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Popular Calculus Problems

derivative of 2sqrt(x+3)-x	\frac{d}{dx}(2\sqrt{x+3}-x)
d/(dy)(x-5ln\|x\|+yx)	\frac{d}{dy}(x-5\ln\left\|x\right\|+yx)
limit as h approaches 0 of 3	\lim\:_{h\to\:0}(3)
derivative of y=cot(x)	derivative\:y=\cot(x)
integral of sin^2(x)cos^5(x)	\int\:\sin^{2}(x)\cos^{5}(x)dx
taylor 1/x ,-3	taylor\:\frac{1}{x},-3
integral of (9t-8)/(t+1)	\int\:\frac{9t-8}{t+1}dt
(\partial)/(\partial x)(xy(6-x-y))	\frac{\partial\:}{\partial\:x}(xy(6-x-y))
derivative of x^{4/3}-4x^{1/3}+1	\frac{d}{dx}(x^{\frac{4}{3}}-4x^{\frac{1}{3}}+1)
(\partial)/(\partial x)(cos(4y-x))	\frac{\partial\:}{\partial\:x}(\cos(4y-x))
(\partial)/(\partial x)(4y^x)	\frac{\partial\:}{\partial\:x}(4y^{x})
tangent of 9x-9sqrt(x)	tangent\:9x-9\sqrt{x}
derivative of (x^2+y^2sin(1/(x^2+y^2)))	\frac{d}{dx}((x^{2}+y^{2})\sin(\frac{1}{x^{2}+y^{2}}))
integral of sin(x)in(cos(x))	\int\:\sin(x)in(\cos(x))dx
derivative of f(x)=8sec(x)tan(x)	derivative\:f(x)=8\sec(x)\tan(x)
tangent of f(x)=x^2+1,(0,1)	tangent\:f(x)=x^{2}+1,(0,1)
sum from n=5 to infinity of (3^n)/(12^n)	\sum\:_{n=5}^{\infty\:}\frac{3^{n}}{12^{n}}
tangent of y=x^2-5	tangent\:y=x^{2}-5
limit as x approaches-1 of 4x^2-2x-6	\lim\:_{x\to\:-1}(4x^{2}-2x-6)
derivative of (1-4ln(x)/(x^5))	\frac{d}{dx}(\frac{1-4\ln(x)}{x^{5}})
derivative of sin(2pit)	derivative\:\sin(2πt)
d/(dy)((350)/(sqrt(x^2+y^2)))	\frac{d}{dy}(\frac{350}{\sqrt{x^{2}+y^{2}}})
(\partial)/(\partial x)(sqrt(6-2x^2+3y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{6-2x^{2}+3y^{2}})
tangent of f(x)=x^{1/2},(81,9)	tangent\:f(x)=x^{\frac{1}{2}},(81,9)
integral of (ln(x))/(5x^4)	\int\:\frac{\ln(x)}{5x^{4}}dx
integral of sqrt(4-r^2)	\int\:\sqrt{4-r^{2}}dr
limit as h approaches 0 of ((h-3)^3+1)/h	\lim\:_{h\to\:0}(\frac{(h-3)^{3}+1}{h})
f(x)=log_{2}(1-3x)	f(x)=\log_{2}(1-3x)
integral of 7e^{-7x}	\int\:7e^{-7x}dx
derivative of 9xsin(x)	\frac{d}{dx}(9x\sin(x))
derivative of 4/3 pi^3	\frac{d}{dx}(\frac{4}{3}π^{3})
integral of (5z^2)/y	\int\:\frac{5z^{2}}{y}dy
derivative of log_{5}(x^4)	derivative\:\log_{5}(x^{4})
(\partial)/(\partial y)(x-1)	\frac{\partial\:}{\partial\:y}(x-1)
(\partial)/(\partial x)((2x-3y)^3)	\frac{\partial\:}{\partial\:x}((2x-3y)^{3})
limit as x approaches 4 of 1/(sqrt(x)-2)	\lim\:_{x\to\:4}(\frac{1}{\sqrt{x}-2})
derivative of f(x)= 4/(sqrt(x))a= 1/16	derivative\:f(x)=\frac{4}{\sqrt{x}}a=\frac{1}{16}
derivative of cos(xy)	derivative\:\cos(xy)
derivative of (2a^3/x)	\frac{d}{dx}(\frac{2a^{3}}{x})
inverse oflaplace 1/((s+2)^5)	inverselaplace\:\frac{1}{(s+2)^{5}}
derivative of 1/(1+(3x+1^2))	\frac{d}{dx}(\frac{1}{1+(3x+1)^{2}})
inverse oflaplace (e^{-3s})/s	inverselaplace\:\frac{e^{-3s}}{s}
derivative of-arcsin(1/x+e^2)	\frac{d}{dx}(-\arcsin(\frac{1}{x})+e^{2})
derivative of f(x)=[ln(x)]^x	derivative\:f(x)=[\ln(x)]^{x}
y'=0.0015y(2100-y)	y\prime\:=0.0015y(2100-y)
(dy)/(dx)=x^{3/2}	\frac{dy}{dx}=x^{\frac{3}{2}}
integral of-1/(n^2)cos(nt)	\int\:-\frac{1}{n^{2}}\cos(nt)dt
(\partial)/(\partial x)(x^3cos(xy))	\frac{\partial\:}{\partial\:x}(x^{3}\cos(xy))
