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Popular Calculus Problems

tangent of f(x)=(1+2x)^2,9,\at x=1	tangent\:f(x)=(1+2x)^{2},9,\at\:x=1
integral of (ln^2(3x))/x	\int\:\frac{\ln^{2}(3x)}{x}dx
(\partial)/(\partial x)(sum)	\frac{\partial\:}{\partial\:x}(sum)
tangent of y=sqrt(-5x-10),(-4,sqrt(10))	tangent\:y=\sqrt{-5x-10},(-4,\sqrt{10})
integral of sin^3(11x)cos^9(11x)	\int\:\sin^{3}(11x)\cos^{9}(11x)dx
derivative of (x^2-1/2)	\frac{d}{dx}(\frac{x^{2}-1}{2})
derivative of y= x/3-3/x	derivative\:y=\frac{x}{3}-\frac{3}{x}
derivative of e^{x^4}*4x^3	derivative\:e^{x^{4}}\cdot\:4x^{3}
2y^{''}-5y^'-12y=0	2y^{\prime\:\prime\:}-5y^{\prime\:}-12y=0
limit as x approaches 1 of e^{2x^3-2x}	\lim\:_{x\to\:1}(e^{2x^{3}-2x})
y^{''}=e^{2t}	y^{\prime\:\prime\:}=e^{2t}
(\partial)/(\partial x)(7xy^6+x^4y^4)	\frac{\partial\:}{\partial\:x}(7xy^{6}+x^{4}y^{4})
(\partial)/(\partial x)(sqrt(6+2x))	\frac{\partial\:}{\partial\:x}(\sqrt{6+2x})
limit as x approaches 2 of x^3-ax	\lim\:_{x\to\:2}(x^{3}-ax)
integral from 0 to 49 of 1/(sqrt(49-x))	\int\:_{0}^{49}\frac{1}{\sqrt{49-x}}dx
derivative of xsin(5/x)	derivative\:x\sin(\frac{5}{x})
derivative of x/(1-ln(x-9))	\frac{d}{dx}(\frac{x}{1-\ln(x-9)})
xy^'-y= 5/4 xln(x)	xy^{\prime\:}-y=\frac{5}{4}x\ln(x)
expand (6-x)sqrt(x+15)	expand\:(6-x)\sqrt{x+15}
laplacetransform 5e^{-3t}	laplacetransform\:5e^{-3t}
derivative of A(e^{-x}-e^{-x}x)	\frac{d}{dx}(A(e^{-x}-e^{-x}x))
tangent of y=8xarccos(x-1),\at x=1	tangent\:y=8x\arccos(x-1),\at\:x=1
integral from t to 1 of (1/(x^2))	\int\:_{t}^{1}(\frac{1}{x^{2}})dx
derivative of (t^2+5)^2-7(t^2+5)	derivative\:(t^{2}+5)^{2}-7(t^{2}+5)
2x(dy)/(dx)-8y=x^{-8}	2x\frac{dy}{dx}-8y=x^{-8}
(dy)/(dx)=-x/y ,y(0)=1	\frac{dy}{dx}=-\frac{x}{y},y(0)=1
(\partial)/(\partial x)(e^{xy}+z)	\frac{\partial\:}{\partial\:x}(e^{xy}+z)
integral from-10 to 10 of x^2	\int\:_{-10}^{10}x^{2}dx
area 2/x , 1/2 x,1,2	area\:\frac{2}{x},\frac{1}{2}x,1,2
f(x)=(2x-8)^4(x^2+x+1)^5	f(x)=(2x-8)^{4}(x^{2}+x+1)^{5}
derivative of ln((2x-1/(x-1)))	\frac{d}{dx}(\ln(\frac{2x-1}{x-1}))
d/(du)(2u)	\frac{d}{du}(2u)
derivative of x(x^2+1)	derivative\:x(x^{2}+1)
derivative of f(x)=x^2-1,x=-1,x=1	derivative\:f(x)=x^{2}-1,x=-1,x=1
