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Popular Calculus Problems

slope of (-1,3),(13,1)	slope\:(-1,3),(13,1)
integral of (tan(x))/(cos^2(x))	\int\:\frac{\tan(x)}{\cos^{2}(x)}dx
8t(dy)/(dt)+y=t^4	8t\frac{dy}{dt}+y=t^{4}
(\partial)/(\partial y)(x+sqrt(x^2+y^2))	\frac{\partial\:}{\partial\:y}(x+\sqrt{x^{2}+y^{2}})
derivative of (6x-1/(4x+3))	\frac{d}{dx}(\frac{6x-1}{4x+3})
(\partial)/(\partial v)(uv^2)	\frac{\partial\:}{\partial\:v}(uv^{2})
derivative of 1/((x+8^2))	\frac{d}{dx}(\frac{1}{(x+8)^{2}})
integral of 1/(x^2(x-2))	\int\:\frac{1}{x^{2}(x-2)}dx
integral from 0 to 3 of 3x^3	\int\:_{0}^{3}3x^{3}dx
derivative of 1/(2+t)	derivative\:\frac{1}{2+t}
integral of 8csc(x)	\int\:8\csc(x)dx
tangent of f(x)=sqrt(5x+39),\at x=5	tangent\:f(x)=\sqrt{5x+39},\at\:x=5
derivative of x/(5+x^2)	derivative\:\frac{x}{5+x^{2}}
inverse oflaplace (20)/(-5s+3)	inverselaplace\:\frac{20}{-5s+3}
derivative of 1/x+2sqrt(x)	\frac{d}{dx}(\frac{1}{x}+2\sqrt{x})
laplacetransform sin(t-pi/2)	laplacetransform\:\sin(t-\frac{π}{2})
derivative of f(x)=sqrt(3-4x)	derivative\:f(x)=\sqrt{3-4x}
sum from n=0 to infinity of 1/3*(1/3)^n	\sum\:_{n=0}^{\infty\:}\frac{1}{3}\cdot\:(\frac{1}{3})^{n}
integral of x^2sin(zx)	\int\:x^{2}\sin(zx)dx
y^'+4/x y=x^9	y^{\prime\:}+\frac{4}{x}y=x^{9}
limit as x approaches infinity of arctan(((1-x^2))/((1+x)))	\lim\:_{x\to\:\infty\:}(\arctan(\frac{(1-x^{2})}{(1+x)}))
(dy)/(dx)=0.067y(1-y/(2800))	\frac{dy}{dx}=0.067y(1-\frac{y}{2800})
tangent of f(x)=x^3,(1,1)	tangent\:f(x)=x^{3},(1,1)
(2x-y)+(2y-x)y^'=0	(2x-y)+(2y-x)y^{\prime\:}=0
integral of (5x^2+11x+4)/(x^3+3x^2+3x+1)	\int\:\frac{5x^{2}+11x+4}{x^{3}+3x^{2}+3x+1}dx
derivative of 1/((4x+5^2))	\frac{d}{dx}(\frac{1}{(4x+5)^{2}})
integral of (xln(x^2+4))/(x^2+4)	\int\:\frac{x\ln(x^{2}+4)}{x^{2}+4}dx
integral of x^2sqrt(x^3+37)	\int\:x^{2}\sqrt{x^{3}+37}dx
integral of (x+2)/(x-1)	\int\:\frac{x+2}{x-1}dx
tangent of f(x)=sqrt(7x+2),\at x=2	tangent\:f(x)=\sqrt{7x+2},\at\:x=2
slope of (0,1),(5,4)	slope\:(0,1),(5,4)
(21+x^2)y^'-2xy=0	(21+x^{2})y^{\prime\:}-2xy=0
(\partial)/(\partial y)(xy^3+x^2y^2)	\frac{\partial\:}{\partial\:y}(xy^{3}+x^{2}y^{2})
y^'=9.8-(3y)/(3.5)	y^{\prime\:}=9.8-\frac{3y}{3.5}
limit as x approaches infinity of (n^{1.5})/(ln(n))	\lim\:_{x\to\:\infty\:}(\frac{n^{1.5}}{\ln(n)})
derivative of x^4-18x^2+81	derivative\:x^{4}-18x^{2}+81
derivative of-3tan^3(sin(x))	\frac{d}{dx}(-3\tan^{3}(\sin(x)))
(6+x)((dy)/(dx))=9y	(6+x)(\frac{dy}{dx})=9y
d/(dt)(e^tsin(t))	\frac{d}{dt}(e^{t}\sin(t))
derivative of 400x^{10}+40x^5+1	derivative\:400x^{10}+40x^{5}+1
y^'=(4sec(y))/((x-6)^2)	y^{\prime\:}=\frac{4\sec(y)}{(x-6)^{2}}
expand ((x^2-a)^3)/(ax)	expand\:\frac{(x^{2}-a)^{3}}{ax}
derivative of (x+x^{-1})^3	derivative\:(x+x^{-1})^{3}
derivative of f(x)=-x+1/x+1	derivative\:f(x)=-x+\frac{1}{x}+1
derivative of 2/(1-x^3)	\frac{d}{dx}(\frac{2}{1-x^{3}})
derivative of e^{-5/x}	\frac{d}{dx}(e^{-\frac{5}{x}})
integral of x(3x+1)	\int\:x(3x+1)dx
sum from n=1 to infinity of cos^n(0.8)	\sum\:_{n=1}^{\infty\:}\cos^{n}(0.8)
sum from n=0 to infinity of n(5/6)^{n-1}	\sum\:_{n=0}^{\infty\:}n(\frac{5}{6})^{n-1}
