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f^'(x)=6x^2	f^{\prime\:}(x)=6x^{2}
derivative of f(2)=5-2x	derivative\:f(2)=5-2x
derivative of (ln(x+1)/x)	\frac{d}{dx}(\frac{\ln(x+1)}{x})
simplify x^2*e^{-4x}	simplify\:x^{2}\cdot\:e^{-4x}
sum from n=1 to infinity of (2^n)/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{2^{n}}{4^{n}}
limit as x approaches 0 of (1-cos(3x))/(1-cos(7x))	\lim\:_{x\to\:0}(\frac{1-\cos(3x)}{1-\cos(7x)})
limit as x approaches 3+of x^2-9	\lim\:_{x\to\:3+}(x^{2}-9)
derivative of ln(sqrt(((x-3)/(x-2))))	\frac{d}{dx}(\ln(\sqrt{\frac{(x-3)}{x-2}}))
derivative of (5sqrt(x)/(x^3))	\frac{d}{dx}(\frac{5\sqrt{x}}{x^{3}})
limit as (x,y) approaches (0,2) of x^3y	\lim\:_{(x,y)\to\:(0,2)}(x^{3}y)
derivative of sqrt(x-84)	derivative\:\sqrt{x-84}
derivative of 40x	\frac{d}{dx}(40x)
integral of xsec^2(8x)	\int\:x\sec^{2}(8x)dx
limit as x approaches 0 of (1-(x))^{1/x}	\lim\:_{x\to\:0}((1-(x))^{\frac{1}{x}})
derivative of (8x^2+1)/(x^2+7)	derivative\:\frac{8x^{2}+1}{x^{2}+7}
limit as x approaches 2-of e^{3/(2-x)}	\lim\:_{x\to\:2-}(e^{\frac{3}{2-x}})
derivative of y^2=16x	\frac{d}{dx}(y^{2})=16x
derivative of e^x-sin(x-1)	\frac{d}{dx}(e^{x}-\sin(x)-1)
derivative of-(2x/(5(x^2+1)^2))	\frac{d}{dx}(-\frac{2x}{5(x^{2}+1)^{2}})
limit as x approaches-infinity of A(x)	\lim\:_{x\to\:-\infty\:}(A(x))
(2x+y+1)(dy)/(dx)=1	(2x+y+1)\frac{dy}{dx}=1
derivative of (x^2+x+1e^{-x})	\frac{d}{dx}((x^{2}+x+1)e^{-x})
limit as n approaches infinity of 2	\lim\:_{n\to\:\infty\:}(2)
integral of 6sin^3(xco)s^5x	\int\:6\sin^{3}(xco)s^{5}xdx
derivative of ((x^2)/((1+x)))	\frac{d}{dx}(\frac{(x^{2})}{(1+x)})
derivative of 2x(x+3)^2	derivative\:2x(x+3)^{2}
d/(dy)((2y)/(x^2+y^2))	\frac{d}{dy}(\frac{2y}{x^{2}+y^{2}})
(dP)/(dt)=P+a	\frac{dP}{dt}=P+a
area 5-4x, 1/x	area\:5-4x,\frac{1}{x}
derivative of (3x-8)/(7x+4)	derivative\:\frac{3x-8}{7x+4}
y^'-4/x y=(y^3)/(x^5),y(1)=1	y^{\prime\:}-\frac{4}{x}y=\frac{y^{3}}{x^{5}},y(1)=1
slope of (1.1)(2.5)	slope\:(1.1)(2.5)
sum from n=1 to infinity of (3e^n)/(n^5)	\sum\:_{n=1}^{\infty\:}\frac{3e^{n}}{n^{5}}
(\partial)/(\partial x)((1-3xy)e^{-xy})	\frac{\partial\:}{\partial\:x}((1-3xy)e^{-xy})
