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Popular Calculus Problems
derivative of ln(3)x^4
derivative\:\ln(3)x^{4}
derivative of x^{2/3}(x-5)
derivative\:x^{\frac{2}{3}}(x-5)
derivative of f(x)=(ln(15-23x^2))/(8x^5)
derivative\:f(x)=\frac{\ln(15-23x^{2})}{8x^{5}}
integral of (4x+3)
\int\:(4x+3)dx
(\partial)/(\partial y)((x^2+y^2)e^{-y})
\frac{\partial\:}{\partial\:y}((x^{2}+y^{2})e^{-y})
(\partial)/(\partial u)(3vsin(u))
\frac{\partial\:}{\partial\:u}(3v\sin(u))
derivative of (2^x/x)
\frac{d}{dx}(\frac{2^{x}}{x})
limit as x approaches 0 of ((5^x-7^x))/x
\lim\:_{x\to\:0}(\frac{(5^{x}-7^{x})}{x})
derivative of (-2x^3+x^2-2x-1x^3)
\frac{d}{dx}((-2x^{3}+x^{2}-2x-1)x^{3})
(\partial)/(\partial v)({u}(v)(v)^2e^v)
\frac{\partial\:}{\partial\:v}({u}(v)(v)^{2}e^{v})
derivative of (dy/(dx))=0
\frac{d}{dx}(\frac{dy}{dx})=0
derivative of (6x^2+8x+2)/(sqrt(x))
derivative\:\frac{6x^{2}+8x+2}{\sqrt{x}}
(\partial)/(\partial x)(ln((y^9)/(x^7)))
\frac{\partial\:}{\partial\:x}(\ln(\frac{y^{9}}{x^{7}}))
limit as x approaches 0 of+((ln(x))/x)
\lim\:_{x\to\:0}(+(\frac{\ln(x)}{x}))
(\partial)/(\partial x)(xe^{-x})
\frac{\partial\:}{\partial\:x}(xe^{-x})
integral of (9-y)sqrt(y)
\int\:(9-y)\sqrt{y}dy
sum from n=1 to infinity of (cos(24))^n
\sum\:_{n=1}^{\infty\:}(\cos(24))^{n}
limit as x approaches 0 of (x^2)/2-2/x
\lim\:_{x\to\:0}(\frac{x^{2}}{2}-\frac{2}{x})
f(x)=arccos(x/2)
f(x)=\arccos(\frac{x}{2})
d/(dy)(xy+y)
\frac{d}{dy}(xy+y)
slope ofintercept (-5,5),(3,-4)
slopeintercept\:(-5,5),(3,-4)
integral of (ln(x^3))^2
\int\:(\ln(x^{3}))^{2}dx
5y^'+45y=9
5y^{\prime\:}+45y=9
derivative of ln(x^2-2x)
derivative\:\ln(x^{2}-2x)
integral of 1/(12x^3)
\int\:\frac{1}{12x^{3}}dx
integral of log_{2}(x+2)
\int\:\log_{2}(x+2)dx
integral from 0 to 1 of e^x-1
\int\:_{0}^{1}e^{x}-1dx
integral of sin(ln(6x))
\int\:\sin(\ln(6x))dx
derivative of 2*\sqrt[3]{x}
\frac{d}{dx}(2\cdot\:\sqrt[3]{x})
derivative of f(x)=-4x+8
derivative\:f(x)=-4x+8
sum from n=5 to infinity of (7^n)/(8^n)
\sum\:_{n=5}^{\infty\:}\frac{7^{n}}{8^{n}}
(dy)/(dx)=7^xln(7)+2/(x^2+1)
\frac{dy}{dx}=7^{x}\ln(7)+\frac{2}{x^{2}+1}
(d^3)/(dx^3)((10)/(x^2))
