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Popular Calculus Problems
derivative of f(x)=3x^2-2x
derivative\:f(x)=3x^{2}-2x
derivative of-9x^4
derivative\:-9x^{4}
integral of sin((pix)/2)
\int\:\sin(\frac{πx}{2})dx
derivative of ln(x-x^2)
derivative\:\ln(x-x^{2})
derivative of (4pix+3x^6/(sqrt(x)))
\frac{d}{dx}(\frac{4πx+3x^{6}}{\sqrt{x}})
limit as x approaches 0 of 7/x-7/(x^2+x)
\lim\:_{x\to\:0}(\frac{7}{x}-\frac{7}{x^{2}+x})
derivative of (2a+1)^2
derivative\:(2a+1)^{2}
inverse oflaplace (s+2)/(s^2+s+1)
inverselaplace\:\frac{s+2}{s^{2}+s+1}
integral from 1 to infinity of x^{-2}
\int\:_{1}^{\infty\:}x^{-2}dx
(\partial)/(\partial x)(arctan(x/2))
\frac{\partial\:}{\partial\:x}(\arctan(\frac{x}{2}))
derivative of ye^{-3x}
\frac{d}{dx}(ye^{-3x})
derivative of x^2+x-3
derivative\:x^{2}+x-3
derivative of-t^3+15t^2-72t
derivative\:-t^{3}+15t^{2}-72t
(\partial)/(\partial y)(sqrt(3x^2+4y^2))
\frac{\partial\:}{\partial\:y}(\sqrt{3x^{2}+4y^{2}})
limit as x approaches 0 of 1+cos^3(x)
\lim\:_{x\to\:0}(1+\cos^{3}(x))
y^'*sqrt(1+x^2)=xy^2
y^{\prime\:}\cdot\:\sqrt{1+x^{2}}=xy^{2}
derivative of sqrt(7+5x)
\frac{d}{dx}(\sqrt{7+5x})
f(x)= 1/(x+4)
f(x)=\frac{1}{x+4}
inverse oflaplace {(4s)/(4s^2+1)}
inverselaplace\:\left\{\frac{4s}{4s^{2}+1}\right\}
limit as x approaches 0 of 2x-x^2-x^3
\lim\:_{x\to\:0}(2x-x^{2}-x^{3})
integral of cos(x^5)
\int\:\cos(x^{5})dx
inverse oflaplace 3/(s^2-25)
inverselaplace\:\frac{3}{s^{2}-25}
derivative of sin(x)+7/4 cot(x)
derivative\:\sin(x)+\frac{7}{4}\cot(x)
slope of (x^2)/(x+7)
slope\:\frac{x^{2}}{x+7}
inverse oflaplace 1/(s^3+s^4)
inverselaplace\:\frac{1}{s^{3}+s^{4}}
derivative of 5xtan(x)
\frac{d}{dx}(5x\tan(x))
y^'=t+ty^2,y(2)=0
y^{\prime\:}=t+ty^{2},y(2)=0
derivative of (12/(x^3))
\frac{d}{dx}(\frac{12}{x^{3}})
derivative of (x-9xsqrt(x)/(sqrt(x)))
\frac{d}{dx}(\frac{x-9x\sqrt{x}}{\sqrt{x}})
derivative of f(x)= x/5
derivative\:f(x)=\frac{x}{5}
integral of y^4-8y^3+16y^2
\int\:y^{4}-8y^{3}+16y^{2}dy
(\partial)/(\partial y)(5e^y)
\frac{\partial\:}{\partial\:y}(5e^{y})
derivative of tan^2(x^2)
\frac{d}{dx}(\tan^{2}(x^{2}))
derivative of ((x+8)/(x^2))
\frac{d}{dx}(\frac{(x+8)}{x^{2}})
sum from n=1 to infinity of 1/(4+2^{-n)}
\sum\:_{n=1}^{\infty\:}\frac{1}{4+2^{-n}}
derivative of 4*\sqrt[3]{x+8}
\frac{d}{dx}(4\cdot\:\sqrt[3]{x+8})
derivative of (3/4 x)^4
derivative\:(\frac{3}{4}x)^{4}
integral of (3x)/pi cos(nx)
\int\:\frac{3x}{π}\cos(nx)dx
limit as x approaches 0 of e^x+7
\lim\:_{x\to\:0}(e^{x}+7)
limit as x approaches 2 of x^3-2x+1
\lim\:_{x\to\:2}(x^{3}-2x+1)
integral of sin^2(x)cos^4(x)
\int\:\sin^{2}(x)\cos^{4}(x)dx
integral of 6sec(x)tan(x)
\int\:6\sec(x)\tan(x)dx
derivative of (x^2-3^5)
\frac{d}{dx}((x^{2}-3)^{5})
integral of (2x)/(-x^2-1)
\int\:\frac{2x}{-x^{2}-1}dx
integral of ((2x^4+2\sqrt[5]{x}))/x
\int\:\frac{(2x^{4}+2\sqrt[5]{x})}{x}dx
limit as t approaches 0 of ((2+t)^3-8)/t
\lim\:_{t\to\:0}(\frac{(2+t)^{3}-8}{t})
limit as x approaches-2 of 4x+1
\lim\:_{x\to\:-2}(4x+1)
(dy)/(dt)=-5(y-2)
\frac{dy}{dt}=-5(y-2)
taylor (x+1)^5
taylor\:(x+1)^{5}
derivative of y= 2/3 x^{3/2}
derivative\:y=\frac{2}{3}x^{\frac{3}{2}}