derivative of sec^2(7x)	derivative\:\sec^{2}(7x)
(y+1)y^'+x(y^2+2y)=x	(y+1)y^{\prime\:}+x(y^{2}+2y)=x
integral of (sqrt(x^2+16))/x	\int\:\frac{\sqrt{x^{2}+16}}{x}dx
derivative of 2x^3-8x	\frac{d}{dx}(2x^{3}-8x)
e^x+e^y(dy)/(dx)=0	e^{x}+e^{y}\frac{dy}{dx}=0
limit as x approaches 3-of \|-x^2+9\|	\lim\:_{x\to\:3-}(\left\|-x^{2}+9\right\|)
limit as x approaches 3 of 2x+1	\lim\:_{x\to\:3}(2x+1)
integral of e^{-cos(3x)}sin(3x)	\int\:e^{-\cos(3x)}\sin(3x)dx
x(dy)/(dx)-2y=3x^2+2x	x\frac{dy}{dx}-2y=3x^{2}+2x
sum from n=1 to infinity of n/(n^4+1)	\sum\:_{n=1}^{\infty\:}\frac{n}{n^{4}+1}
tangent of f(x)=x^2-4x,\at x=3	tangent\:f(x)=x^{2}-4x,\at\:x=3
integral of (2x+1)^3	\int\:(2x+1)^{3}dx
sum from n=1 to infinity of (n^2)/(5n)	\sum\:_{n=1}^{\infty\:}\frac{n^{2}}{5n}
d/(dt)(1/(1+t))	\frac{d}{dt}(\frac{1}{1+t})
tangent of f(x)=(x+2)^{1/2}	tangent\:f(x)=(x+2)^{\frac{1}{2}}
limit as n approaches infinity of ((\sqrt[5]{n}))/(\sqrt[5]{n)+7}	\lim\:_{n\to\:\infty\:}(\frac{(\sqrt[5]{n})}{\sqrt[5]{n}+7})
(\partial)/(\partial y)((9y)/(sqrt(x)))	\frac{\partial\:}{\partial\:y}(\frac{9y}{\sqrt{x}})
integral of sin(kx)	\int\:\sin(kx)dx
integral of (1-5x)	\int\:(1-5x)dx
area x^2+1,x+3,0,x=0	area\:x^{2}+1,x+3,0,x=0
limit as x approaches 7 of 6/(x-7)	\lim\:_{x\to\:7}(\frac{6}{x-7})
y^{'''}+5y^{''}+4y^'-10y=0	y^{\prime\:\prime\:\prime\:}+5y^{\prime\:\prime\:}+4y^{\prime\:}-10y=0
integral of 1/(tsqrt(9+4t^2))	\int\:\frac{1}{t\sqrt{9+4t^{2}}}dt
integral of (1-sqrt(x))/(sqrt(x))	\int\:\frac{1-\sqrt{x}}{\sqrt{x}}dx
derivative of (10log_{4}(t))/t	derivative\:\frac{10\log_{4}(t)}{t}
(\partial)/(\partial x)(x^2sin(xy))	\frac{\partial\:}{\partial\:x}(x^{2}\sin(xy))
sum from n=0 to infinity of 9^nx^n	\sum\:_{n=0}^{\infty\:}9^{n}x^{n}
9x^2y^'=y^'+9xe^{-y}	9x^{2}y^{\prime\:}=y^{\prime\:}+9xe^{-y}
integral of-2xsqrt(8-x^2)	\int\:-2x\sqrt{8-x^{2}}dx
limit as x approaches 0+of (x-\|x\|)/x	\lim\:_{x\to\:0+}(\frac{x-\left\|x\right\|}{x})
tangent of e^{x+1}	tangent\:e^{x+1}
-y^'+(2y)/x =(y^2)/x	-y^{\prime\:}+\frac{2y}{x}=\frac{y^{2}}{x}
limit as x approaches infinity of ln(3x)-ln(x+7)	\lim\:_{x\to\:\infty\:}(\ln(3x)-\ln(x+7))
(dy)/(dt)=2y+3e^{2t}	\frac{dy}{dt}=2y+3e^{2t}
