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Popular Calculus Problems
derivative of sqrt(9+2x)
derivative\:\sqrt{9+2x}
integral of x^2y^3
\int\:x^{2}y^{3}dx
sum from n=1 to infinity of nx^{n-1}
\sum\:_{n=1}^{\infty\:}nx^{n-1}
integral of 3x^2e^{5x^3}
\int\:3x^{2}e^{5x^{3}}dx
sum from n=1 to infinity of (ln(9n))/n
\sum\:_{n=1}^{\infty\:}\frac{\ln(9n)}{n}
derivative of ln(1+9x)
\frac{d}{dx}(\ln(1+9x))
e^{-x}y(dy)/(dx)=e^{-y}+e^{-2x-y}
e^{-x}y\frac{dy}{dx}=e^{-y}+e^{-2x-y}
integral of 1/(sqrt(x^2-9))
\int\:\frac{1}{\sqrt{x^{2}-9}}dx
integral of (4e^{3x})/(1+e^{3x)}
\int\:\frac{4e^{3x}}{1+e^{3x}}dx
limit as x approaches 0 of 1+3^x
\lim\:_{x\to\:0}(1+3^{x})
integral of x^2sqrt(x^3+7)
\int\:x^{2}\sqrt{x^{3}+7}dx
implicit (dy)/(dx),2x^2+2x+xy=1
implicit\:\frac{dy}{dx},2x^{2}+2x+xy=1
f(x)=e^x-x^e
f(x)=e^{x}-x^{e}
(\partial)/(\partial x)(A^2x^2+B^2y^2)
\frac{\partial\:}{\partial\:x}(A^{2}x^{2}+B^{2}y^{2})
derivative of (log_{10}(x)/x)
\frac{d}{dx}(\frac{\log_{10}(x)}{x})
integral of 1/(x(\sqrt[9]{x))}
\int\:\frac{1}{x(\sqrt[9]{x})}dx
sum from n=0 to infinity of 1/(0.5^n)
\sum\:_{n=0}^{\infty\:}\frac{1}{0.5^{n}}
(12-6y+e^{-3x})dx-2dy=0
(12-6y+e^{-3x})dx-2dy=0
integral of (x^3)/(x^4+10)
\int\:\frac{x^{3}}{x^{4}+10}dx
(sin^3(t))^'
(\sin^{3}(t))^{\prime\:}
y^{''}=-4y+e^x
y^{\prime\:\prime\:}=-4y+e^{x}
integral of (x^2-3x-8)/(x^2-2x+1)
\int\:\frac{x^{2}-3x-8}{x^{2}-2x+1}dx
slope of xy-6y^2=4,(14,2)
slope\:xy-6y^{2}=4,(14,2)
integral of x^{n-1}sqrt(a+bx^n)
\int\:x^{n-1}\sqrt{a+bx^{n}}dx
derivative of x(x+4^2)
\frac{d}{dx}(x(x+4)^{2})
(\partial)/(\partial x)(10x^2y+5xy^3)
\frac{\partial\:}{\partial\:x}(10x^{2}y+5xy^{3})
derivative of (ln(x)^8)
\frac{d}{dx}((\ln(x))^{8})
y^{''}+4y^'+4y=((e^{2x}))/((x))
y^{\prime\:\prime\:}+4y^{\prime\:}+4y=\frac{(e^{2x})}{(x)}
derivative of A/(y^8)+Be^y
derivative\:\frac{A}{y^{8}}+Be^{y}
integral of (x-5)/x
\int\:\frac{x-5}{x}dx
integral from 1 to 3 of 2x+1
\int\:_{1}^{3}2x+1dx
laplacetransform 10sin(80pit)
laplacetransform\:10\sin(80πt)
(\partial)/(\partial x)(4/3 piy^2x)
\frac{\partial\:}{\partial\:x}(\frac{4}{3}πy^{2}x)
limit as x approaches 2 of sqrt(x-1)
\lim\:_{x\to\:2}(\sqrt{x-1})
