_{3}(π))
límite cuando x tiende a-2 de x^2-2x+4	\lim\:_{x\to\:-2}(x^{2}-2x+4)
(\partial)/(\partial x)(y(2-x-y))	\frac{\partial\:}{\partial\:x}(y(2-x-y))
integral de 1/3 \sqrt[3]{x}	\int\:\frac{1}{3}\sqrt[3]{x}dx
(\partial)/(\partial z)(5z)	\frac{\partial\:}{\partial\:z}(5z)
tangent f(x)=2x^3,\at x=-2	tangent\:f(x)=2x^{3},\at\:x=-2
integral de 1/(xsqrt(64x^2-2))	\int\:\frac{1}{x\sqrt{64x^{2}-2}}dx
integral de 1/(sqrt(x^2+16))	\int\:\frac{1}{\sqrt{x^{2}+16}}dx
derivative e^{e^x}	derivative\:e^{e^{x}}
integral de 0 a pi/4 de sec^4(x)	\int\:_{0}^{\frac{π}{4}}\sec^{4}(x)dx
simplificar ln\|3x^3\|*sec^3({5x+4})	simplify\:\ln\left\|3x^{3}\right\|\cdot\:\sec^{3}(\left\{5x+4\right\})
integral de (x+3)/(sqrt(x^2+2x))	\int\:\frac{x+3}{\sqrt{x^{2}+2x}}dx
(\partial)/(\partial x)(2x^3y)	\frac{\partial\:}{\partial\:x}(2x^{3}y)
y^'=-2y	y^{\prime\:}=-2y
tangent f(x)=(x^2-1)^2,(-2,9)	tangent\:f(x)=(x^{2}-1)^{2},(-2,9)
(\partial)/(\partial x)(yx^{y-1})	\frac{\partial\:}{\partial\:x}(yx^{y-1})
derivative (6x^2+8x+8)/(sqrt(x))	derivative\:\frac{6x^{2}+8x+8}{\sqrt{x}}
(\partial)/(\partial x)(3sin^2(x))	\frac{\partial\:}{\partial\:x}(3\sin^{2}(x))
integral de 3sin^3(2xco)s^32x	\int\:3\sin^{3}(2xco)s^{3}2xdx
integral de (2x-4)(x^2-4x+3)^5	\int\:(2x-4)(x^{2}-4x+3)^{5}dx
derivative 3x^2+10x-26	derivative\:3x^{2}+10x-26
derivative x/(8x+7)	derivative\:\frac{x}{8x+7}
derivative f(x)=(10x)/(x^2-6)	derivative\:f(x)=\frac{10x}{x^{2}-6}
derivada de (4x^2-13^{-12})	\frac{d}{dx}((4x^{2}-13)^{-12})
integral de 1/(\sqrt[4]{x^3)}	\int\:\frac{1}{\sqrt[4]{x^{3}}}dx
derivada de ax+bx+cx+2t(a+b+cz(x,t))	\frac{d}{dx}(ax+bx+cx+2t(a+b+c)z(x,t))
(\partial)/(\partial x)(ax+by)	\frac{\partial\:}{\partial\:x}(ax+by)
integral de e^{-x}cos(e^{-x})	\int\:e^{-x}\cos(e^{-x})dx
integral de 3xcos(x^2)	\int\:3x\cos(x^{2})dx
integral de 1/(sqrt(t^2-2t+17))	\int\:\frac{1}{\sqrt{t^{2}-2t+17}}dt
(\partial)/(\partial x)(7xy-3x^2y)	\frac{\partial\:}{\partial\:x}(7xy-3x^{2}y)

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