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d/(dy)(e^{x+y})	\frac{d}{dy}(e^{x+y})
f(x)= x/(3x-4ln(x))	f(x)=\frac{x}{3x-4\ln(x)}
limit as x approaches 2 of (x^2-9)/(x-3)	\lim\:_{x\to\:2}(\frac{x^{2}-9}{x-3})
tangent of p(θ)=sqrt(3θ)	tangent\:p(θ)=\sqrt{3θ}
xy^'=(y^2)/x+y	xy^{\prime\:}=\frac{y^{2}}{x}+y
y^'=1+(y/x)	y^{\prime\:}=1+(\frac{y}{x})
derivative of f(x)=sqrt(1+x^{256)}-1	derivative\:f(x)=\sqrt{1+x^{256}}-1
derivative of 2xsqrt(36-x^2)	\frac{d}{dx}(2x\sqrt{36-x^{2}})
(\partial)/(\partial y)(x^2y-x-xy^2+y)	\frac{\partial\:}{\partial\:y}(x^{2}y-x-xy^{2}+y)
derivative of 18^x	\frac{d}{dx}(18^{x})
(\partial)/(\partial x)(ln(x^3y+2z))	\frac{\partial\:}{\partial\:x}(\ln(x^{3}y+2z))
integral of sin^3(3x)cos(3x)	\int\:\sin^{3}(3x)\cos(3x)dx
limit as x approaches 0 of x^2tan(x)	\lim\:_{x\to\:0}(x^{2}\tan(x))
limit as x approaches 7 of ln(x-7)	\lim\:_{x\to\:7}(\ln(x-7))
taylor 1/(1+x^2),1	taylor\:\frac{1}{1+x^{2}},1
tangent of 4/(5x+1)	tangent\:\frac{4}{5x+1}
derivative of ln(1/(sqrt(1-x^2)))	\frac{d}{dx}(\ln(\frac{1}{\sqrt{1-x^{2}}}))
limit as x approaches-5-of 3	\lim\:_{x\to\:-5-}(3)
y^'=6-y	y^{\prime\:}=6-y
derivative of y=(3x^3+7)^2	derivative\:y=(3x^{3}+7)^{2}
integral of (x+2)^{-1}	\int\:(x+2)^{-1}dx
(dy)/(dx)=7x^2*1/(5y^2)	\frac{dy}{dx}=7x^{2}\cdot\:\frac{1}{5y^{2}}
derivative of-1/((1+x)^2)	derivative\:-\frac{1}{(1+x)^{2}}
derivative of 3x^2-x+12	\frac{d}{dx}(3x^{2}-x+12)
integral from-infinity to-1 of e^{-14t}	\int\:_{-\infty\:}^{-1}e^{-14t}dt
integral of 6x^2-5	\int\:6x^{2}-5dx
derivative of y= 7/x	derivative\:y=\frac{7}{x}
(\partial)/(\partial x)(1+x^4+y^3)	\frac{\partial\:}{\partial\:x}(1+x^{4}+y^{3})
limit as x approaches 2-of ((2)\|x\|)/x-x	\lim\:_{x\to\:2-}(\frac{(2)\left\|x\right\|}{x}-x)
derivative of ,x	\frac{d}{dx}(,x)
area y=3x+2,y=x^3	area\:y=3x+2,y=x^{3}
inverse oflaplace 8/(s^2+8s)	inverselaplace\:\frac{8}{s^{2}+8s}
area y=0,y=x^3+8,[-3,-1]	area\:y=0,y=x^{3}+8,[-3,-1]
limit as x approaches 2 of 3x^2+4x+10	\lim\:_{x\to\:2}(3x^{2}+4x+10)
x^'=2x	x^{\prime\:}=2x
(dy)/(dt)-y=2cos(kt),y(0)=7	\frac{dy}{dt}-y=2\cos(kt),y(0)=7
(dy)/(dx)=1+x^2+y^2+x^2y^2	\frac{dy}{dx}=1+x^{2}+y^{2}+x^{2}y^{2}
derivative of sqrt(x-2\sqrt{x-2)}	\frac{d}{dx}(\sqrt{x-2\sqrt{x-2}})
derivative of (1+x^{1/2})	\frac{d}{dx}((1+x)^{\frac{1}{2}})
derivative of x^2-x-ln(x)	\frac{d}{dx}(x^{2}-x-\ln(x))
integral from-1 to 2 of (8-x^2)	\int\:_{-1}^{2}(8-x^{2})dx
derivative of 3cos(4x)	\frac{d}{dx}(3\cos(4x))
(\partial)/(\partial t)(4e^{sin(x+3ct)})	\frac{\partial\:}{\partial\:t}(4e^{\sin(x+3ct)})
limit as x approaches-5 of 2/((x+5)^4)	\lim\:_{x\to\:-5}(\frac{2}{(x+5)^{4}})
integral of 1024sin^4(x)cos^4(x)	\int\:1024\sin^{4}(x)\cos^{4}(x)dx
(\partial)/(\partial z)(e^{xyz^2+z})	\frac{\partial\:}{\partial\:z}(e^{xyz^{2}+z})
(\partial)/(\partial x)(4x^2+4y^3)	\frac{\partial\:}{\partial\:x}(4x^{2}+4y^{3})
integral of (3x^2+4)sqrt(x-1)	\int\:(3x^{2}+4)\sqrt{x-1}dx
integral from 4 to 7 of (x-5)^2	\int\:_{4}^{7}(x-5)^{2}dx
y^'+y=e^x,y(0)=6	y^{\prime\:}+y=e^{x},y(0)=6
(\partial)/(\partial x)(x/(x^5-y^5))	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{5}-y^{5}})
