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Popular Calculus Problems

derivative of-x^3+2x^2+11x+a	\frac{d}{dx}(-x^{3}+2x^{2}+11x+a)
derivative of f(x)=tan(x)sin(6x^3)	derivative\:f(x)=\tan(x)\sin(6x^{3})
derivative of 10^x-10^{-x}	\frac{d}{dx}(10^{x}-10^{-x})
derivative of f(x)=(x^2-2/x)^{-5}	derivative\:f(x)=(x^{2}-\frac{2}{x})^{-5}
limit as x approaches infinity of 13x(e^{1/x})-13x	\lim\:_{x\to\:\infty\:}(13x(e^{\frac{1}{x}})-13x)
y^'=8-y/(200)4,y(0)=50	y^{\prime\:}=8-\frac{y}{200}4,y(0)=50
limit as x approaches pi/4 of sin(2x)	\lim\:_{x\to\:\frac{π}{4}}(\sin(2x))
integral from-1 to 2 of (x^2)/3	\int\:_{-1}^{2}\frac{x^{2}}{3}dx
derivative of (4sin(x)/(5cos(y)))	\frac{d}{dx}(\frac{4\sin(x)}{5\cos(y)})
tangent of f(x)=2x^2-5x+2,\at x=a	tangent\:f(x)=2x^{2}-5x+2,\at\:x=a
x^4+5y^4(sqrt(x^5+4)dy)/(dx)=0,y(0)=1	x^{4}+5y^{4}\frac{\sqrt{x^{5}+4}dy}{dx}=0,y(0)=1
(dy)/(dx)-2xy=0	\frac{dy}{dx}-2xy=0
tangent of ((x-10))/(5x+7)	tangent\:\frac{(x-10)}{5x+7}
tangent of f(x)= 4/x ,(-2,-2)	tangent\:f(x)=\frac{4}{x},(-2,-2)
(dy)/(dx)=1+e^{y-x+3}	\frac{dy}{dx}=1+e^{y-x+3}
integral of ((x+8)/(sqrt(x)))	\int\:(\frac{x+8}{\sqrt{x}})dx
integral from-3 to 3 of (15-x^2)-(x^2-3)	\int\:_{-3}^{3}(15-x^{2})-(x^{2}-3)dx
integral of (-4)/(cos(x)-1)	\int\:\frac{-4}{\cos(x)-1}dx
6(ln(y))y^'-x^3y=0	6(\ln(y))y^{\prime\:}-x^{3}y=0
limit as x approaches pi/2 of 9sec(x)	\lim\:_{x\to\:\frac{π}{2}}(9\sec(x))
limit as x approaches infinity of 1/x-2	\lim\:_{x\to\:\infty\:}(\frac{1}{x}-2)
taylor (x^2+x)/((1-x)^3)	taylor\:\frac{x^{2}+x}{(1-x)^{3}}
integral of (x-2)^2	\int\:(x-2)^{2}dx
(\partial)/(\partial x)((-x^2+3)^2)	\frac{\partial\:}{\partial\:x}((-x^{2}+3)^{2})
limit as x approaches 0+of (e^{-x}-1)/x	\lim\:_{x\to\:0+}(\frac{e^{-x}-1}{x})
limit as x approaches 0+of (x+e^x)^{1/x}	\lim\:_{x\to\:0+}((x+e^{x})^{\frac{1}{x}})
area y=4x^3,y=100x	area\:y=4x^{3},y=100x
integral of (4x+5)^4	\int\:(4x+5)^{4}dx
limit as x approaches mi of x	\lim\:_{x\to\:mi}(x)
integral of ((u-1)^2)/u	\int\:\frac{(u-1)^{2}}{u}du
f(x)=10sqrt(x)	f(x)=10\sqrt{x}
derivative of x^3+3x-6	\frac{d}{dx}(x^{3}+3x-6)
integral of (7-98x)/(sqrt(36-49x^2))	\int\:\frac{7-98x}{\sqrt{36-49x^{2}}}dx
area x=y^2,x=y^3	area\:x=y^{2},x=y^{3}
integral of (x-1)/(x^2+2x+6)	\int\:\frac{x-1}{x^{2}+2x+6}dx
integral of e^{7x-1}	\int\:e^{7x-1}dx
integral of \|1-x\|	\int\:\left\|1-x\right\|dx
derivative of (d/(dx(3))/x)	\frac{d}{dx}(\frac{\frac{d}{dx}(3)}{x})
derivative of 1/(3+2x)	\frac{d}{dx}(\frac{1}{3+2x})
y^'=-xy^3	y^{\prime\:}=-xy^{3}
limit as x approaches 0-of g(x)	\lim\:_{x\to\:0-}(g(x))
integral of x^32^x	\int\:x^{3}2^{x}dx
limit as x approaches 0 of sin(6/x)	\lim\:_{x\to\:0}(\sin(\frac{6}{x}))
(\partial)/(\partial u)(u^2)	\frac{\partial\:}{\partial\:u}(u^{2})
(\partial)/(\partial z)(e^y+xcos(xz))	\frac{\partial\:}{\partial\:z}(e^{y}+x\cos(xz))
derivative of f(x)=(x-5xsqrt(x))	derivative\:f(x)=(x-5x\sqrt{x})
y^'=2x+y,y(0)=6	y^{\prime\:}=2x+y,y(0)=6
area y=x^2+1,y=x+3	area\:y=x^{2}+1,y=x+3
(x+2y)y^'=5x-y	(x+2y)y^{\prime\:}=5x-y
integral of (sin(t))/t	\int\:\frac{\sin(t)}{t}dt