derivative of xsqrt(169-x^2)
derivative\:x\sqrt{169-x^{2}}
integral of x/(sqrt(4x^2-1))
\int\:\frac{x}{\sqrt{4x^{2}-1}}dx
derivative of ln|ln(7x)|
derivative\:\ln\left|\ln(7x)\right|
integral from 0 to 4 of 5/(3x+1)
\int\:_{0}^{4}\frac{5}{3x+1}dx
tangent of 3^x
tangent\:3^{x}
y^'=-y/x+(e^x)/x
y^{\prime\:}=-\frac{y}{x}+\frac{e^{x}}{x}
(dy)/(dx)=((x-y))/(x+2y)
\frac{dy}{dx}=\frac{(x-y)}{x+2y}
integral from 0 to 1 of 2(1+sqrt(x))^7
\int\:_{0}^{1}2(1+\sqrt{x})^{7}dx
derivative of y=-4sin(x)
derivative\:y=-4\sin(x)
d/(dt)(2^{t^3})
\frac{d}{dt}(2^{t^{3}})
(\partial)/(\partial x)(4z^2-6sin(x))
\frac{\partial\:}{\partial\:x}(4z^{2}-6\sin(x))
(\partial)/(\partial x)(xyz^2-18)
\frac{\partial\:}{\partial\:x}(xyz^{2}-18)
inverse oflaplace 4/((s-1)^3)
inverselaplace\:\frac{4}{(s-1)^{3}}
limit as x approaches 0 of (x^2+8)/(x-1)
\lim\:_{x\to\:0}(\frac{x^{2}+8}{x-1})
derivative of (3x-1(2x+5))
\frac{d}{dx}((3x-1)(2x+5))
x^{''}-14x^'+49x=4te^{7t}
x^{\prime\:\prime\:}-14x^{\prime\:}+49x=4te^{7t}
tangent of x^3+4x
tangent\:x^{3}+4x
(\partial)/(\partial y)(x^2-x+{g}(y))
\frac{\partial\:}{\partial\:y}(x^{2}-x+{g}(y))
(dy)/(dx)=(y/((x+2y)))
\frac{dy}{dx}=(\frac{y}{(x+2y)})
integral of |3-x|
\int\:\left|3-x\right|dx
derivative of 1/x-1/(x^2)
\frac{d}{dx}(\frac{1}{x}-\frac{1}{x^{2}})
derivative of 2/(3x(\sqrt[3]{x^2+1)})
\frac{d}{dx}(\frac{2}{3x(\sqrt[3]{x^{2}}+1)})
((x^2+1)dy)/(dx)+8x(y-1)=0
\frac{(x^{2}+1)dy}{dx}+8x(y-1)=0
integral of (500+300sqrt(x))
\int\:(500+300\sqrt{x})dx
integral of (x+4)/(sqrt(x))
\int\:\frac{x+4}{\sqrt{x}}dx
derivative of f(x)=tan(pi/3)
derivative\:f(x)=\tan(\frac{π}{3})
derivative of (e^{ix}+e^{-ix}/2)
\frac{d}{dx}(\frac{e^{ix}+e^{-ix}}{2})
(\partial)/(\partial y)(x/(9+y))
\frac{\partial\:}{\partial\:y}(\frac{x}{9+y})
y^'+ycos(x)=sin(x)cos(x)
y^{\prime\:}+y\cos(x)=\sin(x)\cos(x)
tangent of f(x)=(ln(x))^6,\at x=4
tangent\:f(x)=(\ln(x))^{6},\at\:x=4
xy^'+2y=-3cos(x)
xy^{\prime\:}+2y=-3\cos(x)
derivative of x^2+6
derivative\:x^{2}+6
f(x)=ln(x)+1
f(x)=\ln(x)+1
derivative of x^3-x^2
derivative\:x^{3}-x^{2}
integral of (y-t)λe^{-λy}
\int\:(y-t)λe^{-λy}dy
integral of 11sin^2(x)cos^2(x)
\int\:11\sin^{2}(x)\cos^{2}(x)dx
(dy)/(dx)+(4/x)y=x^4
\frac{dy}{dx}+(\frac{4}{x})y=x^{4}
limit as x approaches 1 of x^{2/(1-x)}
\lim\:_{x\to\:1}(x^{\frac{2}{1-x}})
area 3/x , 3/(x^2),1,5
area\:\frac{3}{x},\frac{3}{x^{2}},1,5
derivative of (2x^2-xy+2y^2/(x-y))
\frac{d}{dx}(\frac{2x^{2}-xy+2y^{2}}{x-y})
integral of xsin(1/5)x
\int\:x\sin(\frac{1}{5})xdx
limit as x approaches 7.7 of 8.9x+8.8
\lim\:_{x\to\:7.7}(8.9x+8.8)
(\partial)/(\partial y)(2xy)
\frac{\partial\:}{\partial\:y}(2xy)
(\partial)/(\partial x)(3xsin(xy))
\frac{\partial\:}{\partial\:x}(3x\sin(xy))
integral of x^2+c
\int\:x^{2}+cdx
derivative of ((x+1(x^2+1))/(x-2))
\frac{d}{dx}(\frac{(x+1)(x^{2}+1)}{x-2})
derivative of f(x)=x^2(x^3-1)
derivative\:f(x)=x^{2}(x^{3}-1)
integral of 17ln(\sqrt[3]{x})
\int\:17\ln(\sqrt[3]{x})dx
integral of (x^3-5x^2-2)/(x^3)
\int\:\frac{x^{3}-5x^{2}-2}{x^{3}}dx
derivative of (sqrt(9-x^2))/(8x)
derivative\:\frac{\sqrt{9-x^{2}}}{8x}
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