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Popular Calculus Problems

derivative of f(x)=5x+6	derivative\:f(x)=5x+6
derivative of y= 1/(y^2)	derivative\:y=\frac{1}{y^{2}}
(\partial)/(\partial x)(rsin(θ))	\frac{\partial\:}{\partial\:x}(r\sin(θ))
integral from-6 to 6 of ((36-x^2))/2	\int\:_{-6}^{6}\frac{(36-x^{2})}{2}dx
derivative of 1/((x-1^3))	\frac{d}{dx}(\frac{1}{(x-1)^{3}})
area f(x)=x^2-4,y=0,x=-4,x=3	area\:f(x)=x^{2}-4,y=0,x=-4,x=3
tangent of y=x^2-6,(4,10)	tangent\:y=x^{2}-6,(4,10)
tangent of 5x^2+xy+5y^2=11,(1,1)	tangent\:5x^{2}+xy+5y^{2}=11,(1,1)
integral of sqrt(-4+9s)	\int\:\sqrt{-4+9s}ds
integral of 3x^2e^{4x}	\int\:3x^{2}e^{4x}dx
integral of ((x+1))/(xsqrt(x-2))	\int\:\frac{(x+1)}{x\sqrt{x-2}}dx
(\partial)/(\partial x)(cos(x)-xcos(y)-y)	\frac{\partial\:}{\partial\:x}(\cos(x)-x\cos(y)-y)
limit as x approaches-2-of sqrt(2-x)	\lim\:_{x\to\:-2-}(\sqrt{2-x})
limit as x approaches 0 of 7/x-(3/x)^2	\lim\:_{x\to\:0}(\frac{7}{x}-(\frac{3}{x})^{2})
derivative of (x+ae^2x+b)	\frac{d}{dx}((x+a)e^{2}x+b)
integral of x^2sqrt(2+x^3)	\int\:x^{2}\sqrt{2+x^{3}}dx
derivative of f(x)=(sqrt(10))/(x^7)	derivative\:f(x)=\frac{\sqrt{10}}{x^{7}}
(\partial)/(\partial x)(4+2x-3y^2)	\frac{\partial\:}{\partial\:x}(4+2x-3y^{2})
integral of 3*sqrt(x)	\int\:3\cdot\:\sqrt{x}dx
(\partial)/(\partial p)(sqrt(pq))	\frac{\partial\:}{\partial\:p}(\sqrt{pq})
(\partial)/(\partial x)(3+xln(xy-5))	\frac{\partial\:}{\partial\:x}(3+x\ln(xy-5))
(\partial)/(\partial x)(4x^3+4y^2x+4x)	\frac{\partial\:}{\partial\:x}(4x^{3}+4y^{2}x+4x)
integral of t/(t^4+2)	\int\:\frac{t}{t^{4}+2}dt
inverse oflaplace (-4s+8)/(s^2+6s+8)	inverselaplace\:\frac{-4s+8}{s^{2}+6s+8}
(\partial)/(\partial t)(e^{-4t}cos(pix))	\frac{\partial\:}{\partial\:t}(e^{-4t}\cos(πx))
(d^2)/(dx^2)((x^2-6x)/(x+1))	\frac{d^{2}}{dx^{2}}(\frac{x^{2}-6x}{x+1})
limit as x approaches 1 of ((x^{5/2}-2x^{3/2}+x^{1/2}))/(x-1)	\lim\:_{x\to\:1}(\frac{(x^{\frac{5}{2}}-2x^{\frac{3}{2}}+x^{\frac{1}{2}})}{x-1})
derivative of f(x)=(a-5x)(a+5x)	derivative\:f(x)=(a-5x)(a+5x)
integral of 4sec^6(t)	\int\:4\sec^{6}(t)dt
2y^{''}+19y^'-10y=0	2y^{\prime\:\prime\:}+19y^{\prime\:}-10y=0
