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Popular Calculus Problems

(\partial)/(\partial x)(3x^2+2xy-y^2)	\frac{\partial\:}{\partial\:x}(3x^{2}+2xy-y^{2})
xy^'+2y=3e^x	xy^{\prime\:}+2y=3e^{x}
derivative of-3/5000 r^3+9/50 r^2	derivative\:-\frac{3}{5000}r^{3}+\frac{9}{50}r^{2}
derivative of ((x^2-x-2))/((x^2-6x+9))	derivative\:\frac{(x^{2}-x-2)}{(x^{2}-6x+9)}
limit as x approaches 9+of x^2+5x+7	\lim\:_{x\to\:9+}(x^{2}+5x+7)
tangent of f(x)=x^3,(-1,-1)	tangent\:f(x)=x^{3},(-1,-1)
(\partial)/(\partial x)(x^4+y^4-4xy+2)	\frac{\partial\:}{\partial\:x}(x^{4}+y^{4}-4xy+2)
integral from 0 to 2 of-7x^3sqrt(x^2+4)	\int\:_{0}^{2}-7x^{3}\sqrt{x^{2}+4}dx
derivative of (1+4x^{3/2})	\frac{d}{dx}((1+4x)^{\frac{3}{2}})
integral from 0 to infinity of 2e^{-2x}	\int\:_{0}^{\infty\:}2e^{-2x}dx
integral from-8 to 8 of 1/(\sqrt[3]{x)}	\int\:_{-8}^{8}\frac{1}{\sqrt[3]{x}}dx
implicit (dy)/(dx),y=7x^8	implicit\:\frac{dy}{dx},y=7x^{8}
integral of 3sqrt(x)-4x	\int\:3\sqrt{x}-4xdx
limit as x approaches 3 of log_{5}(x)	\lim\:_{x\to\:3}(\log_{5}(x))
derivative of x+sqrt(y)	\frac{d}{dx}(x+\sqrt{y})
laplacetransform sin(t)	laplacetransform\:\sin(t)
limit as x approaches 0+of e^x	\lim\:_{x\to\:0+}(e^{x})
(d^2)/(dx^2)((4x^2+2x)sin(x))	\frac{d^{2}}{dx^{2}}((4x^{2}+2x)\sin(x))
slope of (-2,2),(2,-1)	slope\:(-2,2),(2,-1)
derivative of 3x^4-16x^3+18x^2	\frac{d}{dx}(3x^{4}-16x^{3}+18x^{2})
integral of (2x+1)/(x^2+x-6)	\int\:\frac{2x+1}{x^{2}+x-6}dx
derivative of ln((x+1/(x-1)))	\frac{d}{dx}(\ln(\frac{x+1}{x-1}))
derivative of (x-2^{4x})	\frac{d}{dx}((x-2)^{4x})
integral of (tan(2x))^2	\int\:(\tan(2x))^{2}dx
integral from 0 to 1/300 of 94sin(225)	\int\:_{0}^{\frac{1}{300}}94\sin(225)dt
integral of 2/(t^3)	\int\:\frac{2}{t^{3}}dt
limit as x approaches 0 of (6-6cos(x))/3	\lim\:_{x\to\:0}(\frac{6-6\cos(x)}{3})
integral of (e^{-x}(-4+4xln(x)))/(2x)	\int\:\frac{e^{-x}(-4+4x\ln(x))}{2x}dx
derivative of log_{10}(x)	derivative\:\log_{10}(x)
derivative of-(3x/(2y))	\frac{d}{dx}(-\frac{3x}{2y})
integral of e^{-x}cos(6x)	\int\:e^{-x}\cos(6x)dx
(dy)/(dx)= x/(y(x^2+1))	\frac{dy}{dx}=\frac{x}{y(x^{2}+1)}
slope of (2010,73.1),(2000,71.3)	slope\:(2010,73.1),(2000,71.3)