integral of (5^x-sec^2(x))	\int\:(5^{x}-\sec^{2}(x))dx
(\partial)/(\partial y)(sin(3x+yz))	\frac{\partial\:}{\partial\:y}(\sin(3x+yz))
(\partial)/(\partial x)(tan(3x+4y))	\frac{\partial\:}{\partial\:x}(\tan(3x+4y))
derivative of (x^2)/(x+10)	derivative\:\frac{x^{2}}{x+10}
e^x(dx)/(dt)=3t^2	e^{x}\frac{dx}{dt}=3t^{2}
derivative of ((3x^2-6)(x^2-2))/(x^2+4)	derivative\:\frac{(3x^{2}-6)(x^{2}-2)}{x^{2}+4}
(\partial)/(\partial x)(2y)	\frac{\partial\:}{\partial\:x}(2y)
derivative of (2x/((x^2+1)^2))	\frac{d}{dx}(\frac{2x}{(x^{2}+1)^{2}})
limit as x approaches infinity of g(x)	\lim\:_{x\to\:\infty\:}(g(x))
derivative of (x^2+1/(x^2+4))	\frac{d}{dx}(\frac{x^{2}+1}{x^{2}+4})
x(dv)/(dx)=(-v(1+v^2))/(1-v^2)	x\frac{dv}{dx}=\frac{-v(1+v^{2})}{1-v^{2}}
integral of 5^xsin(5^x)	\int\:5^{x}\sin(5^{x})dx
integral of x/((6-x^2)^2)	\int\:\frac{x}{(6-x^{2})^{2}}dx
derivative of tan(arcsin(x))	\frac{d}{dx}(\tan(\arcsin(x)))
area f(x)=12x-x^2-x^3,g(x)=0	area\:f(x)=12x-x^{2}-x^{3},g(x)=0
derivative of 6xsin(x)	\frac{d}{dx}(6x\sin(x))
normal of y=4x^2,(-2,16)	normal\:y=4x^{2},(-2,16)
(\partial)/(\partial x)(8xcos(3xy))	\frac{\partial\:}{\partial\:x}(8x\cos(3xy))
integral of 3/(x^2)-1	\int\:\frac{3}{x^{2}}-1dx
integral of sqrt(3+2x-x^2)	\int\:\sqrt{3+2x-x^{2}}dx
derivative of 2/(1+2x)	derivative\:\frac{2}{1+2x}
integral of (2+3x)/(1+x^2)	\int\:\frac{2+3x}{1+x^{2}}dx
integral from 1 to 6 of x	\int\:_{1}^{6}xdx
integral from 4 to 8 of x/(x^2-2x-3)	\int\:_{4}^{8}\frac{x}{x^{2}-2x-3}dx
derivative of f(x)=sqrt(2)x+sqrt(5x)	derivative\:f(x)=\sqrt{2}x+\sqrt{5x}
derivative of f(x)=(10^x)/(ln(10))	derivative\:f(x)=\frac{10^{x}}{\ln(10)}
integral from 0 to 8 of 8x-x^2	\int\:_{0}^{8}8x-x^{2}dx
normal of y=x^5-2x-1,\at x=2	normal\:y=x^{5}-2x-1,\at\:x=2
derivative of 3sqrt(4-y)	derivative\:3\sqrt{4-y}
(\partial)/(\partial x)(e^{x*ln(y)})	\frac{\partial\:}{\partial\:x}(e^{x\cdot\:\ln(y)})
sum from n=1 to infinity of (1/5)^{n+2}	\sum\:_{n=1}^{\infty\:}(\frac{1}{5})^{n+2}
derivative of x^2e^{-4x}	\frac{d}{dx}(x^{2}e^{-4x})
derivative of sqrt(x^9)	derivative\:\sqrt{x^{9}}
derivative of x+2x^{1/3}	\frac{d}{dx}(x+2x^{\frac{1}{3}})
integral of (cos(pi/(x^{43)}))/(x^{44)}	\int\:\frac{\cos(\frac{π}{x^{43}})}{x^{44}}dx