(\partial)/(\partial y)(e^{2x}cos(2y))	\frac{\partial\:}{\partial\:y}(e^{2x}\cos(2y))
y^'=e^{x-2y}	y^{\prime\:}=e^{x-2y}
area x=-2,x=3,y=2x^2+6,y=0	area\:x=-2,x=3,y=2x^{2}+6,y=0
limit as x approaches 0+of (x^2+1)/x	\lim\:_{x\to\:0+}(\frac{x^{2}+1}{x})
limit as x approaches 2 of 1/(x^2-9)	\lim\:_{x\to\:2}(\frac{1}{x^{2}-9})
y^{''}+15y=0	y^{\prime\:\prime\:}+15y=0
derivative of {f}(x(x)^{{g}(x)})	\frac{d}{dx}({f}(x)(x)^{{g}(x)})
derivative of ((x+1(2x-5))/(2x+3))	\frac{d}{dx}(\frac{(x+1)(2x-5)}{2x+3})
(\partial)/(\partial y)(sin(3x+2y))	\frac{\partial\:}{\partial\:y}(\sin(3x+2y))
derivative of ye^y	derivative\:ye^{y}
integral of xcos(n)pix	\int\:x\cos(n)πxdx
integral of (x^2,left(sin(x)))	\int\:(x^{2},left(\sin(x)))dx
integral of (6-x^2)^{3/2}	\int\:(6-x^{2})^{\frac{3}{2}}dx
sum from n=0 to infinity of 1/(2-e^n)	\sum\:_{n=0}^{\infty\:}\frac{1}{2-e^{n}}
derivative of (x^2)/(x^2)	derivative\:\frac{x^{2}}{x^{2}}
integral of sinh^{15}(x)	\int\:\sinh^{15}(x)dx
tangent of f(x)=x^2+4,\at x=3	tangent\:f(x)=x^{2}+4,\at\:x=3
integral of x(2x+3)^{99}	\int\:x(2x+3)^{99}dx
tangent of x^2-7x	tangent\:x^{2}-7x
integral from 0 to 8 of xsqrt(1+x)	\int\:_{0}^{8}x\sqrt{1+x}dx
integral of-6/pi x	\int\:-\frac{6}{π}xdx
limit as x approaches 0 of (3x)^{x^2}	\lim\:_{x\to\:0}((3x)^{x^{2}})
integral of cos(-6x)	\int\:\cos(-6x)dx
derivative of g(x)=x^2(1-3x)	derivative\:g(x)=x^{2}(1-3x)
integral of bx*sin((pix)/(2a))	\int\:bx\cdot\:\sin(\frac{πx}{2a})dx
(\partial)/(\partial y)(5x^2-2xy+3y^3)	\frac{\partial\:}{\partial\:y}(5x^{2}-2xy+3y^{3})
slope of (5.8)(3.9)	slope\:(5.8)(3.9)
y^{''}-y= 1/(e^x+e^{-x)}	y^{\prime\:\prime\:}-y=\frac{1}{e^{x}+e^{-x}}
(\partial)/(\partial x)(cos(xy))	\frac{\partial\:}{\partial\:x}(\cos(xy))
derivative of (tan(x)/(1+cos(x)))	\frac{d}{dx}(\frac{\tan(x)}{1+\cos(x)})
integral from 2 to 3 of (36)/(sqrt(3-x))	\int\:_{2}^{3}\frac{36}{\sqrt{3-x}}dx
sum from n=1 to infinity of 1/(3n)	\sum\:_{n=1}^{\infty\:}\frac{1}{3n}
limit as x approaches-5+of 8	\lim\:_{x\to\:-5+}(8)
tangent of 5x^3-4x^2+7x-8,\at x=1	tangent\:5x^{3}-4x^{2}+7x-8,\at\:x=1
integral from 0 to 1 of (4x+2)e^{2x}	\int\:_{0}^{1}(4x+2)e^{2x}dx
integral of 19tan^2(xse)c^3x	\int\:19\tan^{2}(xse)c^{3}xdx
