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Popular Calculus Problems

derivative of sqrt(x^2+c^2)	\frac{d}{dx}(\sqrt{x^{2}+c^{2}})
derivative of 2/(2+x)	\frac{d}{dx}(\frac{2}{2+x})
(\partial)/(\partial y)(3x^2-12y)	\frac{\partial\:}{\partial\:y}(3x^{2}-12y)
tangent of y=((x+1)/(x-1))^2,(3,4)	tangent\:y=(\frac{x+1}{x-1})^{2},(3,4)
tangent of f(x)=x^9,\at x=-1	tangent\:f(x)=x^{9},\at\:x=-1
derivative of e^{2x}n(3x)	\frac{d}{dx}(e^{2x}n(3x))
derivative of 3/8 pir^3	derivative\:\frac{3}{8}πr^{3}
limit as x approaches 0 of 8csc(x)-8/x	\lim\:_{x\to\:0}(8\csc(x)-\frac{8}{x})
sum from n=0 to infinity of 1^{-n}	\sum\:_{n=0}^{\infty\:}1^{-n}
integral of (3sqrt(x))	\int\:(3\sqrt{x})dx
integral from 0 to 1 of arcsin(y)	\int\:_{0}^{1}\arcsin(y)dy
tangent of f(x)=x^4-25x^2+144,\at x=-1	tangent\:f(x)=x^{4}-25x^{2}+144,\at\:x=-1
taylor e^{x/5}	taylor\:e^{\frac{x}{5}}
derivative of 14e^{x^2}x	derivative\:14e^{x^{2}}x
(\partial)/(\partial x)(ln(x^2+2y^2))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}+2y^{2}))
f(x)=x+cos(x)	f(x)=x+\cos(x)
implicit (dy)/(dx),xy=10	implicit\:\frac{dy}{dx},xy=10
(\partial)/(\partial x)(2e^x-4xe^y)	\frac{\partial\:}{\partial\:x}(2e^{x}-4xe^{y})
integral of sec^2(xta)n^6x	\int\:\sec^{2}(xta)n^{6}xdx
(\partial)/(\partial x)(y^2-x^3)	\frac{\partial\:}{\partial\:x}(y^{2}-x^{3})
derivative of ln(3+x-x^3)	\frac{d}{dx}(\ln(3+x-x^{3}))
integral of xsqrt(x-6)	\int\:x\sqrt{x-6}dx
derivative of xsinh(x-8cosh(x))	\frac{d}{dx}(x\sinh(x)-8\cosh(x))
derivative of (x^2+3/(x-1))	\frac{d}{dx}(\frac{x^{2}+3}{x-1})
integral of 5/(3x^2-2)	\int\:\frac{5}{3x^{2}-2}dx
limit as x approaches infinity of-5^x	\lim\:_{x\to\:\infty\:}(-5^{x})
derivative of-3	derivative\:-3
derivative of-(2sin(4sqrt(x)))/(sqrt(x))	derivative\:-\frac{2\sin(4\sqrt{x})}{\sqrt{x}}
area y=8cos(6x),y=8-8cos(6x)	area\:y=8\cos(6x),y=8-8\cos(6x)
derivative of sqrt(cos(8x))	derivative\:\sqrt{\cos(8x)}
y^{''}+1/4 y^'+2y=2cos(2t)	y^{\prime\:\prime\:}+\frac{1}{4}y^{\prime\:}+2y=2\cos(2t)
limit as x approaches a of e^{f(x)}	\lim\:_{x\to\:a}(e^{f(x)})
area f(x)=0.8x^2+4,g(x)=x,[-6,6]	area\:f(x)=0.8x^{2}+4,g(x)=x,[-6,6]
integral of u/x	\int\:\frac{u}{x}dx
derivative of y=sec^2(3x)	derivative\:y=\sec^{2}(3x)
d/(dy)(2y-1/x+cos(3x))	\frac{d}{dy}(2y-\frac{1}{x}+\cos(3x))
integral of (x*cos(5x))	\int\:(x\cdot\:\cos(5x))dx
taylor e^{1/x}0	taylor\:e^{\frac{1}{x}}0
integral of y\sqrt[3]{y+5}	\int\:y\sqrt[3]{y+5}dy
limit as x approaches+0 of (2^x-3^x)/x	\lim\:_{x\to\:+0}(\frac{2^{x}-3^{x}}{x})
derivative of e^{9e^x}	derivative\:e^{9e^{x}}
(dy)/(dx)= 1/(6x-42)	\frac{dy}{dx}=\frac{1}{6x-42}
derivative of y=(e^{4x^2+1})/8	derivative\:y=\frac{e^{4x^{2}+1}}{8}
derivative of sqrt(2)x+sqrt(5x)	derivative\:\sqrt{2}x+\sqrt{5x}
derivative of h(x)=x^2	derivative\:h(x)=x^{2}
f(x)= 1/(x^2+3)	f(x)=\frac{1}{x^{2}+3}
integral from 0 to 1 of 1/(x^{0.5)ln(x)}	\int\:_{0}^{1}\frac{1}{x^{0.5}\ln(x)}dx
tangent of f(x)=tan(x),\at x=pi	tangent\:f(x)=\tan(x),\at\:x=π
derivative of 3^2	\frac{d}{dx}(3^{2})
integral of ((5x^3)/(2x^2))	\int\:(\frac{5x^{3}}{2x^{2}})dx
