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Popular Calculus Problems
simplify (1+2/x)^x
simplify\:(1+\frac{2}{x})^{x}
integral of 3/(sqrt(x^2+4))
\int\:\frac{3}{\sqrt{x^{2}+4}}dx
derivative of-sin(2t)
derivative\:-\sin(2t)
derivative of y=arctan(4t)
derivative\:y=\arctan(4t)
limit as x approaches 2-of 2-x^2
\lim\:_{x\to\:2-}(2-x^{2})
x^2(dy)/(dx)=2y
x^{2}\frac{dy}{dx}=2y
((g(t))/(f(t)))'
(\frac{g(t)}{f(t)})\prime\:
derivative of ln(sqrt(1-x^2))
derivative\:\ln(\sqrt{1-x^{2}})
derivative of ae^{-ax}
\frac{d}{dx}(ae^{-ax})
derivative of sin(-6x)
\frac{d}{dx}(\sin(-6x))
integral of (2x-5)e^x
\int\:(2x-5)e^{x}dx
limit as x approaches 0+of 2x^{sqrt(x)}
\lim\:_{x\to\:0+}(2x^{\sqrt{x}})
integral of (ln(x+sqrt(1+x^2)))
\int\:(\ln(x+\sqrt{1+x^{2}}))dx
(\partial)/(\partial x)(x*e^y)
\frac{\partial\:}{\partial\:x}(x\cdot\:e^{y})
limit as x approaches infinity of 9x^2-1
\lim\:_{x\to\:\infty\:}(9x^{2}-1)
tangent of y= 4/3 x^3-5x+4
tangent\:y=\frac{4}{3}x^{3}-5x+4
derivative of 4x\sqrt[3]{x^4}
\frac{d}{dx}(4x\sqrt[3]{x^{4}})
integral of (x^2)/((9-25x^2)^{5/2)}
\int\:\frac{x^{2}}{(9-25x^{2})^{\frac{5}{2}}}dx
derivative of sqrt((1-x)/(1+x))
derivative\:\sqrt{\frac{1-x}{1+x}}
derivative of 1/5 e^x
\frac{d}{dx}(\frac{1}{5}e^{x})
limit as x approaches 2 of (2^x-4)/(x-2)
\lim\:_{x\to\:2}(\frac{2^{x}-4}{x-2})
area y=e^x,y=x,x=0,x=2
area\:y=e^{x},y=x,x=0,x=2
integral of (6x^2+13x+6)/((x+2)(x+1)^2)
\int\:\frac{6x^{2}+13x+6}{(x+2)(x+1)^{2}}dx
tangent of y=e^{x^3},(-1, 1/e)
tangent\:y=e^{x^{3}},(-1,\frac{1}{e})
derivative of ((y-2)^3)/((y^2+4y)^7)
derivative\:\frac{(y-2)^{3}}{(y^{2}+4y)^{7}}
limit as x approaches+3 of sqrt(f(x))
\lim\:_{x\to\:+3}(\sqrt{f(x)})
limit as x approaches 90 of sin(x)
\lim\:_{x\to\:90}(\sin(x))
(dy)/(dx)= x/(16y)
\frac{dy}{dx}=\frac{x}{16y}
(dy)/(dx)=7xsqrt(y)
\frac{dy}{dx}=7x\sqrt{y}
limit as x approaches-1 of (sin(x))/x
\lim\:_{x\to\:-1}(\frac{\sin(x)}{x})
e^{x+y}(dy)/(dx)=2x+xe^y
e^{x+y}\frac{dy}{dx}=2x+xe^{y}
derivative of (125)/(x^2+25)
derivative\:\frac{125}{x^{2}+25}
derivative of x^4-4x^2+2
\frac{d}{dx}(x^{4}-4x^{2}+2)
(\partial)/(\partial x)(-(x^2+y^2))
\frac{\partial\:}{\partial\:x}(-(x^{2}+y^{2}))
limit as x approaches 1-of 2x+2
\lim\:_{x\to\:1-}(2x+2)
tangent of-3x^2-8x
tangent\:-3x^{2}-8x
y^{''}+8y^'+16y=0
y^{\prime\:\prime\:}+8y^{\prime\:}+16y=0
(dy)/(dx)=x^5y
\frac{dy}{dx}=x^{5}y
d/(dt)((t^2+2)/(t^4-3t^2+1))
\frac{d}{dt}(\frac{t^{2}+2}{t^{4}-3t^{2}+1})
derivative of 4sin^2(2x)
\frac{d}{dx}(4\sin^{2}(2x))
(\partial)/(\partial y)(4x^3y^3-4)
\frac{\partial\:}{\partial\:y}(4x^{3}y^{3}-4)
y^{''}-2y^'-4y=0
y^{\prime\:\prime\:}-2y^{\prime\:}-4y=0
limit as x approaches 2 of 6x^3+1
\lim\:_{x\to\:2}(6x^{3}+1)
d/(dt)(1-t)
\frac{d}{dt}(1-t)
(\partial)/(\partial x)(2-x^4+2x^2-y^2)
\frac{\partial\:}{\partial\:x}(2-x^{4}+2x^{2}-y^{2})
derivative of ((e^x)/(1+x))
\frac{d}{dx}(\frac{(e^{x})}{1+x})
(\partial)/(\partial x)(-10e^{-5x^2-y^2}x)
\frac{\partial\:}{\partial\:x}(-10e^{-5x^{2}-y^{2}}x)
derivative of 2/(3\sqrt[3]{x})
\frac{d}{dx}(\frac{2}{3\sqrt[3]{x}})
integral of-0.2t^2+3
\int\:-0.2t^{2}+3dt
