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Popular Calculus Problems

derivative of 4e^x+8/(\sqrt[3]{x)}	derivative\:4e^{x}+\frac{8}{\sqrt[3]{x}}
(\partial)/(\partial x)(5sqrt(x^2+y^2))	\frac{\partial\:}{\partial\:x}(5\sqrt{x^{2}+y^{2}})
(dy)/(dx)=(y^2-1)/(x^2-1),y(5)=5	\frac{dy}{dx}=\frac{y^{2}-1}{x^{2}-1},y(5)=5
derivative of (3x-2^5)	\frac{d}{dx}((3x-2)^{5})
integral of 4e^xsqrt(8+e^x)	\int\:4e^{x}\sqrt{8+e^{x}}dx
limit as x approaches 6 of x+3	\lim\:_{x\to\:6}(x+3)
(arctan(e^x))^'	(\arctan(e^{x}))^{\prime\:}
derivative of arccsc(2x+1)	\frac{d}{dx}(\arccsc(2x+1))
integral of (sin(x))^3(cos(x))	\int\:(\sin(x))^{3}(\cos(x))dx
limit as x approaches-1 of 1/(x+1)	\lim\:_{x\to\:-1}(\frac{1}{x+1})
limit as x approaches 0 of e^{7x}	\lim\:_{x\to\:0}(e^{7x})
integral of arccos(7x)	\int\:\arccos(7x)dx
sum from n=0 to infinity of n+2	\sum\:_{n=0}^{\infty\:}n+2
(dx)/(dt)=-2x-3x^2	\frac{dx}{dt}=-2x-3x^{2}
derivative of (cos^2(s)-4s^2)^2	derivative\:(\cos^{2}(s)-4s^{2})^{2}
integral of e^{4x}cos(9x)	\int\:e^{4x}\cos(9x)dx
integral from-2pi to 2pi of (sin^2(x)+1)	\int\:_{-2π}^{2π}(\sin^{2}(x)+1)dx
integral of log_{e}(5x)	\int\:\log_{e}(5x)dx
f(x)=-2sin(x)	f(x)=-2\sin(x)
derivative of sqrt(300-3p)	derivative\:\sqrt{300-3p}
(\partial)/(\partial x)(arcsin(y))	\frac{\partial\:}{\partial\:x}(\arcsin(y))
integral of x/(1+cos(2x))	\int\:\frac{x}{1+\cos(2x)}dx
derivative of arcsin(3x)	derivative\:\arcsin(3x)
integral of (x^2-x+6)/(x(x^2+3))	\int\:\frac{x^{2}-x+6}{x(x^{2}+3)}dx
y^{''}-(y^')^2=0	y^{\prime\:\prime\:}-(y^{\prime\:})^{2}=0
roots (ax+b)/(cx+d)	roots\:\frac{ax+b}{cx+d}
derivative of 3x^6	\frac{d}{dx}(3x^{6})
limit as x approaches 0-of (23)/(tan(x))	\lim\:_{x\to\:0-}(\frac{23}{\tan(x)})
tangent of f(x)= 6/(x+1)	tangent\:f(x)=\frac{6}{x+1}
limit as x approaches+1+of 7/(1-x)	\lim\:_{x\to\:+1+}(\frac{7}{1-x})
integral of (27)/(x^2)	\int\:\frac{27}{x^{2}}dx
integral of 2/(x(x-2)^2)	\int\:\frac{2}{x(x-2)^{2}}dx
derivative of ((x^2-1))/(2x-3)	derivative\:\frac{(x^{2}-1)}{2x-3}
(\partial)/(\partial y)(4x^3y^3+3)	\frac{\partial\:}{\partial\:y}(4x^{3}y^{3}+3)
derivative of sqrt(4x+5)	\frac{d}{dx}(\sqrt{4x+5})
integral of sin^3(4x)cos^{-2}(4x)	\int\:\sin^{3}(4x)\cos^{-2}(4x)dx
integral of cot^7(x/2)csc^2(x/2)	\int\:\cot^{7}(\frac{x}{2})\csc^{2}(\frac{x}{2})dx
slope of (-2,-9),(0,-3)	slope\:(-2,-9),(0,-3)
derivative of (x-3^3)	\frac{d}{dx}((x-3)^{3})
y^'=(3x^2-1)/(3+2y)	y^{\prime\:}=\frac{3x^{2}-1}{3+2y}
derivative of axsin(kx+bxcos(kx))	\frac{d}{dx}(ax\sin(kx)+bx\cos(kx))
derivative of f(x)=5x+2	derivative\:f(x)=5x+2
derivative of f(x)=-2ln(x)+x^2-4+e^x+x^e	derivative\:f(x)=-2\ln(x)+x^{2}-4+e^{x}+x^{e}
derivative of 2^{ln(x})	\frac{d}{dx}(2^{\ln(x)})
(d^3)/(dx^3)(2x^3-4)	\frac{d^{3}}{dx^{3}}(2x^{3}-4)
(\partial)/(\partial x)(e^{-2x}cos(9pit))	\frac{\partial\:}{\partial\:x}(e^{-2x}\cos(9πt))
d/(dt)(2cos(2t))	\frac{d}{dt}(2\cos(2t))
derivative of x/(5x+8)	\frac{d}{dx}(\frac{x}{5x+8})
limit as x approaches-2+of (1-x)/(x+2)	\lim\:_{x\to\:-2+}(\frac{1-x}{x+2})
(\partial)/(\partial x)(x^5)	\frac{\partial\:}{\partial\:x}(x^{5})