integral of sin(x)csc(x)	\int\:\sin(x)\csc(x)dx
f(x)=e^{2x^2}	f(x)=e^{2x^{2}}
integral of sin^2(3x)cos^3(3x)	\int\:\sin^{2}(3x)\cos^{3}(3x)dx
limit as x approaches 0 of 5-x^2	\lim\:_{x\to\:0}(5-x^{2})
integral from 0 to 1 of x/(sqrt(1+x))	\int\:_{0}^{1}\frac{x}{\sqrt{1+x}}dx
d/(dt)(e^{3t})	\frac{d}{dt}(e^{3t})
integral of x(2x^2+1)^{3/2}	\int\:x(2x^{2}+1)^{\frac{3}{2}}dx
(\partial)/(\partial x)(x^2*cos(xy))	\frac{\partial\:}{\partial\:x}(x^{2}\cdot\:\cos(xy))
area y=10x^2,y^2= 1/10 x	area\:y=10x^{2},y^{2}=\frac{1}{10}x
limit as x approaches 3-of 1/((x-3)^2)	\lim\:_{x\to\:3-}(\frac{1}{(x-3)^{2}})
integral of 1/(2xsqrt(16x^2-8))	\int\:\frac{1}{2x\sqrt{16x^{2}-8}}dx
integral of 4^{3x}	\int\:4^{3x}dx
f(t)=t^3-2t^2+5t+4	f(t)=t^{3}-2t^{2}+5t+4
tangent of f(x)=(e^{-x})/(x+1),\at x=1	tangent\:f(x)=\frac{e^{-x}}{x+1},\at\:x=1
derivative of x/((1-x))	\frac{d}{dx}(\frac{x}{(1-x)})
sum from n=1 to infinity of ln(1+2/n)	\sum\:_{n=1}^{\infty\:}\ln(1+\frac{2}{n})
derivative of y=(2x)/(5-cot(x))	derivative\:y=\frac{2x}{5-\cot(x)}
(\partial)/(\partial y)(4x^2+3y^4)	\frac{\partial\:}{\partial\:y}(4x^{2}+3y^{4})
integral of cot^2(3x)	\int\:\cot^{2}(3x)dx
integral of (1+sqrt(x))^3	\int\:(1+\sqrt{x})^{3}dx
derivative of sqrt((x^3-1/(x^3+1)))	\frac{d}{dx}(\sqrt{\frac{x^{3}-1}{x^{3}+1}})
f(x)=(xcos(x)+pi)/(x-pi)	f(x)=\frac{x\cos(x)+π}{x-π}
derivative of (1+3/x ^x)	\frac{d}{dx}((1+\frac{3}{x})^{x})
(\partial)/(\partial x)((ln(x))^2)	\frac{\partial\:}{\partial\:x}((\ln(x))^{2})
integral of (x^3+x^2-x^5)/(x^6)	\int\:\frac{x^{3}+x^{2}-x^{5}}{x^{6}}dx
derivative of 1/4 (x^4+8)	\frac{d}{dx}(\frac{1}{4}(x^{4}+8))
derivative of g(x)=3x^4-140x^3	derivative\:g(x)=3x^{4}-140x^{3}
integral of 1/t	\int\:\frac{1}{t}dt
(\partial)/(\partial x)(-x)	\frac{\partial\:}{\partial\:x}(-x)
derivative of sqrt(r)	derivative\:\sqrt{r}
derivative of-1/2 tan(x)	\frac{d}{dx}(-\frac{1}{2}\tan(x))
taylor x^{3/2}	taylor\:x^{\frac{3}{2}}
limit as x approaches 7 of 2-sqrt(x-3)	\lim\:_{x\to\:7}(2-\sqrt{x-3})
integral of e^xsqrt(39+e^x)	\int\:e^{x}\sqrt{39+e^{x}}dx
tangent of f(x)=sqrt(x^3+3),(1,2)	tangent\:f(x)=\sqrt{x^{3}+3},(1,2)
integral of-3x	\int\:-3xdx
integral of 1/(2x^3+x)	\int\:\frac{1}{2x^{3}+x}dx
(\partial)/(\partial x)((0.5x^2+0.5y^2)^{1/2})	\frac{\partial\:}{\partial\:x}((0.5x^{2}+0.5y^{2})^{\frac{1}{2}})
integral from 0 to pi/2 of cos^5(1)	\int\:_{0}^{\frac{π}{2}}\cos^{5}(1)dx
y^{''}-4y^'+4y=t^{-6}e^{2t}	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=t^{-6}e^{2t}
(\partial)/(\partial y)(xe^{x^2y})	\frac{\partial\:}{\partial\:y}(xe^{x^{2}y})
y^{''}-4y^'+2y=0,y(0)=0,y^'(0)=5	y^{\prime\:\prime\:}-4y^{\prime\:}+2y=0,y(0)=0,y^{\prime\:}(0)=5
y^{''}-y=e^t	y^{\prime\:\prime\:}-y=e^{t}
f^'(x)=((5x+1))/(5x)	f^{\prime\:}(x)=\frac{(5x+1)}{5x}
integral from 0 to 1 of 2x-x^2	\int\:_{0}^{1}2x-x^{2}dx
y^'+6xy^2=0	y^{\prime\:}+6xy^{2}=0
derivative of (1000/x)	\frac{d}{dx}(\frac{1000}{x})
(\partial)/(\partial x)(5x(3+y)^{-1})	\frac{\partial\:}{\partial\:x}(5x(3+y)^{-1})
(d^2)/(dx^2)(7cos(3x))	\frac{d^{2}}{dx^{2}}(7\cos(3x))

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