\frac{d^{3}}{dx^{3}}(\frac{10}{x^{2}})
integral of (-e^{-x})
\int\:(-e^{-x})dx
derivative of (x^2-4/(x^2-3))
\frac{d}{dx}(\frac{x^{2}-4}{x^{2}-3})
sum from i=0 to infinity of (1/3)^i
\sum\:_{i=0}^{\infty\:}(\frac{1}{3})^{i}
(\partial)/(\partial x)(1/(1+x^2+y^2))
\frac{\partial\:}{\partial\:x}(\frac{1}{1+x^{2}+y^{2}})
derivative of x^3+e^{2x}
\frac{d}{dx}(x^{3}+e^{2x})
limit as x approaches 2 of x^2+3x-1
\lim\:_{x\to\:2}(x^{2}+3x-1)
(\partial)/(\partial x)((4x-6y)/(y^2+2x^2))
\frac{\partial\:}{\partial\:x}(\frac{4x-6y}{y^{2}+2x^{2}})
derivative of sin(ln(cos(x)))
\frac{d}{dx}(\sin(\ln(\cos(x))))
derivative of (5x^2-9x+13/(2x+4))
\frac{d}{dx}(\frac{5x^{2}-9x+13}{2x+4})
limit as x approaches 6 of (6+x)/x
\lim\:_{x\to\:6}(\frac{6+x}{x})
integral of (2x^3-1)/(x+x^4)
\int\:\frac{2x^{3}-1}{x+x^{4}}dx
derivative of f(x)=tan^2(x^3)
derivative\:f(x)=\tan^{2}(x^{3})
integral of ln(21t)
\int\:\ln(21t)dt
tangent of f(x)=2x^3+3x^2-12x+4,\at x=0
tangent\:f(x)=2x^{3}+3x^{2}-12x+4,\at\:x=0
(\partial)/(\partial x)(1/((x-y)))
\frac{\partial\:}{\partial\:x}(\frac{1}{(x-y)})
integral of e^{x+9e^x}
\int\:e^{x+9e^{x}}dx
area y=2x^{1/3},0<= x<= 32
area\:y=2x^{\frac{1}{3}},0\le\:x\le\:32
4(3x+y-2)dx-(3x+y)dy=0
4(3x+y-2)dx-(3x+y)dy=0
derivative of arcsin(x-sqrt(1-x^2))
\frac{d}{dx}(\arcsin(x)-\sqrt{1-x^{2}})
y^'=(-y)/(40-t)
y^{\prime\:}=\frac{-y}{40-t}
integral of 2(1+tan^2(a))
\int\:2(1+\tan^{2}(a))da
limit as x approaches 0 of sec^2(x)
\lim\:_{x\to\:0}(\sec^{2}(x))
derivative of 380000x-1/32 x^2
\frac{d}{dx}(380000x-\frac{1}{32}x^{2})
integral of (4x-8y^3)
\int\:(4x-8y^{3})dy
integral of-1/4 cos(2x)
\int\:-\frac{1}{4}\cos(2x)dx
y^{''}-2y^'+y=24x^2e^x
y^{\prime\:\prime\:}-2y^{\prime\:}+y=24x^{2}e^{x}
derivative of e^{cot(x)}
derivative\:e^{\cot(x)}
(sin(θ))^'
(\sin(θ))^{\prime\:}
integral of x/t
\int\:\frac{x}{t}dt
derivative of sqrt(x^3)+\sqrt[3]{x^2}
\frac{d}{dx}(\sqrt{x^{3}}+\sqrt[3]{x^{2}})
derivative of 24cos(3x)
\frac{d}{dx}(24\cos(3x))
derivative of-3sin(3x)
derivative\:-3\sin(3x)
d/(dt)(8t^{3/2})
\frac{d}{dt}(8t^{\frac{3}{2}})
y^{''}+4y=csc(2x)
y^{\prime\:\prime\:}+4y=\csc(2x)
