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Popular Calculus Problems

(\partial)/(\partial z)(x*ln(y-z))	\frac{\partial\:}{\partial\:z}(x\cdot\:\ln(y-z))
slope of-9/2 x^2+3x+3	slope\:-\frac{9}{2}x^{2}+3x+3
y^{''}-y^'-2y=6e^{2t}	y^{\prime\:\prime\:}-y^{\prime\:}-2y=6e^{2t}
integral of sin^3(xco)s^6x	\int\:\sin^{3}(xco)s^{6}xdx
laplacetransform e^{-2t}cos(t)	laplacetransform\:e^{-2t}\cos(t)
integral of 7/(x+3)	\int\:\frac{7}{x+3}dx
integral of (sin(x))^5cos(x)	\int\:(\sin(x))^{5}\cos(x)dx
derivative of arccsc(-9x^2)	\frac{d}{dx}(\arccsc(-9x^{2}))
taylor 8xe^x	taylor\:8xe^{x}
slope ofintercept (1,1),(-1,2)	slopeintercept\:(1,1),(-1,2)
integral of x^5e^{x^3}	\int\:x^{5}e^{x^{3}}dx
integral of 3x(x^2-2x)	\int\:3x(x^{2}-2x)dx
derivative of f(x)= 9/(sqrt(x+1))	derivative\:f(x)=\frac{9}{\sqrt{x+1}}
(dy)/(dt)=-3y+9	\frac{dy}{dt}=-3y+9
integral of y^2e^{xy^2}+1	\int\:y^{2}e^{xy^{2}}+1dx
integral from 0 to pi/2 of cos(4x)	\int\:_{0}^{\frac{π}{2}}\cos(4x)dx
(\partial)/(\partial x)(sqrt(2+x^2+y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{2+x^{2}+y^{2}})
derivative of (-x^2+9/((x^2+9)^2))	\frac{d}{dx}(\frac{-x^{2}+9}{(x^{2}+9)^{2}})
derivative of 3x^2+6x+6	\frac{d}{dx}(3x^{2}+6x+6)
(dy)/(dx)y=(4x)/(sqrt(3x-2x^2))	\frac{dy}{dx}y=\frac{4x}{\sqrt{3x-2x^{2}}}
derivative of 1.4x^5-2.5x^2+6.7	\frac{d}{dx}(1.4x^{5}-2.5x^{2}+6.7)
derivative of x^2+4	derivative\:x^{2}+4
derivative of y=(4x+3)^{10}	derivative\:y=(4x+3)^{10}
area x=y^2-2,x=y	area\:x=y^{2}-2,x=y
integral of (7t-6)/(t+1)	\int\:\frac{7t-6}{t+1}dt
derivative of 5e^{-x}+e^{2x}	\frac{d}{dx}(5e^{-x}+e^{2x})
laplacetransform 2t	laplacetransform\:2t
integral from 0 to 0.5 of 8x-1/2 x	\int\:_{0}^{0.5}8x-\frac{1}{2}xdx
derivative of (x^2/((1+x)^5))	\frac{d}{dx}(\frac{x^{2}}{(1+x)^{5}})
derivative of cos(x-y+ln(x+y))	\frac{d}{dx}(\cos(x-y)+\ln(x+y))
integral of (2x^3-x^2+2x+4)/(1+x^2)	\int\:\frac{2x^{3}-x^{2}+2x+4}{1+x^{2}}dx
integral of (8x+3)sqrt(4x^2+3x)	\int\:(8x+3)\sqrt{4x^{2}+3x}dx
derivative of (x^2+13x+36/(x^2+8x-9))	\frac{d}{dx}(\frac{x^{2}+13x+36}{x^{2}+8x-9})
derivative of 9x^{2/3}	derivative\:9x^{\frac{2}{3}}
tangent of f(x)=6sec(x)	tangent\:f(x)=6\sec(x)
derivative of (ln(x)/(x^4))	\frac{d}{dx}(\frac{\ln(x)}{x^{4}})
(dy)/(dx)+y=e^{5x}	\frac{dy}{dx}+y=e^{5x}
3y^'-9x^2=0	3y^{\prime\:}-9x^{2}=0
(\partial)/(\partial y)(e^{-2x}*cos(2y))	\frac{\partial\:}{\partial\:y}(e^{-2x}\cdot\:\cos(2y))
derivative of f(x)=(1-2x)/(5+x)	derivative\:f(x)=\frac{1-2x}{5+x}
integral of (4x^3-8x^2+5)/(x^2-2x)	\int\:\frac{4x^{3}-8x^{2}+5}{x^{2}-2x}dx
d/(dy)(x+1/2 ln(x^2+y^2))	\frac{d}{dy}(x+\frac{1}{2}\ln(x^{2}+y^{2}))
integral of 5tan^2(x)+tan^4(x)	\int\:5\tan^{2}(x)+\tan^{4}(x)dx
integral of e^{(-x^2)}	\int\:e^{(-x^{2})}dx
area y=x^2,y=2-x,x=0	area\:y=x^{2},y=2-x,x=0
derivative of f(x)=ln((e^x)/(1+e^x))	derivative\:f(x)=\ln(\frac{e^{x}}{1+e^{x}})
derivative of y=ln(3/x)	derivative\:y=\ln(\frac{3}{x})
sum from n=0 to infinity of 2/(n+1)	\sum\:_{n=0}^{\infty\:}\frac{2}{n+1}
integral of tan^5(4x)sec^3(4x)	\int\:\tan^{5}(4x)\sec^{3}(4x)dx
sum from n=1 to infinity of 4/(5n)	\sum\:_{n=1}^{\infty\:}\frac{4}{5n}
