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Popular Calculus Problems
derivative of y=(9sqrt(x)+5)x^2
derivative\:y=(9\sqrt{x}+5)x^{2}
sum from n=1 to infinity of (1^n)/(n+2)
\sum\:_{n=1}^{\infty\:}\frac{1^{n}}{n+2}
limit as x approaches 2-of cx^2+6x
\lim\:_{x\to\:2-}(cx^{2}+6x)
integral of (x^2+32x-16)/(x^3-16x)
\int\:\frac{x^{2}+32x-16}{x^{3}-16x}dx
integral of (-3x+4)
\int\:(-3x+4)dx
(\partial)/(\partial x)((y+z)(arcsin(x)))
\frac{\partial\:}{\partial\:x}((y+z)(\arcsin(x)))
integral of (6x^2-8x)
\int\:(6x^{2}-8x)dx
y^{''}+4y^'+5=0
y^{\prime\:\prime\:}+4y^{\prime\:}+5=0
integral of-7x^6
\int\:-7x^{6}dx
derivative of y=(-3-5y)/(-8y+5x)
derivative\:y=\frac{-3-5y}{-8y+5x}
(t^2-xt^2)(dx)/(dt)+x^2+tx^2=0
(t^{2}-xt^{2})\frac{dx}{dt}+x^{2}+tx^{2}=0
integral from 0 to 1 of xe^{-3x}
\int\:_{0}^{1}xe^{-3x}dx
integral of (5t)/(sqrt(1-25t^4))
\int\:\frac{5t}{\sqrt{1-25t^{4}}}dt
derivative of cot(csc(x))
derivative\:\cot(\csc(x))
derivative of g(x)= 1/(x+4)
derivative\:g(x)=\frac{1}{x+4}
integral from 1 to 5 of 1/(sqrt(x-1))
\int\:_{1}^{5}\frac{1}{\sqrt{x-1}}dx
(\partial)/(\partial x)(e^{x*e^y})
\frac{\partial\:}{\partial\:x}(e^{x\cdot\:e^{y}})
taylor ln(1-3x)
taylor\:\ln(1-3x)
simplify (sec(x))/(1+sec(x))
simplify\:\frac{\sec(x)}{1+\sec(x)}
integral from 4 to 6 of f(x)
\int\:_{4}^{6}f(x)dx
derivative of-1/(x+1^2)
derivative\:-\frac{1}{x+1^{2}}
derivative of sqrt(5+\sqrt{3+\sqrt{x)}}
derivative\:\sqrt{5+\sqrt{3+\sqrt{x}}}
derivative of f(x)=(x-1)/(x^2+4)
derivative\:f(x)=\frac{x-1}{x^{2}+4}
limit as x approaches-2 of (x+4)^2
\lim\:_{x\to\:-2}((x+4)^{2})
tangent of y=(3x)/(x^2-6),(3,3)
tangent\:y=\frac{3x}{x^{2}-6},(3,3)
limit as x approaches 1-of (x-5)/(ln(x))
\lim\:_{x\to\:1-}(\frac{x-5}{\ln(x)})
integral of x^{1/2}(-6+6x)
\int\:x^{\frac{1}{2}}(-6+6x)dx
integral from 0 to 3 of 1/(sqrt(9+t^2))
\int\:_{0}^{3}\frac{1}{\sqrt{9+t^{2}}}dt
sum from n=0 to infinity of (0.8)^n
\sum\:_{n=0}^{\infty\:}(0.8)^{n}
derivative of (3x^2+x^2)
\frac{d}{dx}((3x^{2}+x)^{2})
derivative of (e^{(x^2}+4)^2(4x)^{3x})
\frac{d}{dx}((e^{(x^{2})}+4)^{2}(4x)^{3x})
d/(dt)(tsin(pi)t)
\frac{d}{dt}(t\sin(π)t)
derivative of 9x-x^2
\frac{d}{dx}(9x-x^{2})