derivative of 4/(1+4x)	\frac{d}{dx}(\frac{4}{1+4x})
integral of x*sec^2(x)	\int\:x\cdot\:\sec^{2}(x)dx
(\partial)/(\partial x)(sqrt((x+4)/(y+1)))	\frac{\partial\:}{\partial\:x}(\sqrt{\frac{x+4}{y+1}})
derivative of (2x/(3y^2))	\frac{d}{dx}(\frac{2x}{3y^{2}})
integral of cos^3(1)	\int\:\cos^{3}(1)dx
derivative of f(x)=(3x+2)(4x^2+3)	derivative\:f(x)=(3x+2)(4x^{2}+3)
(\partial)/(\partial x)(ln(x^3+y^2))	\frac{\partial\:}{\partial\:x}(\ln(x^{3}+y^{2}))
derivative of sec(x/2)	\frac{d}{dx}(\sec(\frac{x}{2}))
laplacetransform 3e^{-2t}cos(4t)	laplacetransform\:3e^{-2t}\cos(4t)
integral of e^{x+y+z}	\int\:e^{x+y+z}dx
integral from 0 to 1 of (7e^x-7xe^{x^2})	\int\:_{0}^{1}(7e^{x}-7xe^{x^{2}})dx
derivative of f(x)=sqrt(3x)ln(19x)	derivative\:f(x)=\sqrt{3x}\ln(19x)
integral of 3x^2cos(2x)	\int\:3x^{2}\cos(2x)dx
(dy)/(dx)-2xy=4x	\frac{dy}{dx}-2xy=4x
integral of 4t^3-8t	\int\:4t^{3}-8tdt
integral from 1 to 2 of x^3	\int\:_{1}^{2}x^{3}dx
derivative of (sqrt(x)-9/(sqrt(x)+9))	\frac{d}{dx}(\frac{\sqrt{x}-9}{\sqrt{x}+9})
slope of (1/2 ,1),(3 3/4 ,3 1/2)	slope\:(\frac{1}{2},1),(3\frac{3}{4},3\frac{1}{2})
ydx+(x+2/y)dy=0	ydx+(x+\frac{2}{y})dy=0
derivative of sin(\sqrt[3]{x}cos(\sqrt[3]{x}))	\frac{d}{dx}(\sin(\sqrt[3]{x})\cos(\sqrt[3]{x}))
integral from 1 to 4 of sqrt(1+9x)	\int\:_{1}^{4}\sqrt{1+9x}dx
dx+e^{7x}dy=0	dx+e^{7x}dy=0
y^{''}+4y=x^2sin(2x)	y^{\prime\:\prime\:}+4y=x^{2}\sin(2x)
integral of (e^{-x}+e^x)^2	\int\:(e^{-x}+e^{x})^{2}dx
integral of 10sin^3(xco)s^5x	\int\:10\sin^{3}(xco)s^{5}xdx
inverse oflaplace 1/(s^2-9)	inverselaplace\:\frac{1}{s^{2}-9}
derivative of (2x-4)^4(x^2+x+1)^5	derivative\:(2x-4)^{4}(x^{2}+x+1)^{5}
integral of (6x^2)/(x^3-1)	\int\:\frac{6x^{2}}{x^{3}-1}dx
inverse oflaplace 3s	inverselaplace\:3s
derivative of y=sqrt(7x+5)	derivative\:y=\sqrt{7x+5}
derivative of 9(x^3-x)^4	derivative\:9(x^{3}-x)^{4}
(\partial)/(\partial x)(5sin(2(5x+6y)))	\frac{\partial\:}{\partial\:x}(5\sin(2(5x+6y)))
integral of x^2*sqrt(x^3+1)	\int\:x^{2}\cdot\:\sqrt{x^{3}+1}dx
limit as x approaches 2 of (x^3-1)/(x-1)	\lim\:_{x\to\:2}(\frac{x^{3}-1}{x-1})
derivative of sqrt(1+ln(x))	\frac{d}{dx}(\sqrt{1+\ln(x)})
limit as n approaches infinity of r^n	\lim\:_{n\to\:\infty\:}(r^{n})
limit as x approaches 0 of x^4cos(8/x)	\lim\:_{x\to\:0}(x^{4}\cos(\frac{8}{x}))
integral from-2 to 32 of 1/(sqrt(\|2x\|))	\int\:_{-2}^{32}\frac{1}{\sqrt{\left\|2x\right\|}}dx
laplacetransform t*e^{,\at}	laplacetransform\:t\cdot\:e^{,\at\:}
y^'-2y=4e^{4t}	y^{\prime\:}-2y=4e^{4t}
(\partial)/(\partial x)(ln(xz)+yln(x)-x^2+4)	\frac{\partial\:}{\partial\:x}(\ln(xz)+y\ln(x)-x^{2}+4)
integral of (x^3+1)sin(x)	\int\:(x^{3}+1)\sin(x)dx
integral of x(3x-2)^2	\int\:x(3x-2)^{2}dx
derivative of f(x)=(x^2+3x)/6	derivative\:f(x)=\frac{x^{2}+3x}{6}
integral of (6x^6-6x^5-4x^3+2)	\int\:(6x^{6}-6x^{5}-4x^{3}+2)dx
taylor ln(cos(x)),0	taylor\:\ln(\cos(x)),0
derivative of 9/(x^2+5)	\frac{d}{dx}(\frac{9}{x^{2}+5})
derivative of (x+5^{2/3})	\frac{d}{dx}((x+5)^{\frac{2}{3}})
(dy)/(dx)=(x+y-2)^2	\frac{dy}{dx}=(x+y-2)^{2}
derivative of y= C/x	derivative\:y=\frac{C}{x}

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