(\partial}{\partial s}(\frac{(3r+s))/t)	\frac{\partial\:}{\partial\:s}(\frac{(3r+s)}{t})
slope ofintercept (-7.2)(8.2)	slopeintercept\:(-7.2)(8.2)
integral from 0 to 8pi of sqrt(x^2+5)	\int\:_{0}^{8π}\sqrt{x^{2}+5}dx
integral of 5/((x^2+4))	\int\:\frac{5}{(x^{2}+4)}dx
derivative of (1-cos(2x)/(1+cos(2x)))	\frac{d}{dx}(\frac{1-\cos(2x)}{1+\cos(2x)})
derivative of (x^2-4x+3/((x-2)^2))	\frac{d}{dx}(\frac{x^{2}-4x+3}{(x-2)^{2}})
derivative of 4e^{-6x^2}	\frac{d}{dx}(4e^{-6x^{2}})
integral of (5(1-tan^2(x)))/(sec^2(x))	\int\:\frac{5(1-\tan^{2}(x))}{\sec^{2}(x)}dx
derivative of x-4	derivative\:x-4
integral of (sqrt(25x^2+4))/(x^4)	\int\:\frac{\sqrt{25x^{2}+4}}{x^{4}}dx
derivative of f(x)=ln(sin(2x))	derivative\:f(x)=\ln(\sin(2x))
(\partial)/(\partial x)(ln(tan(x+y)))	\frac{\partial\:}{\partial\:x}(\ln(\tan(x+y)))
integral from 1 to-1 of (3e^x)	\int\:_{1}^{-1}(3e^{x})dx
derivative of xe^{x^3}	\frac{d}{dx}(xe^{x^{3}})
inverse oflaplace 1/((s+3)^2+4)	inverselaplace\:\frac{1}{(s+3)^{2}+4}
x^2y^'-2x^3e^{-1/x}=y	x^{2}y^{\prime\:}-2x^{3}e^{-\frac{1}{x}}=y
integral of (sin(x))/(cos(2x))	\int\:\frac{\sin(x)}{\cos(2x)}dx
e^{t^2}y^'+(t+ty^2)=0	e^{t^{2}}y^{\prime\:}+(t+ty^{2})=0
y^'=-0.000631594*sqrt(y)	y^{\prime\:}=-0.000631594\cdot\:\sqrt{y}
limit as x approaches 1+of (4x-1)/(x-1)	\lim\:_{x\to\:1+}(\frac{4x-1}{x-1})
derivative of f(x)=2cos(x)	derivative\:f(x)=2\cos(x)
(\partial)/(\partial x)((25xy)/(x-y))	\frac{\partial\:}{\partial\:x}(\frac{25xy}{x-y})
derivative of tan((pix)/2)	derivative\:\tan(\frac{πx}{2})
y^{''}+4y=-5csc(2t)	y^{\prime\:\prime\:}+4y=-5\csc(2t)
integral of 1/(sqrt(3-x^2))	\int\:\frac{1}{\sqrt{3-x^{2}}}dx
(\partial)/(\partial y)(y+2)	\frac{\partial\:}{\partial\:y}(y+2)
integral from 0 to 2 of 0.5x	\int\:_{0}^{2}0.5xdx
integral of (sin(s))/(1+cos(s))	\int\:\frac{\sin(s)}{1+\cos(s)}ds
derivative of 1/(\|x\|)	\frac{d}{dx}(\frac{1}{\left\|x\right\|})
integral of xsin(x/3)	\int\:x\sin(\frac{x}{3})dx
integral of-ln(x+1)	\int\:-\ln(x+1)dx
derivative of b/(cos(θ))	\frac{d}{dx}(\frac{b}{\cos(θ)})
integral of+17cot^4(x)	\int\:+17\cot^{4}(x)dx
(3dy)/(dx)+15y=90,y(0)=0	\frac{3dy}{dx}+15y=90,y(0)=0
integral of (2sin(x)-pi/4 x)	\int\:(2\sin(x)-\frac{π}{4}x)dx
derivative of ln(x/x)	\frac{d}{dx}(\ln(\frac{x}{x}))
d/(dt)(acos^3(t))	\frac{d}{dt}(a\cos^{3}(t))
tangent of f(x)=sqrt(x^2+21),\at x=2	tangent\:f(x)=\sqrt{x^{2}+21},\at\:x=2
(\partial)/(\partial z)(x^2+y^2)	\frac{\partial\:}{\partial\:z}(x^{2}+y^{2})
(dy}{dx}=\frac{-2x)/y	\frac{dy}{dx}=\frac{-2x}{y}
tangent of y=x+sqrt(x)	tangent\:y=x+\sqrt{x}
(x+ye^{(y/x)})dx-(xe^{y/x})dy=0	(x+ye^{(\frac{y}{x})})dx-(xe^{\frac{y}{x}})dy=0
(dy)/(e^y)=xdx	\frac{dy}{e^{y}}=xdx
integral of 6x^2(x^2+2)	\int\:6x^{2}(x^{2}+2)dx
limit as x approaches infinity of 2x+1	\lim\:_{x\to\:\infty\:}(2x+1)
integral of (x^3+x)/(x^2)	\int\:\frac{x^{3}+x}{x^{2}}dx
(\partial)/(\partial x)(2x^3y+cos(x^2))	\frac{\partial\:}{\partial\:x}(2x^{3}y+\cos(x^{2}))
derivative of (x+2/(x-2))	\frac{d}{dx}(\frac{x+2}{x-2})
integral of ((9+sqrt(x)+x)/x)	\int\:(\frac{9+\sqrt{x}+x}{x})dx
integral of (2x+5)e^x	\int\:(2x+5)e^{x}dx

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