integral of cos^2(y)	\int\:\cos^{2}(y)dy
(\partial)/(\partial x)(x^2+xy-10)	\frac{\partial\:}{\partial\:x}(x^{2}+xy-10)
derivative of 2x^3cos(xsin(x))	\frac{d}{dx}(2x^{3}\cos(x)\sin(x))
sum from n=0 to infinity of ((-1)^n)/2	\sum\:_{n=0}^{\infty\:}\frac{(-1)^{n}}{2}
limit as t approaches 0 of (e^{7t}-1)/(sin(t))	\lim\:_{t\to\:0}(\frac{e^{7t}-1}{\sin(t)})
(\partial)/(\partial x)(3x+7)	\frac{\partial\:}{\partial\:x}(3x+7)
derivative of x^{3pi}	derivative\:x^{3π}
derivative of e^x+x^e	derivative\:e^{x}+x^{e}
derivative of (2-x(1-2x))	\frac{d}{dx}((2-x)(1-2x))
derivative of 4cot(1/4 x)	\frac{d}{dx}(4\cot(\frac{1}{4}x))
integral of (3x+1)cos(x)	\int\:(3x+1)\cos(x)dx
inverse oflaplace (18)/(s^2+5s+6)+6/s	inverselaplace\:\frac{18}{s^{2}+5s+6}+\frac{6}{s}
derivative of (x/(x^2+1)^2)	\frac{d}{dx}((\frac{x}{x^{2}+1})^{2})
limit as x approaches e of 1/2 ln(x)	\lim\:_{x\to\:e}(\frac{1}{2}\ln(x))
derivative of sin((pix^9))	\frac{d}{dx}(\sin((πx)^{9}))
tangent of f(x)=sqrt(8x-10),(4,sqrt(22))	tangent\:f(x)=\sqrt{8x-10},(4,\sqrt{22})
x^{''}+4/5 x^'+4x=5,x(0)=0,x^'(0)=0	x^{\prime\:\prime\:}+\frac{4}{5}x^{\prime\:}+4x=5,x(0)=0,x^{\prime\:}(0)=0
maclaurin sin(5x)	maclaurin\:\sin(5x)
limit as x approaches 2 of 3x^2-x-2	\lim\:_{x\to\:2}(3x^{2}-x-2)
derivative of sqrt(7x+8)	derivative\:\sqrt{7x+8}
integral of 3/((3x+4)ln(3x+4))	\int\:\frac{3}{(3x+4)\ln(3x+4)}dx
limit as x approaches 0 of sin(3x)cot(x)	\lim\:_{x\to\:0}(\sin(3x)\cot(x))
limit as x approaches-7+of (-x^2)/(x+7)	\lim\:_{x\to\:-7+}(\frac{-x^{2}}{x+7})
limit as x approaches 1 of (-2x^2)/(x-1)	\lim\:_{x\to\:1}(\frac{-2x^{2}}{x-1})
integral of log_{e}(sqrt(x^2+1)-x)	\int\:\log_{e}(\sqrt{x^{2}+1}-x)dx
derivative of sqrt(3-4x)	derivative\:\sqrt{3-4x}
integral of 2x^{13}e^{x^7}	\int\:2x^{13}e^{x^{7}}dx
limit as x approaches 0 of (2^x-1)/2	\lim\:_{x\to\:0}(\frac{2^{x}-1}{2})
derivative of e^{(x+sqrt(x^2+1)})	\frac{d}{dx}(e^{(x+\sqrt{x^{2}+1})})
derivative of 8xln(x)	\frac{d}{dx}(8x\ln(x))
integral of x/(1+3x^2)	\int\:\frac{x}{1+3x^{2}}dx
derivative of \sqrt[3]{-3x^2+5x+1}	\frac{d}{dx}(\sqrt[3]{-3x^{2}+5x+1})
integral of (3e^x+8x^3+4x)	\int\:(3e^{x}+8x^{3}+4x)dx
