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Popular Calculus Problems

tangent of y=7+8x+2xe^x,(0,7)	tangent\:y=7+8x+2xe^{x},(0,7)
slope of (3.5)(-1.5)	slope\:(3.5)(-1.5)
laplacetransform t^n	laplacetransform\:t^{n}
(x+2y)dy-ydx=0	(x+2y)dy-ydx=0
limit as x approaches 2 of x^3+2x-5	\lim\:_{x\to\:2}(x^{3}+2x-5)
(d^2)/(dx^2)(e^x-x^6)	\frac{d^{2}}{dx^{2}}(e^{x}-x^{6})
derivative of (4x)/(7-cot(x))	derivative\:\frac{4x}{7-\cot(x)}
derivative of f(x)=9e^xcos(x)	derivative\:f(x)=9e^{x}\cos(x)
integral of sin(x)(cos(2x))	\int\:\sin(x)(\cos(2x))dx
sum from n=1 to infinity of 1/(1+4^n)	\sum\:_{n=1}^{\infty\:}\frac{1}{1+4^{n}}
sum from n=0 to infinity of a^n	\sum\:_{n=0}^{\infty\:}a^{n}
derivative of (5x^3-2x^2(6x^3))	\frac{d}{dx}((5x^{3}-2x^{2})(6x^{3}))
derivative of 1-(x^2/(16))	\frac{d}{dx}(1-\frac{x^{2}}{16})
y^2dx+x(x-y)dy=0	y^{2}dx+x(x-y)dy=0
integral from-1 to 1 of 2x	\int\:_{-1}^{1}2xdx
laplacetransform 2t^2-3t+3	laplacetransform\:2t^{2}-3t+3
limit as x approaches infinity of 5x^4	\lim\:_{x\to\:\infty\:}(5x^{4})
inverse oflaplace (1/(s+1)+3/2)/(s+2)	inverselaplace\:\frac{\frac{1}{s+1}+\frac{3}{2}}{s+2}
y^{''}+4y^'+5y=35e-4x,y(0)=-6,y^'(0)=1	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=35e-4x,y(0)=-6,y^{\prime\:}(0)=1
(x^2+3)*(dy)/(dx)=xy	(x^{2}+3)\cdot\:\frac{dy}{dx}=xy
sum from n=1 to infinity of 5/(n^5)	\sum\:_{n=1}^{\infty\:}\frac{5}{n^{5}}
derivative of 1/(x^4+1/(x^8))	\frac{d}{dx}(\frac{1}{x^{4}}+\frac{1}{x^{8}})
derivative of (x^3/3-3/(x^3))	\frac{d}{dx}(\frac{x^{3}}{3}-\frac{3}{x^{3}})
integral of x/(x^2-x-1)	\int\:\frac{x}{x^{2}-x-1}dx
(\partial)/(\partial x)(2x+3y-7)	\frac{\partial\:}{\partial\:x}(2x+3y-7)
derivative of f(x)=(x^2-36)/(x-6)	derivative\:f(x)=\frac{x^{2}-36}{x-6}
(\partial)/(\partial x)(4x^2+y^2)	\frac{\partial\:}{\partial\:x}(4x^{2}+y^{2})
y^{''}-7y^'=49t	y^{\prime\:\prime\:}-7y^{\prime\:}=49t
y^{''}=9y	y^{\prime\:\prime\:}=9y
(\partial)/(\partial y)(2yx)	\frac{\partial\:}{\partial\:y}(2yx)
derivative of (-1/(2(x+1)))	\frac{d}{dx}(\frac{-1}{2(x+1)})
integral from-2 to 3 of (x-5)	\int\:_{-2}^{3}(x-5)dx
integral of cos^2(3t)	\int\:\cos^{2}(3t)dt
(\partial)/(\partial x)((x+y)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{x+y}{x^{2}+y^{2}})
integral of (x^2+x-2)	\int\:(x^{2}+x-2)dx
derivative of arctan(1/2 x)	\frac{d}{dx}(\arctan(\frac{1}{2}x))
f(x)=sqrt(7-2x^2)	f(x)=\sqrt{7-2x^{2}}
derivative of x^4-\sqrt[3]{x}	\frac{d}{dx}(x^{4}-\sqrt[3]{x})
integral of (x+3)/(x^2+1)	\int\:\frac{x+3}{x^{2}+1}dx
(dy)/(dx)-2/x y=x^2-1	\frac{dy}{dx}-\frac{2}{x}y=x^{2}-1
tangent of y=8x-x^2,(1,7)	tangent\:y=8x-x^{2},(1,7)
maclaurin x^2cos(x^5)	maclaurin\:x^{2}\cos(x^{5})
integral of x/(x^2-9)	\int\:\frac{x}{x^{2}-9}dx
integral of (sin(x))/(cos^8(x))	\int\:\frac{\sin(x)}{\cos^{8}(x)}dx
integral from 0 to (3pi)/2 of 4\|sin(x)\|	\int\:_{0}^{\frac{3π}{2}}4\left\|\sin(x)\right\|dx
derivative of f(x)=x^2e^{-3x}	derivative\:f(x)=x^{2}e^{-3x}
derivative of x+sqrt(7x-3)	\frac{d}{dx}(x+\sqrt{7x-3})
3y^'+y=0,y^'(0)=0	3y^{\prime\:}+y=0,y^{\prime\:}(0)=0
taylor ((e^{2x}-1))/x	taylor\:\frac{(e^{2x}-1)}{x}
integral of-x^3	\int\:-x^{3}dx
