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Popular Calculus Problems

(\partial)/(\partial x)(e^{-2(x+y)})	\frac{\partial\:}{\partial\:x}(e^{-2(x+y)})
derivative of f(x)=-64x(-16x^2+36)	derivative\:f(x)=-64x(-16x^{2}+36)
(x^2-y^2)dx-2xydy=0	(x^{2}-y^{2})dx-2xydy=0
(\partial)/(\partial x)((x/y)e^{xy})	\frac{\partial\:}{\partial\:x}((\frac{x}{y})e^{xy})
integral of 5xcos(2x)	\int\:5x\cos(2x)dx
implicit (dy)/(dx),y=7x^{-4}	implicit\:\frac{dy}{dx},y=7x^{-4}
integral of 2xcos(2x)	\int\:2x\cos(2x)dx
area 0.4e^{-0.4t},0,4	area\:0.4e^{-0.4t},0,4
derivative of cos(ln(x^4))	\frac{d}{dx}(\cos(\ln(x^{4})))
integral of x(x-2)^2	\int\:x(x-2)^{2}dx
derivative of cos^2(-3x^2+2)	\frac{d}{dx}(\cos^{2}(-3x^{2}+2))
tangent of f(x)=x^2-4	tangent\:f(x)=x^{2}-4
-2y^{''}+9y=0,y(-2)=2,y^'(2)=1	-2y^{\prime\:\prime\:}+9y=0,y(-2)=2,y^{\prime\:}(2)=1
derivative of in(x+sqrt(1+x^2))	\frac{d}{dx}(in(x+\sqrt{1+x^{2}}))
tangent of f(x)=2x^3-x^2+1,(1,2)	tangent\:f(x)=2x^{3}-x^{2}+1,(1,2)
derivative of ((4x-2)^4)/((-5x+1)^5)	derivative\:\frac{(4x-2)^{4}}{(-5x+1)^{5}}
derivative of f(x)=(1/(x-3))^2	derivative\:f(x)=(\frac{1}{x-3})^{2}
derivative of x^3+2x^2+1	derivative\:x^{3}+2x^{2}+1
integral of (x^3)/3-3/(x^3)	\int\:\frac{x^{3}}{3}-\frac{3}{x^{3}}dx
integral of (x^2)/(x^2+9)	\int\:\frac{x^{2}}{x^{2}+9}dx
limit as x approaches-pi-of csc(x)	\lim\:_{x\to\:-π-}(\csc(x))
x^{''}+2x^'+2=0	x^{\prime\:\prime\:}+2x^{\prime\:}+2=0
sum from n=0 to infinity of (10)/(3^n)	\sum\:_{n=0}^{\infty\:}\frac{10}{3^{n}}
(\partial)/(\partial x)((x+y)^p-bx-(1-b)y)	\frac{\partial\:}{\partial\:x}((x+y)^{p}-bx-(1-b)y)
integral of zsqrt(z^2-1)	\int\:z\sqrt{z^{2}-1}dz
integral of (1/(x^4+1))	\int\:(\frac{1}{x^{4}+1})dx
slope of (1.3)(4.5)	slope\:(1.3)(4.5)
integral from 0 to 2 of (-2x^2-4)	\int\:_{0}^{2}(-2x^{2}-4)dx
integral of x^2-5x^6	\int\:x^{2}-5x^{6}dx
integral of (x+4)^{14}	\int\:(x+4)^{14}dx
derivative of tan^3(x/4)	\frac{d}{dx}(\tan^{3}(\frac{x}{4}))
(\partial)/(\partial x)(tan(3+2x^2y^4z^2))	\frac{\partial\:}{\partial\:x}(\tan(3+2x^{2}y^{4}z^{2}))
integral of-xe^{2x}	\int\:-xe^{2x}dx
integral of 9xarcsin(x)	\int\:9x\arcsin(x)dx
(\partial)/(\partial x)(e^ysin(x))	\frac{\partial\:}{\partial\:x}(e^{y}\sin(x))
limit as x approaches 0 of (\|x-3\|)/(x-3)	\lim\:_{x\to\:0}(\frac{\left\|x-3\right\|}{x-3})
(\partial)/(\partial x)(ln(x^6+y^6))	\frac{\partial\:}{\partial\:x}(\ln(x^{6}+y^{6}))
integral of e^{-5x}	\int\:e^{-5x}dx
integral of 3sin(4x)	\int\:3\sin(4x)dx
(\partial)/(\partial x)(-3)	\frac{\partial\:}{\partial\:x}(-3)
derivative of (2x-1^5)	\frac{d}{dx}((2x-1)^{5})
integral of 1/(tan(x)-sin(x))	\int\:\frac{1}{\tan(x)-\sin(x)}dx
derivative of \sqrt[4]{x}*2^x	derivative\:\sqrt[4]{x}\cdot\:2^{x}
(dy)/(dx)=20-y/(6000+20x)	\frac{dy}{dx}=20-\frac{y}{6000+20x}
integral from 0 to pi of cos^2(2x)	\int\:_{0}^{π}\cos^{2}(2x)dx
y^{''}+64y=0	y^{\prime\:\prime\:}+64y=0
derivative of 5e^2	\frac{d}{dx}(5e^{2})
(\partial)/(\partial x)(9x^{4y})	\frac{\partial\:}{\partial\:x}(9x^{4y})
inverse oflaplace (2s+5)/(s^2+s)	inverselaplace\:\frac{2s+5}{s^{2}+s}