derivative of 3/(\sqrt[4]{x})	\frac{d}{dx}(\frac{3}{\sqrt[4]{x}})
derivative of ln(x+sqrt(x^2-5))	\frac{d}{dx}(\ln(x+\sqrt{x^{2}-5}))
limit as x approaches 0-of h(x)	\lim\:_{x\to\:0-}(h(x))
derivative of f(x)=ln((x^2)/(x^2+1))	derivative\:f(x)=\ln(\frac{x^{2}}{x^{2}+1})
integral from 1 to 6 of 4/(x^2+4x+4)	\int\:_{1}^{6}\frac{4}{x^{2}+4x+4}dx
integral of (arcsin(x))/(sqrt(1-x^2))	\int\:\frac{\arcsin(x)}{\sqrt{1-x^{2}}}dx
integral of (2x)/(sqrt(x^4+4))	\int\:\frac{2x}{\sqrt{x^{4}+4}}dx
(dy}{dx}=\frac{6x)/y	\frac{dy}{dx}=\frac{6x}{y}
derivative of sqrt(x^2+1)	derivative\:\sqrt{x^{2}+1}
integral of (3x)/(x^2+6x+9)	\int\:\frac{3x}{x^{2}+6x+9}dx
limit as x approaches+3-of 1/(9-x^2)	\lim\:_{x\to\:+3-}(\frac{1}{9-x^{2}})
integral of sqrt(8-x)	\int\:\sqrt{8-x}dx
integral of 2/3 (x+3)^{3/2}	\int\:\frac{2}{3}(x+3)^{\frac{3}{2}}dx
integral of (3-x)/(x^2+1)+xln(x^2)	\int\:\frac{3-x}{x^{2}+1}+x\ln(x^{2})dx
integral of (2x+3)/(x^2)	\int\:\frac{2x+3}{x^{2}}dx
slope ofintercept (0.9)(4)	slopeintercept\:(0.9)(4)
integral from 1 to 2 of (1/x)	\int\:_{1}^{2}(\frac{1}{x})dx
(\partial)/(\partial x)(cos(x^2*y))	\frac{\partial\:}{\partial\:x}(\cos(x^{2}\cdot\:y))
limit as h approaches 0 of (4^h-1)/h	\lim\:_{h\to\:0}(\frac{4^{h}-1}{h})
integral of (e^x)/x	\int\:\frac{e^{x}}{x}dx
derivative of (8x+1)/(sqrt(x))	derivative\:\frac{8x+1}{\sqrt{x}}
tangent of f(x)=x^2-2x+1,\at x=-1	tangent\:f(x)=x^{2}-2x+1,\at\:x=-1
area f(x)=3+2x-x^2,g(x)=x^2-4x+3	area\:f(x)=3+2x-x^{2},g(x)=x^{2}-4x+3
area y=sqrt(x),y= 1/4 x,x=25	area\:y=\sqrt{x},y=\frac{1}{4}x,x=25
tangent of f(x)=-x^3	tangent\:f(x)=-x^{3}
(\partial)/(\partial y)(1/2 sin(2x-y))	\frac{\partial\:}{\partial\:y}(\frac{1}{2}\sin(2x-y))
integral from 5 to infinity of xe^{-2x}	\int\:_{5}^{\infty\:}xe^{-2x}dx
integral of 3e^x+8x^3+4x	\int\:3e^{x}+8x^{3}+4xdx
derivative of cos(1/4 x^3)	\frac{d}{dx}(\cos(\frac{1}{4}x^{3}))
integral of cos^2(t)sin(t)	\int\:\cos^{2}(t)\sin(t)dt
sum from n=3 to infinity of (4/5)^n	\sum\:_{n=3}^{\infty\:}(\frac{4}{5})^{n}
(dx)/(dt)=kx	\frac{dx}{dt}=kx
derivative of (x^3+4x^7)	\frac{d}{dx}((x^{3}+4x)^{7})
limit as x approaches 0 of 3x^x	\lim\:_{x\to\:0}(3x^{x})

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