d/(dy)((2x)/y)	\frac{d}{dy}(\frac{2x}{y})
inverse oflaplace (s-3)/((s-4)(s+6))	inverselaplace\:\frac{s-3}{(s-4)(s+6)}
integral of (x+1)/(x^3+7x^2+6x)	\int\:\frac{x+1}{x^{3}+7x^{2}+6x}dx
derivative of 4/(5x^6)	\frac{d}{dx}(\frac{4}{5x^{6}})
tangent of f(x)=2-6x^2,(-5,-148)	tangent\:f(x)=2-6x^{2},(-5,-148)
derivative of (3x^4-6x^3)	\frac{d}{dx}((3x^{4}-6x)^{3})
derivative of y=4e^xcos(x)	derivative\:y=4e^{x}\cos(x)
derivative of y=(ln(x))/x	derivative\:y=\frac{\ln(x)}{x}
(\partial)/(\partial x)(Asqrt(x/z))	\frac{\partial\:}{\partial\:x}(A\sqrt{\frac{x}{z}})
derivative of (3x-4/((5x+2)^3))	\frac{d}{dx}(\frac{3x-4}{(5x+2)^{3}})
integral from 0 to 3 of 1/(sqrt(36-x^2))	\int\:_{0}^{3}\frac{1}{\sqrt{36-x^{2}}}dx
derivative of f(x)=(6x+2)^3	derivative\:f(x)=(6x+2)^{3}
integral of-x/(x-1)	\int\:-\frac{x}{x-1}dx
area y=13+2x-x^2,y=3x+1	area\:y=13+2x-x^{2},y=3x+1
integral of (x^4)/(1+x^2)	\int\:\frac{x^{4}}{1+x^{2}}dx
derivative of (x^4/4+8/9 x^3-x^2+3x-8)	\frac{d}{dx}(\frac{x^{4}}{4}+\frac{8}{9}x^{3}-x^{2}+3x-8)
limit as x approaches-8 of (\|x-8\|)/(x-8)	\lim\:_{x\to\:-8}(\frac{\left\|x-8\right\|}{x-8})
limit as x approaches 0 of (x^3)/3	\lim\:_{x\to\:0}(\frac{x^{3}}{3})
derivative of-5x^4	\frac{d}{dx}(-5x^{4})
limit as x approaches 3+of (bx-3b)/(x-3)	\lim\:_{x\to\:3+}(\frac{bx-3b}{x-3})
(\partial)/(\partial x)(x/(x^2-x+1))	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{2}-x+1})
limit as h approaches 0 of tan(h)	\lim\:_{h\to\:0}(\tan(h))
d/(dt)(te^{2t})	\frac{d}{dt}(te^{2t})
integral of (x+1)e^{5x^2+10x}	\int\:(x+1)e^{5x^{2}+10x}dx
derivative of (1+9x^2)(x-x^2)	derivative\:(1+9x^{2})(x-x^{2})
derivative of 7x(sin(x+cos(x)))	\frac{d}{dx}(7x(\sin(x)+\cos(x)))
(dx)/(dt)=2e^t-2	\frac{dx}{dt}=2e^{t}-2
slope of (-1.2)(4)	slope\:(-1.2)(4)
integral of x/((x+1)^3)	\int\:\frac{x}{(x+1)^{3}}dx
derivative of \sqrt[5]{x^4}	derivative\:\sqrt[5]{x^{4}}
derivative of 10z^2e^z	derivative\:10z^{2}e^{z}
derivative of-3/(x^2)	derivative\:-\frac{3}{x^{2}}
derivative of 3/(e^x)	\frac{d}{dx}(\frac{3}{e^{x}})
integral from 0 to 1 of 3(1+x)^7	\int\:_{0}^{1}3(1+x)^{7}dx
sum from n=1 to infinity of 2(0.8)^{n-1}	\sum\:_{n=1}^{\infty\:}2(0.8)^{n-1}
derivative of ln(x^3)	derivative\:\ln(x^{3})
derivative of ax^3+bx^2-c/3 x+d	\frac{d}{dx}(ax^{3}+bx^{2}-\frac{c}{3}x+d)
derivative of y=x^2(x-1)	derivative\:y=x^{2}(x-1)
(\partial)/(\partial x)(x^7y^9-x^6y^8)	\frac{\partial\:}{\partial\:x}(x^{7}y^{9}-x^{6}y^{8})
integral of 1/((x^2+x+1))	\int\:\frac{1}{(x^{2}+x+1)}dx
taylor (-5x+24)^{3/2}	taylor\:(-5x+24)^{\frac{3}{2}}
limit as x approaches 1 of 5/(x+1)	\lim\:_{x\to\:1}(\frac{5}{x+1})
area f(x)=4-(x-1)^2,(1,3)	area\:f(x)=4-(x-1)^{2},(1,3)
sum from n=0 to infinity of (-x/4)^n	\sum\:_{n=0}^{\infty\:}(-\frac{x}{4})^{n}
tangent of f(x)=ln(6-9x^2+8x^4),\at x=1	tangent\:f(x)=\ln(6-9x^{2}+8x^{4}),\at\:x=1
integral of (r^3)/(sqrt(4-r^2))	\int\:\frac{r^{3}}{\sqrt{4-r^{2}}}dr
tangent of y= 9/(x-5)-1	tangent\:y=\frac{9}{x-5}-1
integral of x/(x^4+4)	\int\:\frac{x}{x^{4}+4}dx
integral of 2x+ye^{xy}	\int\:2x+ye^{xy}dx
derivative of tan(x/5)	\frac{d}{dx}(\tan(\frac{x}{5}))

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