(\partial)/(\partial x)(sin(pi*x))
\frac{\partial\:}{\partial\:x}(\sin(π\cdot\:x))
integral of xsin(xy)
\int\:x\sin(xy)dy
derivative of cos^3(4x)
\frac{d}{dx}(\cos^{3}(4x))
limit as x approaches 2 of x^3+2x+1
\lim\:_{x\to\:2}(x^{3}+2x+1)
slope of (3,-8),(-5,-7)
slope\:(3,-8),(-5,-7)
integral of 7x^{3/2}
\int\:7x^{\frac{3}{2}}dx
derivative of y=(3x-7)/(2x+4)
derivative\:y=\frac{3x-7}{2x+4}
laplacetransform sin^2(3t)
laplacetransform\:\sin^{2}(3t)
(\partial)/(\partial x)(2x^3+6xy-2y^4)
\frac{\partial\:}{\partial\:x}(2x^{3}+6xy-2y^{4})
derivative of (sqrt(x^2+1))/(2x-3)
derivative\:\frac{\sqrt{x^{2}+1}}{2x-3}
implicit x^2=(4x+y)/(4x-y)
implicit\:x^{2}=\frac{4x+y}{4x-y}
integral of (2x)/(sqrt(4-x^4))
\int\:\frac{2x}{\sqrt{4-x^{4}}}dx
integral of (x+4)/(x^3)
\int\:\frac{x+4}{x^{3}}dx
f(x)=sqrt(2x-1)
f(x)=\sqrt{2x-1}
integral of (4x^7-3cos(x))
\int\:(4x^{7}-3\cos(x))dx
derivative of f(x)=4x+8
derivative\:f(x)=4x+8
y^'=-x-y
y^{\prime\:}=-x-y
limit as x approaches 1+of 4sqrt(x-1)
\lim\:_{x\to\:1+}(4\sqrt{x-1})
limit as x approaches infinity of 3e^x
\lim\:_{x\to\:\infty\:}(3e^{x})
sum from n=0 to infinity of e^{(-9n)/2}
\sum\:_{n=0}^{\infty\:}e^{\frac{-9n}{2}}
(\partial)/(\partial y)(-6xe^y)
\frac{\partial\:}{\partial\:y}(-6xe^{y})
sum from n=0 to infinity of (5n+1)(-x)^n
\sum\:_{n=0}^{\infty\:}(5n+1)(-x)^{n}
limit as x approaches (1)+of x-1
\lim\:_{x\to\:(1)+}(x-1)
tangent of ln(x+sqrt(x^2+1))
tangent\:\ln(x+\sqrt{x^{2}+1})
derivative of f(x)= 1/(1+e^{-x)}
derivative\:f(x)=\frac{1}{1+e^{-x}}
derivative of (x+1e^{x^2-4})
\frac{d}{dx}((x+1)e^{x^{2}-4})
integral of cos(pi/2 x)
\int\:\cos(\frac{π}{2}x)dx
derivative of (4x^2-x(x^3-8x^2+12))
\frac{d}{dx}((4x^{2}-x)(x^{3}-8x^{2}+12))
slope of f(x)=x^2+3
slope\:f(x)=x^{2}+3
limit as x approaches 1 of 4x-4/(x-1)
\lim\:_{x\to\:1}(4x-\frac{4}{x-1})
integral of x^pln(x)
\int\:x^{p}\ln(x)dx
f(x)=(x^2+9)^{1/2}
f(x)=(x^{2}+9)^{\frac{1}{2}}
derivative of 5^y
derivative\:5^{y}
integral of (r^3+1)^2r^2
\int\:(r^{3}+1)^{2}r^{2}dr
derivative of (1-ln(x))/(x^2)
derivative\:\frac{1-\ln(x)}{x^{2}}
integral from 4 to 15 of 6x^{-2}
\int\:_{4}^{15}6x^{-2}dx
derivative of 4x^{5/4}+8x^{3/2}+2x
derivative\:4x^{\frac{5}{4}}+8x^{\frac{3}{2}}+2x
d/(ds)((s+2)/(s^2+4s+13))
\frac{d}{ds}(\frac{s+2}{s^{2}+4s+13})
tangent of f(x)=x^2+6,(5,31)
tangent\:f(x)=x^{2}+6,(5,31)
integral of e^{-t^2}
\int\:e^{-t^{2}}dt
integral of 1/(z^2sqrt(a^2-x^2))
\int\:\frac{1}{z^{2}\sqrt{a^{2}-x^{2}}}dz
taylor x^3 16/3
taylor\:x^{3}\frac{16}{3}
derivative of f(x)=2sin(x)+sin^2(x)
derivative\:f(x)=2\sin(x)+\sin^{2}(x)
laplacetransform 6
laplacetransform\:6
(dy)/(dx)=(7x+4y)/(7x+4y+4)
\frac{dy}{dx}=\frac{7x+4y}{7x+4y+4}
x(x+1)(dy)/(dx)+xy=1
x(x+1)\frac{dy}{dx}+xy=1
derivative of (ln(x)/(1+ln(2x)))
\frac{d}{dx}(\frac{\ln(x)}{1+\ln(2x)})
integral from 0 to 1 of (x^2+1)^{10}(2x)
\int\:_{0}^{1}(x^{2}+1)^{10}(2x)dx
derivative of 2tan(x+tan^2(x))
\frac{d}{dx}(2\tan(x)+\tan^{2}(x))
integral of e^{-10x^2}
\int\:e^{-10x^{2}}dx
integral from-1 to 2 of x^2
\int\:_{-1}^{2}x^{2}dx
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