derivative of x^3(4x^2-5x-6)	\frac{d}{dx}(x^{3}(4x^{2}-5x-6))
laplacetransform 2(1-e^{-5t})	laplacetransform\:2(1-e^{-5t})
limit as x approaches 2 of 2x^2-8	\lim\:_{x\to\:2}(2x^{2}-8)
((x^2-4)dy)/(dx)+4y=(x+2)^2	\frac{(x^{2}-4)dy}{dx}+4y=(x+2)^{2}
area-x^2+5,x^2-10x+17,2,3	area\:-x^{2}+5,x^{2}-10x+17,2,3
derivative of f(x)= 1/((x^6-7/x)^2)	derivative\:f(x)=\frac{1}{(x^{6}-\frac{7}{x})^{2}}
derivative of-4/((4x-17)^{3/2)}	derivative\:-\frac{4}{(4x-17)^{\frac{3}{2}}}
(\partial)/(\partial x)(ln(4x+y))	\frac{\partial\:}{\partial\:x}(\ln(4x+y))
sum from n=0 to infinity of e^{-2nab}	\sum\:_{n=0}^{\infty\:}e^{-2nab}
sum from n=1 to infinity of 1/(3n+5)	\sum\:_{n=1}^{\infty\:}\frac{1}{3n+5}
integral of 1/(y-x)	\int\:\frac{1}{y-x}dx
sum from n=1 to infinity of 1/(n^2+5n)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{2}+5n}
limit as x approaches-4 of x^2-16	\lim\:_{x\to\:-4}(x^{2}-16)
derivative of (x^{1/2}/(\sqrt[3]{x)})	\frac{d}{dx}(\frac{x^{\frac{1}{2}}}{\sqrt[3]{x}})
f(x)=x^3+7e^x	f(x)=x^{3}+7e^{x}
integral of e^{3x}(1-e^{3x})^2	\int\:e^{3x}(1-e^{3x})^{2}dx
derivative of (e^x/(x^2+1))	\frac{d}{dx}(\frac{e^{x}}{x^{2}+1})
area tan(3x),2sin(3x),[-pi/9 , pi/9 ]	area\:\tan(3x),2\sin(3x),[-\frac{π}{9},\frac{π}{9}]
(\partial)/(\partial y)(e^{x^2y})	\frac{\partial\:}{\partial\:y}(e^{x^{2}y})
derivative of y=sqrt((x-1)/(x+1))	derivative\:y=\sqrt{\frac{x-1}{x+1}}
integral of ((4x-11))/((x^3-9x^2))	\int\:\frac{(4x-11)}{(x^{3}-9x^{2})}dx
derivative of cos(wt+sin(wt))	\frac{d}{dx}(\cos(wt)+\sin(wt))
integral of 1/2 e^{2x}+1/2	\int\:\frac{1}{2}e^{2x}+\frac{1}{2}dx
tangent of x^2+1	tangent\:x^{2}+1
sum from n=5 to infinity of 1/(n+25)	\sum\:_{n=5}^{\infty\:}\frac{1}{n+25}
d/(dt)(6/t)	\frac{d}{dt}(\frac{6}{t})
y^'=sqrt(3)x(x+2)^3	y^{\prime\:}=\sqrt{3}x(x+2)^{3}
y^'=ky(4000-y),y(0)=150	y^{\prime\:}=ky(4000-y),y(0)=150
(\partial)/(\partial x)(4xarctan(y/z))	\frac{\partial\:}{\partial\:x}(4x\arctan(\frac{y}{z}))
derivative of sin^{ln(x)}(7x)	derivative\:\sin^{\ln(x)}(7x)
integral of (x^2-5x-4)/((x^2-9)(x+2))	\int\:\frac{x^{2}-5x-4}{(x^{2}-9)(x+2)}dx

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