integral of cos(4x)sin^5(4x)	\int\:\cos(4x)\sin^{5}(4x)dx
derivative of f(x)=(x^2)/(x-1)	derivative\:f(x)=\frac{x^{2}}{x-1}
tangent of 4(8x-1)^4	tangent\:4(8x-1)^{4}
x^{''}+4x^'+4x=e^{-2t}	x^{\prime\:\prime\:}+4x^{\prime\:}+4x=e^{-2t}
derivative of f(x)=3sqrt(x^3)	derivative\:f(x)=3\sqrt{x^{3}}
integral from 0 to 8 of-x^2+2x+4	\int\:_{0}^{8}-x^{2}+2x+4dx
tangent of f(x)=(4x)/(x+1),\at x=3	tangent\:f(x)=\frac{4x}{x+1},\at\:x=3
limit as x approaches-4 of (\|x+4\|)/(x+4)	\lim\:_{x\to\:-4}(\frac{\left\|x+4\right\|}{x+4})
derivative of y=(e^{4x}-3)^8	derivative\:y=(e^{4x}-3)^{8}
(d^3)/(dx^3)(2x^3-4x^2+2)	\frac{d^{3}}{dx^{3}}(2x^{3}-4x^{2}+2)
area x^3-5x,4x	area\:x^{3}-5x,4x
derivative of 7/(x+4)	\frac{d}{dx}(\frac{7}{x+4})
dx-e^{3x}dy=0	dx-e^{3x}dy=0
(\partial)/(\partial x)(x^{6y})	\frac{\partial\:}{\partial\:x}(x^{6y})
integral from b to 1 of /r	\int\:_{b}^{d}\frac{1}{r}dr
tangent of f(x)=7x^3+5x,\at x=7	tangent\:f(x)=7x^{3}+5x,\at\:x=7
derivative of 3e^x(5x^5-2)	\frac{d}{dx}(3e^{x}(5x^{5}-2))
y'=sin^2(x-y)	y\prime\:=\sin^{2}(x-y)
derivative of (x^2+3^4)	\frac{d}{dx}((x^{2}+3)^{4})
derivative of 5e^{sqrt(x)}	\frac{d}{dx}(5e^{\sqrt{x}})
(\partial)/(\partial x)((3x^2+3x-1)(2x+3))	\frac{\partial\:}{\partial\:x}((3x^{2}+3x-1)(2x+3))
derivative of y=(x+5)(3sqrt(x)+8)	derivative\:y=(x+5)(3\sqrt{x}+8)
integral of ((x+1))/((x^2+2x+2)^3)	\int\:\frac{(x+1)}{(x^{2}+2x+2)^{3}}dx
(dy)/(dx)=1+y/x	\frac{dy}{dx}=1+\frac{y}{x}
derivative of y=log_{4}(x)+log_{4}(x^2)	derivative\:y=\log_{4}(x)+\log_{4}(x^{2})
derivative of sqrt(x^2-8)	\frac{d}{dx}(\sqrt{x^{2}-8})
slope of (0,2),(2,-3)	slope\:(0,2),(2,-3)
laplacetransform \delta(x)	laplacetransform\:\delta(x)
taylor x^2e^{x-1}1	taylor\:x^{2}e^{x-1}1
laplacetransform e^{-2t}	laplacetransform\:e^{-2t}
derivative of x^4-4x^3+6	\frac{d}{dx}(x^{4}-4x^{3}+6)
x^{''}-5x^'+6x=cos(t)e^{-t}	x^{\prime\:\prime\:}-5x^{\prime\:}+6x=\cos(t)e^{-t}
tangent of f(x)= 2/(x+3),\at a=-4	tangent\:f(x)=\frac{2}{x+3},\at\:a=-4
sum from n=1 to infinity of sin(n+1)	\sum\:_{n=1}^{\infty\:}\sin(n+1)
tangent of (10-x)y^2=x^3,(2,1)	tangent\:(10-x)y^{2}=x^{3},(2,1)
integral of 1/(sqrt(16x^2+4))	\int\:\frac{1}{\sqrt{16x^{2}+4}}dx
derivative of sqrt(x)+(x-6)^6	derivative\:\sqrt{x}+(x-6)^{6}
derivative of e^{2+x}-2e^x+2ex	\frac{d}{dx}(e^{2+x}-2e^{x}+2ex)
limit as x approaches pi/3 of cot(3x)	\lim\:_{x\to\:\frac{π}{3}}(\cot(3x))
(\partial)/(\partial x)(x^2e^{5xy})	\frac{\partial\:}{\partial\:x}(x^{2}e^{5xy})
derivative of-ln(1+6x)	\frac{d}{dx}(-\ln(1+6x))
(\partial)/(\partial x)(cos^n(x))	\frac{\partial\:}{\partial\:x}(\cos^{n}(x))
integral from 0.5 to 1 of 4/9 x(5-x^2)	\int\:_{0.5}^{1}\frac{4}{9}x(5-x^{2})dx
limit as x approaches 0-of-2x^2+2x	\lim\:_{x\to\:0-}(-2x^{2}+2x)
integral of 3/(x(x-3)^2)	\int\:\frac{3}{x(x-3)^{2}}dx
integral of sec^2(y)	\int\:\sec^{2}(y)dy
sum from n=1 to infinity of (8/9)^n	\sum\:_{n=1}^{\infty\:}(\frac{8}{9})^{n}
limit as x approaches 0 of (7x+x^2)/x	\lim\:_{x\to\:0}(\frac{7x+x^{2}}{x})
integral of 30(25-x^2)	\int\:30(25-x^{2})dx
tangent of f(x)=7ln(x),\at x=3	tangent\:f(x)=7\ln(x),\at\:x=3

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