derivative of f(x)=(3x)/(x^2-1)	derivative\:f(x)=\frac{3x}{x^{2}-1}
derivative of 7sin(x)	derivative\:7\sin(x)
derivative of y=ln(sqrt((x+1)/(x-1)))	derivative\:y=\ln(\sqrt{\frac{x+1}{x-1}})
(dy)/(dt)=2ty^2+3y^2	\frac{dy}{dt}=2ty^{2}+3y^{2}
limit as x approaches+0+of (7x)^x	\lim\:_{x\to\:+0+}((7x)^{x})
integral from-infinity to infinity of xe^{x^2}	\int\:_{-\infty\:}^{\infty\:}xe^{x^{2}}dx
(dy)/(dx)=-k(y-a)	\frac{dy}{dx}=-k(y-a)
3yln(x)-xy^'=0	3y\ln(x)-xy^{\prime\:}=0
derivative of 2x^{1/2}+6x^{1/3}-2x^{3/2}	\frac{d}{dx}(2x^{\frac{1}{2}}+6x^{\frac{1}{3}}-2x^{\frac{3}{2}})
derivative of (sin(5x))/x	derivative\:\frac{\sin(5x)}{x}
(y+x)y^'=x-y	(y+x)y^{\prime\:}=x-y
(dy)/(dt)-2ty=-12t^2e^{t^2}	\frac{dy}{dt}-2ty=-12t^{2}e^{t^{2}}
integral of (x^4-x^2+2)/(x^2(x-1))	\int\:\frac{x^{4}-x^{2}+2}{x^{2}(x-1)}dx
integral of (Inx)/(x^2)	\int\:\frac{Inx}{x^{2}}dx
derivative of \sqrt[3]{6x^2+1}	derivative\:\sqrt[3]{6x^{2}+1}
taylor 1/(x+1),0	taylor\:\frac{1}{x+1},0
integral from 0 to 5 of 2pi(7-x)(25-x^2)	\int\:_{0}^{5}2π(7-x)(25-x^{2})dx
integral of-e^{2x}cos(2x)	\int\:-e^{2x}\cos(2x)dx
derivative of y=3^x+1	derivative\:y=3^{x}+1
derivative of (x^4-3x^3-6x^2-3x+2/x)	\frac{d}{dx}(\frac{x^{4}-3x^{3}-6x^{2}-3x+2}{x})
tangent of f(x)= x/((2x-1)^6),\at x=1	tangent\:f(x)=\frac{x}{(2x-1)^{6}},\at\:x=1
(dy)/(dx)+3y+5=0	\frac{dy}{dx}+3y+5=0
laplacetransform cos(sqrt(2)x)	laplacetransform\:\cos(\sqrt{2}x)
derivative of 1/(7x+1)	\frac{d}{dx}(\frac{1}{7x+1})
derivative of (48)/(-4x)	derivative\:\frac{48}{-4x}
limit as x approaches 0+of x/(sqrt(x)-1)	\lim\:_{x\to\:0+}(\frac{x}{\sqrt{x}-1})
derivative of f(x)=(x-7)(5x+1)	derivative\:f(x)=(x-7)(5x+1)
derivative of e^{1/t}	derivative\:e^{\frac{1}{t}}
integral of x/(sqrt(x+6))	\int\:\frac{x}{\sqrt{x+6}}dx
(2xdy)/(dx)+y=6x	\frac{2xdy}{dx}+y=6x
integral of 1/(1+x^2+y^2)	\int\:\frac{1}{1+x^{2}+y^{2}}dy
limit as x approaches-3 of-2	\lim\:_{x\to\:-3}(-2)
limit as x approaches infinity of e^{1/x}sin(1/x)	\lim\:_{x\to\:\infty\:}(e^{\frac{1}{x}}\sin(\frac{1}{x}))
derivative of y=((x^2+2)/(x^2-2))^8	derivative\:y=(\frac{x^{2}+2}{x^{2}-2})^{8}

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