derivative of x^2y+3x*y^3+x	\frac{d}{dx}(x^{2}y+3x\cdot\:y^{3}+x)
integral of cot(6x)	\int\:\cot(6x)dx
(\partial)/(\partial z)(x^3)	\frac{\partial\:}{\partial\:z}(x^{3})
derivative of x^2sin^2(5x)	derivative\:x^{2}\sin^{2}(5x)
derivative of y=5e^x	derivative\:y=5e^{x}
integral of (sqrt(x))/(sqrt(x-1))	\int\:\frac{\sqrt{x}}{\sqrt{x-1}}dx
derivative of (((3x^2))/(2x+4))^3	derivative\:(\frac{(3x^{2})}{2x+4})^{3}
limit as x approaches 0 of x*ln^2(x)	\lim\:_{x\to\:0}(x\cdot\:\ln^{2}(x))
limit as x approaches 0 of (3e^x-3)/x	\lim\:_{x\to\:0}(\frac{3e^{x}-3}{x})
limit as x approaches infinity of-5x^6-6x^4-x^3+7x	\lim\:_{x\to\:\infty\:}(-5x^{6}-6x^{4}-x^{3}+7x)
integral of ((ln(x^9)))/x	\int\:\frac{(\ln(x^{9}))}{x}dx
derivative of 2x^3-3x^2-12x+1	\frac{d}{dx}(2x^{3}-3x^{2}-12x+1)
derivative of 1/(5x^2+6x)	derivative\:\frac{1}{5x^{2}+6x}
(\partial)/(\partial x)(16sqrt(3y)+2x)	\frac{\partial\:}{\partial\:x}(16\sqrt{3y}+2x)
(\partial)/(\partial x)(xe)	\frac{\partial\:}{\partial\:x}(xe)
(\partial)/(\partial y)(yln(x)+1/9 y^3)	\frac{\partial\:}{\partial\:y}(y\ln(x)+\frac{1}{9}y^{3})
limit as x approaches 0 of (3cos(x))/x	\lim\:_{x\to\:0}(\frac{3\cos(x)}{x})
derivative of (1-sec(x)/(tan(x)))	\frac{d}{dx}(\frac{1-\sec(x)}{\tan(x)})
tangent of f(x)=5x-2sqrt(x),(1,3)	tangent\:f(x)=5x-2\sqrt{x},(1,3)
implicit (dy)/(dx),y=x^3+7	implicit\:\frac{dy}{dx},y=x^{3}+7
derivative of-x^3	\frac{d}{dx}(-x^{3})
integral of cot(5x)	\int\:\cot(5x)dx
inverse oflaplace-(12)/(s^2-5)	inverselaplace\:-\frac{12}{s^{2}-5}
integral of 17θsec^2(θ)	\int\:17θ\sec^{2}(θ)dθ
derivative of y=e^{cx}	derivative\:y=e^{cx}
integral from 0 to 4 of (5-x)sqrt(x)	\int\:_{0}^{4}(5-x)\sqrt{x}dx
roots xe^y	roots\:xe^{y}
integral of 1/(sqrt(x^2+4x-5))	\int\:\frac{1}{\sqrt{x^{2}+4x-5}}dx
t^2y^'+2ty=y^3	t^{2}y^{\prime\:}+2ty=y^{3}
y^'=(2sec(y))/((x-2)^2)	y^{\prime\:}=\frac{2\sec(y)}{(x-2)^{2}}
derivative of f(x)=(t^2+3)/(t^4-2t+4)	derivative\:f(x)=\frac{t^{2}+3}{t^{4}-2t+4}
limit as x approaches 0 of sqrt(x+2)	\lim\:_{x\to\:0}(\sqrt{x+2})
integral of z^{31}+z^8	\int\:z^{31}+z^{8}dz
integral of (10)/(x^{0.5)}	\int\:\frac{10}{x^{0.5}}dx
normal of y=x^2-4x,(7,21)	normal\:y=x^{2}-4x,(7,21)
derivative of 4-3x	derivative\:4-3x
integral of (x^2-18)^8(2x)	\int\:(x^{2}-18)^{8}(2x)dx
implicit (dy)/(dx),3(x^2+y^2)^2=100xy	implicit\:\frac{dy}{dx},3(x^{2}+y^{2})^{2}=100xy
derivative of (a^2x/((x+b)^2))	\frac{d}{dx}(\frac{a^{2}x}{(x+b)^{2}})
integral of (6x^3)	\int\:(6x^{3})dx
derivative of \sqrt[3]{(3x/(4pi)})	\frac{d}{dx}(\sqrt[3]{\frac{3x}{4π}})
f(x)=(cos(x))/(cos(x)+1)	f(x)=\frac{\cos(x)}{\cos(x)+1}
derivative of y=(6x)/(x^2+1)	derivative\:y=\frac{6x}{x^{2}+1}
integral of (1-sin(x))/(1-sin^2(x))	\int\:\frac{1-\sin(x)}{1-\sin^{2}(x)}dx
tangent of y=x^2+3,(-1,4)	tangent\:y=x^{2}+3,(-1,4)
integral from-4 to 4 of \|x\|	\int\:_{-4}^{4}\left\|x\right\|dx
limit as x approaches-3 of (4x-5)/(3x+9)	\lim\:_{x\to\:-3}(\frac{4x-5}{3x+9})
limit as x approaches 1 of [3x+1]	\lim\:_{x\to\:1}([3x+1])
derivative of 4x	derivative\:4x
integral of (1+6x)^4(6)	\int\:(1+6x)^{4}(6)dx
integral of e^{4*ln(x)}	\int\:e^{4\cdot\:\ln(x)}dx

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