sum from n=0 to infinity of 1/(n+8)	\sum\:_{n=0}^{\infty\:}\frac{1}{n+8}
slope of 3x^3-5x^2+5x-14	slope\:3x^{3}-5x^{2}+5x-14
dy=(b-y)/a dx	dy=\frac{b-y}{a}dx
integral of (nx)^{(1-n)/n}	\int\:(nx)^{\frac{1-n}{n}}dx
integral of x/(sqrt(8+2x-x^2))	\int\:\frac{x}{\sqrt{8+2x-x^{2}}}dx
limit as x approaches 0+of x^{1-cos(x)}	\lim\:_{x\to\:0+}(x^{1-\cos(x)})
limit as x approaches+0+of (e^x-1)/x	\lim\:_{x\to\:+0+}(\frac{e^{x}-1}{x})
(\partial)/(\partial y)((xz)/(x^2+y^2))	\frac{\partial\:}{\partial\:y}(\frac{xz}{x^{2}+y^{2}})
inverse oflaplace 7/((s-1)^3)	inverselaplace\:\frac{7}{(s-1)^{3}}
(10x+y)dx+(x+2y)dy=0	(10x+y)dx+(x+2y)dy=0
integral of 2e^{7x}	\int\:2e^{7x}dx
limit as x approaches+2 of (7x+4)/(3x+9)	\lim\:_{x\to\:+2}(\frac{7x+4}{3x+9})
integral of cos^2(2(x+4))	\int\:\cos^{2}(2(x+4))dx
integral of sqrt(x^3+1)	\int\:\sqrt{x^{3}+1}dx
integral of (sec(x)+3)^2	\int\:(\sec(x)+3)^{2}dx
integral of (2xe^{2x})	\int\:(2xe^{2x})dx
integral of e^{7x}	\int\:e^{7x}dx
y^{''}+2y^'+1y=1,y(1)=1,y^'(1)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+1y=1,y(1)=1,y^{\prime\:}(1)=0
limit as n approaches infinity of n^2x	\lim\:_{n\to\:\infty\:}(n^{2}x)
derivative of f(x)=e^{13}	derivative\:f(x)=e^{13}
y^'-4/x y=(y^4)/(x^4),y(1)=1	y^{\prime\:}-\frac{4}{x}y=\frac{y^{4}}{x^{4}},y(1)=1
(\partial)/(\partial x)(-xz)	\frac{\partial\:}{\partial\:x}(-xz)
integral of ln(1-2x)	\int\:\ln(1-2x)dx
integral of (x+1)^{-1/2}	\int\:(x+1)^{-\frac{1}{2}}dx
integral of 4xe^{-5x}	\int\:4xe^{-5x}dx
limit as x approaches a of 1/x	\lim\:_{x\to\:a}(\frac{1}{x})
integral of sin(5t)	\int\:\sin(5t)dt
limit as x approaches-5 of 1/(x+5)	\lim\:_{x\to\:-5}(\frac{1}{x+5})
derivative of 3/5 x^{15}	\frac{d}{dx}(\frac{3}{5}x^{15})
(3x+5y)dx+(5x-8y3)dy=0	(3x+5y)dx+(5x-8y3)dy=0
integral of (cos(x)sin^4(x))	\int\:(\cos(x)\sin^{4}(x))dx
integral from 0 to 3 of (sqrt(x+1))	\int\:_{0}^{3}(\sqrt{x+1})dx
derivative of f(x)=x^2-6x	derivative\:f(x)=x^{2}-6x
derivative of 1/2 arctan(x/2)	\frac{d}{dx}(\frac{1}{2}\arctan(\frac{x}{2}))
(\partial)/(\partial x)(((x-y))/((z-y)))	\frac{\partial\:}{\partial\:x}(\frac{(x-y)}{(z-y)})
derivative of y=(x^2+32sqrt(x))/8	derivative\:y=\frac{x^{2}+32\sqrt{x}}{8}
integral of (x^n)/(n^2)	\int\:\frac{x^{n}}{n^{2}}dx
integral of (x^3-3x)	\int\:(x^{3}-3x)dx
integral from 2 to 5 of e^{5x}	\int\:_{2}^{5}e^{5x}dx
limit as x approaches 1 of 3ln(x)+4	\lim\:_{x\to\:1}(3\ln(x)+4)
integral of-t+2	\int\:-t+2dt
(dy}{dx}=\frac{-4sin(x)cos(x))/y	\frac{dy}{dx}=\frac{-4\sin(x)\cos(x)}{y}
integral of v(v^2+2)^2	\int\:v(v^{2}+2)^{2}dv
y^{''}-6y^'+25y=0	y^{\prime\:\prime\:}-6y^{\prime\:}+25y=0
(\partial)/(\partial y)(xsin(6x^2y))	\frac{\partial\:}{\partial\:y}(x\sin(6x^{2}y))
integral of 24sec^5(x)	\int\:24\sec^{5}(x)dx
(dy)/(dx)=((y^2-1))/((x^2-1)),y(0)=1	\frac{dy}{dx}=\frac{(y^{2}-1)}{(x^{2}-1)},y(0)=1
(\partial)/(\partial x)(4xcos(xy))	\frac{\partial\:}{\partial\:x}(4x\cos(xy))
area f(x)=x^2+x+2,0,12	area\:f(x)=x^{2}+x+2,0,12
integral of (4+7x)/(1+x^2)	\int\:\frac{4+7x}{1+x^{2}}dx

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