(\partial)/(\partial x)(4x^3-4x)
\frac{\partial\:}{\partial\:x}(4x^{3}-4x)
derivative of pix
derivative\:πx
integral of 1/(sin(ax+b))
\int\:\frac{1}{\sin(ax+b)}dx
(dy)/(dx)=sqrt(6x+y)-6
\frac{dy}{dx}=\sqrt{6x+y}-6
integral of (7x^2+4x+7)/(x^3-1)
\int\:\frac{7x^{2}+4x+7}{x^{3}-1}dx
integral from-3 to 3 of ((18)/(9+x^2)-1)
\int\:_{-3}^{3}(\frac{18}{9+x^{2}}-1)dx
limit as x approaches-infinity of |x|
\lim\:_{x\to\:-\infty\:}(\left|x\right|)
2(dy)/(dx)+4y=-8y^3
2\frac{dy}{dx}+4y=-8y^{3}
(\partial)/(\partial x)(3(y+4)(x-5)^3)
\frac{\partial\:}{\partial\:x}(3(y+4)(x-5)^{3})
derivative of x^2sqrt(2x-5)
\frac{d}{dx}(x^{2}\sqrt{2x-5})
integral of 1/(sqrt(2pi))e^{(-x^2)/2}
\int\:\frac{1}{\sqrt{2π}}e^{\frac{-x^{2}}{2}}dx
limit as x approaches 0 of e^{x^3}
\lim\:_{x\to\:0}(e^{x^{3}})
integral of sin(4)(x)
\int\:\sin(4)(x)dx
taylor e^{1-x}
taylor\:e^{1-x}
integral of (1+t+t^2)/(sqrt(t))
\int\:\frac{1+t+t^{2}}{\sqrt{t}}dt
limit as h approaches 0 of h/h
\lim\:_{h\to\:0}(\frac{h}{h})
derivative of (x^4)/6-10x
derivative\:\frac{x^{4}}{6}-10x
derivative of (c^2-x^2/(c^2+x^2))
\frac{d}{dx}(\frac{c^{2}-x^{2}}{c^{2}+x^{2}})
derivative of y=xsin(5/x)
derivative\:y=x\sin(\frac{5}{x})
f(x)=(cos(x))/(2+sin(x))
f(x)=\frac{\cos(x)}{2+\sin(x)}
integral of cos^3(8-x)sin(8-x)
\int\:\cos^{3}(8-x)\sin(8-x)dx
implicit (dy)/(dx),xy=5
implicit\:\frac{dy}{dx},xy=5
sum from n=0 to infinity of (5/6)^n
\sum\:_{n=0}^{\infty\:}(\frac{5}{6})^{n}
derivative of x^3+3x^2+1
\frac{d}{dx}(x^{3}+3x^{2}+1)
limit as x approaches 0 of (x-4)/(x+2)
\lim\:_{x\to\:0}(\frac{x-4}{x+2})
limit as x approaches 1 of ((x+2))/(x-1)
\lim\:_{x\to\:1}(\frac{(x+2)}{x-1})
tangent of f(x)=2x^2+x+1,\at x=2
tangent\:f(x)=2x^{2}+x+1,\at\:x=2
(\partial)/(\partial x)(2arctan(y/x))
\frac{\partial\:}{\partial\:x}(2\arctan(\frac{y}{x}))
tangent of y=7sec(x),\at x= pi/3
tangent\:y=7\sec(x),\at\:x=\frac{π}{3}
d/(dt)(arctan(t/2))
\frac{d}{dt}(\arctan(\frac{t}{2}))
derivative of sqrt(x^2+5)
derivative\:\sqrt{x^{2}+5}
derivative of y=(sec(x))/(1+sec(x))
derivative\:y=\frac{\sec(x)}{1+\sec(x)}
integral of 19sin^{-3/2}(x)cos^3(x)
\int\:19\sin^{-\frac{3}{2}}(x)\cos^{3}(x)dx