area x=y^2,x=6-2y^2	area\:x=y^{2},x=6-2y^{2}
integral of (9xsqrt(1+2x^2))	\int\:(9x\sqrt{1+2x^{2}})dx
limit as x approaches 0 of (x^2-x)/x	\lim\:_{x\to\:0}(\frac{x^{2}-x}{x})
derivative of x/(x^2+y^2)	\frac{d}{dx}(\frac{x}{x^{2}+y^{2}})
integral from 0 to 1 of x-x^4	\int\:_{0}^{1}x-x^{4}dx
y^{''}+4y^'-2y=0	y^{\prime\:\prime\:}+4y^{\prime\:}-2y=0
(\partial)/(\partial x)(x/(x^3-y^6))	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{3}-y^{6}})
(\partial)/(\partial x)(7sec(x)-4x)	\frac{\partial\:}{\partial\:x}(7\sec(x)-4x)
y^'=(4x^2+3y^2)/(2xy)	y^{\prime\:}=\frac{4x^{2}+3y^{2}}{2xy}
area x^2-8,-x^2+2x+4	area\:x^{2}-8,-x^{2}+2x+4
derivative of ln((2-x/(1-x)))	\frac{d}{dx}(\ln(\frac{2-x}{1-x}))
(dy)/(dx)=((1+x))/(xy^{16)}	\frac{dy}{dx}=\frac{(1+x)}{xy^{16}}
integral of (2x-40)*ln(x-20)	\int\:(2x-40)\cdot\:\ln(x-20)dx
integral from 0 to 1 of (u+3)(u-4)	\int\:_{0}^{1}(u+3)(u-4)du
derivative of f(x)=3x^{5/4}	derivative\:f(x)=3x^{\frac{5}{4}}
tangent of csc(x)	tangent\:\csc(x)
y^2dx+xydy=0	y^{2}dx+xydy=0
derivative of x(3x+4)^5	derivative\:x(3x+4)^{5}
y=(x^2-2x+2)e^x	y=(x^{2}-2x+2)e^{x}
derivative of (x^3+1)^5	derivative\:(x^{3}+1)^{5}
integral of 4x^3+9x^2y^2+3	\int\:4x^{3}+9x^{2}y^{2}+3dx
sum from n=1 to infinity of 7-6(0.8)^n	\sum\:_{n=1}^{\infty\:}7-6(0.8)^{n}
integral of 5sin(2x)	\int\:5\sin(2x)dx
integral of (1.3)^x	\int\:(1.3)^{x}dx
integral of e^{2x}+1	\int\:e^{2x}+1dx
limit as x approaches 0+of tan^x(4x)	\lim\:_{x\to\:0+}(\tan^{x}(4x))
integral of sqrt(tan^2(x)+1)	\int\:\sqrt{\tan^{2}(x)+1}dx
maclaurin ln(1+cos(x))	maclaurin\:\ln(1+\cos(x))
2yy^'=x(y^2+1),y(2)=0	2yy^{\prime\:}=x(y^{2}+1),y(2)=0
derivative of f(x)=x^4cos(x)	derivative\:f(x)=x^{4}\cos(x)
integral of e^{-2x}	\int\:e^{-2x}dx
(dy)/(dt)+y=t	\frac{dy}{dt}+y=t
integral of 18cos(x)	\int\:18\cos(x)dx
(df)/(dx)=4x^2-5x+log_{10}(x)	\frac{df}{dx}=4x^{2}-5x+\log_{10}(x)
integral of (2x)/(x-1)	\int\:\frac{2x}{x-1}dx
limit as x approaches 0+of 9	\lim\:_{x\to\:0+}(9)
(\partial)/(\partial x)(250sqrt(x^2+y^2))	\frac{\partial\:}{\partial\:x}(250\sqrt{x^{2}+y^{2}})
derivative of x^{0.8}	derivative\:x^{0.8}
derivative of ((x^2-1))/(x^2-4)	derivative\:\frac{(x^{2}-1)}{x^{2}-4}
integral of (3x)/pi	\int\:\frac{3x}{π}dx
(\partial)/(\partial y)(e^{7x})	\frac{\partial\:}{\partial\:y}(e^{7x})
integral of (x^2)/(x^4+1)	\int\:\frac{x^{2}}{x^{4}+1}dx
e^xy(dy)/(dx)=e^{-y}+e^{2x-y}	e^{x}y\frac{dy}{dx}=e^{-y}+e^{2x-y}
integral of (x+3)(x+1)x(x-2)	\int\:(x+3)(x+1)x(x-2)dx
y^{''}-6y^'-4y=0	y^{\prime\:\prime\:}-6y^{\prime\:}-4y=0
integral of sin(7y)	\int\:\sin(7y)dy
integral from a to infinity of f(x)	\int\:_{a}^{\infty\:}f(x)dx
y^{''}-y^'-6y=6e^{3x}+2e^{-2x}	y^{\prime\:\prime\:}-y^{\prime\:}-6y=6e^{3x}+2e^{-2x}
derivative of x^4+5e^x	derivative\:x^{4}+5e^{x}
(\partial)/(\partial x)(2xy^2)	\frac{\partial\:}{\partial\:x}(2xy^{2})
(\partial)/(\partial x)(3x^2-6xy+y^3-9y+5)	\frac{\partial\:}{\partial\:x}(3x^{2}-6xy+y^{3}-9y+5)
derivative of arcsin((2x/(1+x^2)))	\frac{d}{dx}(\arcsin(\frac{2x}{1+x^{2}}))

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