integral of 34x+20	\int\:34x+20dx
d/(dy)(ln(((3y+1)^4)/(sqrt(y^2+1))))	\frac{d}{dy}(\ln(\frac{(3y+1)^{4}}{\sqrt{y^{2}+1}}))
limit as x approaches 0-of x^2-1/x	\lim\:_{x\to\:0-}(x^{2}-\frac{1}{x})
f(x)=(x^4)/4	f(x)=\frac{x^{4}}{4}
integral of e^{5x+1}	\int\:e^{5x+1}dx
area y=x,y=x^2-2	area\:y=x,y=x^{2}-2
integral of x^2e^{3x^3}	\int\:x^{2}e^{3x^{3}}dx
integral of 5/7	\int\:\frac{5}{7}dx
integral of x/(sqrt(2x-1))	\int\:\frac{x}{\sqrt{2x-1}}dx
limit as x approaches 3 of (5x-1)/(2x+1)	\lim\:_{x\to\:3}(\frac{5x-1}{2x+1})
derivative of f(x)=1-5x	derivative\:f(x)=1-5x
integral of 3x^{-4}	\int\:3x^{-4}dx
integral of (cos(x/2))	\int\:(\cos(\frac{x}{2}))dx
(\partial)/(\partial x)(cos(y)-x+2y)	\frac{\partial\:}{\partial\:x}(\cos(y)-x+2y)
integral of (-y/(x^2+y^2))	\int\:(-\frac{y}{x^{2}+y^{2}})dx
integral of ln(2+x^2)	\int\:\ln(2+x^{2})dx
integral from 0 to 8 of 1/(sqrt(64+t^2))	\int\:_{0}^{8}\frac{1}{\sqrt{64+t^{2}}}dt
derivative of 1+4x	\frac{d}{dx}(1+4x)
derivative of f(x)=((x+1)/(x-1))^2	derivative\:f(x)=(\frac{x+1}{x-1})^{2}
tangent of y=x^4+6x^2-x	tangent\:y=x^{4}+6x^{2}-x
integral of (4x^3+x^2+5)	\int\:(4x^{3}+x^{2}+5)dx
(\partial)/(\partial y)(ax^2+by^2)	\frac{\partial\:}{\partial\:y}(ax^{2}+by^{2})
integral of x(1+x)^{2/3}	\int\:x(1+x)^{\frac{2}{3}}dx
area y=cos(x),x= pi/2 ,x=2pi,y=0	area\:y=\cos(x),x=\frac{π}{2},x=2π,y=0
sum from n=0 to infinity of 2/3 (1/3)^n	\sum\:_{n=0}^{\infty\:}\frac{2}{3}(\frac{1}{3})^{n}
integral of (7-x)/(x^2-4x+4)	\int\:\frac{7-x}{x^{2}-4x+4}dx
derivative of cos(wx)	\frac{d}{dx}(\cos(wx))
limit as x approaches-infinity of-3x-2	\lim\:_{x\to\:-\infty\:}(-3x-2)
f(x)=x-e	f(x)=x-e
d/(dt)(\sqrt[4]{(e^{5t})/(t^2+1)})	\frac{d}{dt}(\sqrt[4]{\frac{e^{5t}}{t^{2}+1}})
(y^{''})/y =-3	\frac{y^{\prime\:\prime\:}}{y}=-3
integral of (x^2*sin(3x))	\int\:(x^{2}\cdot\:\sin(3x))dx
(dy)/(dx)+10x^4y=50x^9e^{3x^5}	\frac{dy}{dx}+10x^{4}y=50x^{9}e^{3x^{5}}
integral of 1+t^2	\int\:1+t^{2}dt
integral of-25sin(-5t)	\int\:-25\sin(-5t)dt
integral of (x^2-x-3)/(x^2-3x)	\int\:\frac{x^{2}-x-3}{x^{2}-3x}dx
derivative of arccos(e^{6x})	\frac{d}{dx}(\arccos(e^{6x}))
integral of (6t^2+4t)(t^3+t^2+1)^6	\int\:(6t^{2}+4t)(t^{3}+t^{2}+1)^{6}dt
limit as x approaches-2-of x+2	\lim\:_{x\to\:-2-}(x+2)
y^{''}+6y^'+8y=e^{5x},y(0)=2	y^{\prime\:\prime\:}+6y^{\prime\:}+8y=e^{5x},y(0)=2
(dy)/(dx)+7y=12	\frac{dy}{dx}+7y=12
parity sqrt((sin(x))/(1-sin(x)))	parity\:\sqrt{\frac{\sin(x)}{1-\sin(x)}}
derivative of ((5x+2)^5)/((4x+1)^4)	derivative\:\frac{(5x+2)^{5}}{(4x+1)^{4}}
y^{''}+4y=5	y^{\prime\:\prime\:}+4y=5
integral of 1/(3x-4)	\int\:\frac{1}{3x-4}dx
(\partial)/(\partial t)(e^{-9t}cos(pix))	\frac{\partial\:}{\partial\:t}(e^{-9t}\cos(πx))
6x(x+3y)y^'=6y(x-3y)	6x(x+3y)y^{\prime\:}=6y(x-3y)
(dy)/(dx)=x^2e^{-4x}-4y	\frac{dy}{dx}=x^{2}e^{-4x}-4y
limit as x approaches-1 of 2x^3-5x+6x-1	\lim\:_{x\to\:-1}(2x^{3}-5x+6x-1)
integral of (sec^2(x)+9)	\int\:(\sec^{2}(x)+9)dx
integral of e^{x+7}	\int\:e^{x+7}dx

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