derivative of f(x)=(4-x^2)/(8+x^2)
derivative\:f(x)=\frac{4-x^{2}}{8+x^{2}}
integral of 2x(6x^2-12)^2
\int\:2x(6x^{2}-12)^{2}dx
(\partial)/(\partial x)(e^{xy}+5x-7y+3)
\frac{\partial\:}{\partial\:x}(e^{xy}+5x-7y+3)
limit as x approaches 0-of (-3x^3+4x)/x
\lim\:_{x\to\:0-}(\frac{-3x^{3}+4x}{x})
y^{''}+2y^'-8y=6e^{-2x}-e^{-x}
y^{\prime\:\prime\:}+2y^{\prime\:}-8y=6e^{-2x}-e^{-x}
derivative of (1+sin(x)/(1-sin(x)))
\frac{d}{dx}(\frac{1+\sin(x)}{1-\sin(x)})
laplacetransform sin(x-5)
laplacetransform\:\sin(x-5)
sum from n=1 to infinity of 3/(nln(9n))
\sum\:_{n=1}^{\infty\:}\frac{3}{n\ln(9n)}
derivative of f(x)=(x+(x+sin^2(x))^3)^4
derivative\:f(x)=(x+(x+\sin^{2}(x))^{3})^{4}
integral of x^2cos(21x)
\int\:x^{2}\cos(21x)dx
integral from 0 to 5 of |3-x|
\int\:_{0}^{5}\left|3-x\right|dx
(\partial)/(\partial x)(y*r^2)
\frac{\partial\:}{\partial\:x}(y\cdot\:r^{2})
integral of (5sqrt(ln(x)))/x
\int\:\frac{5\sqrt{\ln(x)}}{x}dx
y^'=(y-1)(y-1)
y^{\prime\:}=(y-1)(y-1)
integral from 1 to 5 of 2
\int\:_{1}^{5}2dy
xe^{y-x^2}dx-dy=0
xe^{y-x^{2}}dx-dy=0
tangent of f(x)=x^2-6,(5,19)
tangent\:f(x)=x^{2}-6,(5,19)
derivative of x^3e^{2x}
\frac{d}{dx}(x^{3}e^{2x})
(\partial)/(\partial x)(4y+9x^2)
\frac{\partial\:}{\partial\:x}(4y+9x^{2})
(dy)/(dx)=sqrt(17x+y)-17
\frac{dy}{dx}=\sqrt{17x+y}-17
derivative of x^{(1/2})
\frac{d}{dx}(x^{(\frac{1}{2})})
derivative of a/(x^2)
\frac{d}{dx}(\frac{a}{x^{2}})
maclaurin 1/((1-x^2))
maclaurin\:\frac{1}{(1-x^{2})}
integral of 1/(sqrt(u^2+4))
\int\:\frac{1}{\sqrt{u^{2}+4}}du
derivative of f(x)=(x^2+3)^3*4x^2
derivative\:f(x)=(x^{2}+3)^{3}\cdot\:4x^{2}
limit as x approaches 0 of ((ln(x))^2)/x
\lim\:_{x\to\:0}(\frac{(\ln(x))^{2}}{x})
y^'=(x+y)^2
y^{\prime\:}=(x+y)^{2}
derivative of (1+csc(x^3))/(1-cot(x^3))
derivative\:\frac{1+\csc(x^{3})}{1-\cot(x^{3})}
derivative of 24
\frac{d}{dx}(24)
(\partial)/(\partial v)(3u)
\frac{\partial\:}{\partial\:v}(3u)
integral from 0 to pi/4 of 9sec(x)
\int\:_{0}^{\frac{π}{4}}9\sec(x)dx
(dy)/(dx)=(x+y+1)^2-(x+y-1)^2
\frac{dy}{dx}=(x+y+1)^{2}-(x+y-1)^{2}
integral of (x-3)/((x^2+2x+4)^2)
\int\:\frac{x-3}{(x^{2}+2x+4)^{2}}dx
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