y^{''}-4y^'+4y=((e^{2x}))/(x^2)
y^{\prime\:\prime\:}-4y^{\prime\:}+4y=\frac{(e^{2x})}{x^{2}}
area e^x,e^{-4},4,0
area\:e^{x},e^{-4},4,0
derivative of (440t)/((t^2+7)^3)
derivative\:\frac{440t}{(t^{2}+7)^{3}}
integral of tan^4(x)cos^5(x)
\int\:\tan^{4}(x)\cos^{5}(x)dx
tangent of f(x)=e^x,\at x=2
tangent\:f(x)=e^{x},\at\:x=2
derivative of y=4^{-x}
derivative\:y=4^{-x}
d/(dy)(e^{5y})
\frac{d}{dy}(e^{5y})
tangent of f(x)=sin(2x),\at x= pi/4
tangent\:f(x)=\sin(2x),\at\:x=\frac{π}{4}
limit as h approaches+0 of (((x+h)-x))/h
\lim\:_{h\to\:+0}(\frac{((x+h)-x)}{h})
derivative of ((a+bx^n/(a-bx^n))^m)
\frac{d}{dx}((\frac{a+bx^{n}}{a-bx^{n}})^{m})
limit as x approaches infinity of (8\sqrt[x]{x^4})/9
\lim\:_{x\to\:\infty\:}(\frac{8\sqrt[x]{x^{4}}}{9})
limit as x approaches 3-of (9-2x)/3
\lim\:_{x\to\:3-}(\frac{9-2x}{3})
integral of e^{5x}sin(6x)
\int\:e^{5x}\sin(6x)dx
inverse oflaplace (s-1)/(s+1)
inverselaplace\:\frac{s-1}{s+1}
(\partial)/(\partial y)(x^2-xy+4y^2)
\frac{\partial\:}{\partial\:y}(x^{2}-xy+4y^{2})
limit as x approaches 2 of 2x-7
\lim\:_{x\to\:2}(2x-7)
derivative of (sin(2x)/(cos(x)))
\frac{d}{dx}(\frac{\sin(2x)}{\cos(x)})
derivative of 4^{cos(x})
\frac{d}{dx}(4^{\cos(x)})
integral of (x^3)/((x^2+1)^2)
\int\:\frac{x^{3}}{(x^{2}+1)^{2}}dx
limit as x approaches-5 of (x-5)/(x+5)
\lim\:_{x\to\:-5}(\frac{x-5}{x+5})
area x^2,9
area\:x^{2},9
xy^'+y=50sqrt(x)
xy^{\prime\:}+y=50\sqrt{x}
derivative of f(x)=(8x)/(e^x)
derivative\:f(x)=\frac{8x}{e^{x}}
(dx)/(dt)=5x(7-x)
\frac{dx}{dt}=5x(7-x)
cos(x+y)dy=sin(x+y)dx
\cos(x+y)dy=\sin(x+y)dx
integral of 1/((625+x^2)^{3/2)}
\int\:\frac{1}{(625+x^{2})^{\frac{3}{2}}}dx
integral of sqrt(2+2cos(θ))
\int\:\sqrt{2+2\cos(θ)}dθ
y^3-(10x+2)+3xy^2y^'=0
y^{3}-(10x+2)+3xy^{2}y^{\prime\:}=0
integral of 6e^{7x}
\int\:6e^{7x}dx
derivative of 1/2 x^3+3/(2x)
\frac{d}{dx}(\frac{1}{2}x^{3}+\frac{3}{2x})
y^{''}-8y^'+16y=0,y(0)=1,y^'(0)=2
y^{\prime\:\prime\:}-8y^{\prime\:}+16y=0,y(0)=1,y^{\prime\:}(0)=2
derivative of c^1e^{-x}+c^2e^{2x}
\frac{d}{dx}(c^{1}e^{-x}+c^{2}e^{2x})
derivative of y= 5/(2x^3)
derivative\:y=\frac{5}{2x^{3}}
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