derivative of 2xsqrt(x^2+1)	\frac{d}{dx}(2x\sqrt{x^{2}+1})
limit as x approaches 0 of ((9^x-7^x))/x	\lim\:_{x\to\:0}(\frac{(9^{x}-7^{x})}{x})
(\partial)/(\partial x)(2-6y)	\frac{\partial\:}{\partial\:x}(2-6y)
integral of 1/((xsqrt(x)))	\int\:\frac{1}{(x\sqrt{x})}dx
14x+(dy)/(dx)=0	14x+\frac{dy}{dx}=0
(dy)/(dx)=4y^2sec^2(2x)	\frac{dy}{dx}=4y^{2}\sec^{2}(2x)
derivative of g(x)=-8e^{x^2-1}	derivative\:g(x)=-8e^{x^{2}-1}
integral of (6x+7)/((9x^2+21x)^3)	\int\:\frac{6x+7}{(9x^{2}+21x)^{3}}dx
y^'=1-(4y)/(100)	y^{\prime\:}=1-\frac{4y}{100}
inverse oflaplace (e^{-spi})/((s)^2+1)	inverselaplace\:\frac{e^{-sπ}}{(s)^{2}+1}
derivative of (x^2/(x^3+8))	\frac{d}{dx}(\frac{x^{2}}{x^{3}+8})
derivative of 10sqrt(3)sin(x-10cos(x))	\frac{d}{dx}(10\sqrt{3}\sin(x)-10\cos(x))
integral of (x^2+2x-1)/((x+1)^2)	\int\:\frac{x^{2}+2x-1}{(x+1)^{2}}dx
derivative of f(t)=(1+sqrt(t))(8t^2-5)	derivative\:f(t)=(1+\sqrt{t})(8t^{2}-5)
sum from n=1 to infinity of (1+6/n)^{-n}	\sum\:_{n=1}^{\infty\:}(1+\frac{6}{n})^{-n}
derivative of (4x/(1-tan(x)))	\frac{d}{dx}(\frac{4x}{1-\tan(x)})
integral of 1/(x^2+60)	\int\:\frac{1}{x^{2}+60}dx
limit as x approaches infinity of 4xe^{(1/x)}-4x	\lim\:_{x\to\:\infty\:}(4xe^{(\frac{1}{x})}-4x)
integral of (sqrt(2y)-1/(sqrt(2y)))	\int\:(\sqrt{2y}-\frac{1}{\sqrt{2y}})dy
tangent of 2x^2-x^4	tangent\:2x^{2}-x^{4}
limit as x approaches-3 of 7/((x+3)^2)	\lim\:_{x\to\:-3}(\frac{7}{(x+3)^{2}})
tangent of f(x)= 3/x ,\at x=2	tangent\:f(x)=\frac{3}{x},\at\:x=2
(\partial)/(\partial x)(ln(7x^2+4y^2+8))	\frac{\partial\:}{\partial\:x}(\ln(7x^{2}+4y^{2}+8))
area y^2-3x=4,x-y=2	area\:y^{2}-3x=4,x-y=2
derivative of y= 2/x-x/2	derivative\:y=\frac{2}{x}-\frac{x}{2}
derivative of y=-sin(x)-1/x	derivative\:y=-\sin(x)-\frac{1}{x}
limit as x approaches 3+of 5x-[\|x\|]	\lim\:_{x\to\:3+}(5x-[\left\|x\right\|])
derivative of (25-x^2^{1/2})	\frac{d}{dx}((25-x^{2})^{\frac{1}{2}})
inverse oflaplace-(e^{-s})/(s^2)	inverselaplace\:-\frac{e^{-s}}{s^{2}}
integral of (x^3)/(sqrt(x^2+1))	\int\:\frac{x^{3}}{\sqrt{x^{2}+1}}dx
derivative of (sqrt(4-x^2)^2)	\frac{d}{dx}((\sqrt{4-x^{2}})^{2})
derivative of e^{z/((z-3))}	derivative\:e^{\frac{z}{(z-3)}}

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