derivative of e^{5-3x}
\frac{d}{dx}(e^{5-3x})
(\partial)/(\partial x)(x(1-x^2-y^2))
\frac{\partial\:}{\partial\:x}(x(1-x^{2}-y^{2}))
derivative of f(x)=3^{2x^2+3x-1}
derivative\:f(x)=3^{2x^{2}+3x-1}
derivative of 2x^2-x+1
\frac{d}{dx}(2x^{2}-x+1)
tangent of f(x)=sqrt(x^2-x+7),\at x=2
tangent\:f(x)=\sqrt{x^{2}-x+7},\at\:x=2
slope of xy-5y^2=4(12.2)
slope\:xy-5y^{2}=4(12.2)
integral from-3 to 4 of 8/(x^3)
\int\:_{-3}^{4}\frac{8}{x^{3}}dx
(dy)/(dx)+1/x y=5x^2
\frac{dy}{dx}+\frac{1}{x}y=5x^{2}
derivative of (a+bx/(a-bx))
\frac{d}{dx}(\frac{a+bx}{a-bx})
y^'+10y=t+e^{-5t}
y^{\prime\:}+10y=t+e^{-5t}
derivative of x^2*cos(x^2)
\frac{d}{dx}(x^{2}\cdot\:\cos(x^{2}))
integral of (e^{-x}+4^x)
\int\:(e^{-x}+4^{x})dx
derivative of G(r)=sqrt(r)+\sqrt[4]{r}
derivative\:G(r)=\sqrt{r}+\sqrt[4]{r}
integral of 1/(sqrt(x^2-8x))
\int\:\frac{1}{\sqrt{x^{2}-8x}}dx
(\partial)/(\partial x)(2ycos(xy))
\frac{\partial\:}{\partial\:x}(2y\cos(xy))
limit as x approaches-3 of sqrt(-4x+8)
\lim\:_{x\to\:-3}(\sqrt{-4x+8})
(\partial)/(\partial x)(1/(ln(x)))
\frac{\partial\:}{\partial\:x}(\frac{1}{\ln(x)})
(\partial)/(\partial x)(e^{x^2+y^2+z^2})
\frac{\partial\:}{\partial\:x}(e^{x^{2}+y^{2}+z^{2}})
(\partial)/(\partial x)(x/(x+y))
\frac{\partial\:}{\partial\:x}(\frac{x}{x+y})
(\partial)/(\partial y)(ln(x-5y))
\frac{\partial\:}{\partial\:y}(\ln(x-5y))
area x^2+4x+3,y=-2,-2<x<0
area\:x^{2}+4x+3,y=-2,-2<x<0
derivative of 51
derivative\:51
area x=y+2,x=y^2
area\:x=y+2,x=y^{2}
derivative of 1/(7-6e^x)
derivative\:\frac{1}{7-6e^{x}}
(\partial)/(\partial x)(-400x(y-x^2)-2(1-x))
\frac{\partial\:}{\partial\:x}(-400x(y-x^{2})-2(1-x))
y^'=sin(x-y)
y^{\prime\:}=\sin(x-y)
derivative of cx^{-6}
\frac{d}{dx}(cx^{-6})
integral of (x+1)(2x-1)
\int\:(x+1)(2x-1)dx
derivative of 1/(x+6)
derivative\:\frac{1}{x+6}
integral of 1/(x(ln(x))^{15)}
\int\:\frac{1}{x(\ln(x))^{15}}dx
derivative of (2x^3-7^8)
\frac{d}{dx}((2x^{3}-7)^{8})
derivative of ln(x/2 (x-2))
\frac{d}{dx}(\ln(\frac{x}{2})(x-2))
limit as x approaches 0-of (x+10)/(x^2)
\lim\:_{x\to\:0-}(\frac{x+10}{x^{2}})
integral of (8x^4+4x^3-6x^2-4x+5)
\int\:(8x^{4}+4x^{3}-6x^{2}-4x+5)dx
derivative of \sqrt[5]{x}+2sqrt(x^5)
\frac{d}{dx}(\sqrt[5]{x}+2\sqrt{x^{5}})
derivative of f(x)=(5x^3+6x^2+4)^8
derivative\:f(x)=(5x^{3}+6x^{2}+4)^{8}
tangent of y=sin(sin(x)),(2pi,0)
tangent\:y=\sin(\sin(x)),(2π,0)
y^{''}+5y^'+4y=8x^2+6e^{-x}
y^{\prime\:\prime\:}+5y^{\prime\:}+4y=8x^{2}+6e^{-x}
integral of xsin(1/10 x)
\int\:x\sin(\frac{1}{10}x)dx
integral of sqrt(x+1)ln(x+1)
\int\:\sqrt{x+1}\ln(x+1)dx
integral of 5x(2+3x^2)^8
\int\:5x(2+3x^{2})^{8}dx
inverse oflaplace (10)/(s^3+s^2+10s)
inverselaplace\:\frac{10}{s^{3}+s^{2}+10s}
derivative of (x^2+1^{2x-x^2})
\frac{d}{dx}((x^{2}+1)^{2x-x^{2}})
d/(dy)(-arctan(x/y))
\frac{d}{dy}(-\arctan(\frac{x}{y}))
integral from 0 to pi of 9sin^2(tco)s^4t
\int\:_{0}^{π}9\sin^{2}(tco)s^{4}tdt
integral of 6tan^2(x)
\int\:6\tan^{2}(x)dx
integral of x^2-4x+8
\int\:x^{2}-4x+8dx
derivative of log_{7}(x^2+e^x-ln(ln(x)))
\frac{d}{dx}(\log_{7}(x^{2}+e^{x})-\ln(\ln(x)))
derivative of 25-x^2
\frac{d}{dx}(25-x^{2})
(\partial)/(\partial y)(2x+y-1)
\frac{\partial\:}{\partial\:y}(2x+y-1)
derivative of 3tsin(pit)
derivative\:3t\sin(πt)
derivative of ln(tan(x/2))
\frac{d}{dx}(\ln(\tan(\frac{x}{2})))
limit as x approaches-2 of (1-x^2)/(x+2)
\lim\:_{x\to\:-2}(\frac{1-x^{2}}{x+2})
inverse oflaplace (e^{-5s})/(s+1)
inverselaplace\:\frac{e^{-5s}}{s+1}
limit as x approaches-2+of (2x-1)/(x+2)
\lim\:_{x\to\:-2+}(\frac{2x-1}{x+2})
y^{''}+4y=sin^2(x)
y^{\prime\:\prime\:}+4y=\sin^{2}(x)
integral of \sqrt[3]{tan(4x)}sec^2(4x)
\int\:\sqrt[3]{\tan(4x)}\sec^{2}(4x)dx
y^{''}-y^'-6y=0,y(0)=2,y^'(0)=-1
y^{\prime\:\prime\:}-y^{\prime\:}-6y=0,y(0)=2,y^{\prime\:}(0)=-1
limit as x approaches 0 of (sin(x^2))/x
\lim\:_{x\to\:0}(\frac{\sin(x^{2})}{x})
derivative of 20+0.6sqrt(x)
\frac{d}{dx}(20+0.6\sqrt{x})
derivative of (e^{3x})/(x^6)
derivative\:\frac{e^{3x}}{x^{6}}
(\partial)/(\partial x)((e^x)/(y+x^9))
\frac{\partial\:}{\partial\:x}(\frac{e^{x}}{y+x^{9}})
y^'=(((y-y^2)t))/(1+t^2),y(0)= 1/2
y^{\prime\:}=\frac{((y-y^{2})t)}{1+t^{2}},y(0)=\frac{1}{2}
integral of 2t^{3/2}
\int\:2t^{\frac{3}{2}}dt
integral of 9/((x-7)(x+2))
\int\:\frac{9}{(x-7)(x+2)}dx
(dx)/(dt)=xb
\frac{dx}{dt}=xb
derivative of 2x^3e^{-x}
derivative\:2x^{3}e^{-x}
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