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Popular Calculus Problems

f(z)=e^z	f(z)=e^{z}
derivative of 1-cos(6x)	\frac{d}{dx}(1-\cos(6x))
sum from n=4 to infinity of 1	\sum\:_{n=4}^{\infty\:}1
limit as x approaches infinity of 2x+4	\lim\:_{x\to\:\infty\:}(2x+4)
derivative of f(x)=(cos(x))^2	derivative\:f(x)=(\cos(x))^{2}
integral of cos(nx)	\int\:\cos(nx)dx
derivative of sin^2(3-x)	\frac{d}{dx}(\sin^{2}(3-x))
derivative of sqrt(9-x^2-y^2)	\frac{d}{dx}(\sqrt{9-x^{2}-y^{2}})
derivative of sqrt(6)u+sqrt(7u)	derivative\:\sqrt{6}u+\sqrt{7u}
(\partial)/(\partial x)((-(3x+9))^9)	\frac{\partial\:}{\partial\:x}((-(3x+9))^{9})
derivative of sin(arcsin(x))	derivative\:\sin(\arcsin(x))
derivative of 3e^tcos(t)-3e^tsin(t)	derivative\:3e^{t}\cos(t)-3e^{t}\sin(t)
derivative of f(x)=5x-6x^2	derivative\:f(x)=5x-6x^{2}
derivative of f(x)=e^pi+pi^x	derivative\:f(x)=e^{π}+π^{x}
derivative of x^2-4xy+y^2=4	\frac{d}{dx}(x^{2}-4xy+y^{2})=4
integral of (3+z)/(1-z^2)	\int\:\frac{3+z}{1-z^{2}}dz
sum from n=0 to infinity of 1/(n^2)x^n	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{2}}x^{n}
area y= 2/3 x^{3/2}+3,[0,2]	area\:y=\frac{2}{3}x^{\frac{3}{2}}+3,[0,2]
derivative of y=x^n	derivative\:y=x^{n}
6/(sqrt(y))dx=(e^{3x}+1)dy	\frac{6}{\sqrt{y}}dx=(e^{3x}+1)dy
(x+1)((dy)/(dx))=x+6	(x+1)(\frac{dy}{dx})=x+6
f(x)=1+x^2	f(x)=1+x^{2}
derivative of (-7/(x^2))	\frac{d}{dx}(\frac{-7}{x^{2}})
laplacetransform sin(3t+pi/4)	laplacetransform\:\sin(3t+\frac{π}{4})
derivative of e^x-x^8	derivative\:e^{x}-x^{8}
integral of cos(2x+5)	\int\:\cos(2x+5)dx
(\partial)/(\partial x)(cos(4xy))	\frac{\partial\:}{\partial\:x}(\cos(4xy))
derivative of y=6x^2-10x-5x^{-2}	derivative\:y=6x^{2}-10x-5x^{-2}
(\partial)/(\partial x)(2klln((x-n)/(n-x)))	\frac{\partial\:}{\partial\:x}(2kl\ln(\frac{x-n}{n-x}))
f(x)=sqrt(x+3)-2	f(x)=\sqrt{x+3}-2
integral of (cos(pi/(x^{10)}))/(x^{11)}	\int\:\frac{\cos(\frac{π}{x^{10}})}{x^{11}}dx
derivative of (x+1/(2x-1))	\frac{d}{dx}(\frac{x+1}{2x-1})
derivative of f(x)=xsqrt(3-x^2)	derivative\:f(x)=x\sqrt{3-x^{2}}
integral of 3x-3	\int\:3x-3dx
limit as x approaches 3 of (2x-5)/(3x+4)	\lim\:_{x\to\:3}(\frac{2x-5}{3x+4})
derivative of x^{12}e^x	derivative\:x^{12}e^{x}
derivative of f(x)=-x^2+2x	derivative\:f(x)=-x^{2}+2x
derivative of f(x)= 1/10 x(x-2)(x-3)	derivative\:f(x)=\frac{1}{10}x(x-2)(x-3)
slope of f(x)=sqrt(5x)	slope\:f(x)=\sqrt{5x}
derivative of 27cos(3x)	\frac{d}{dx}(27\cos(3x))
integral from 1 to 6 of t^4ln(2t)	\int\:_{1}^{6}t^{4}\ln(2t)dt
derivative of ln(ln(1/x))	\frac{d}{dx}(\ln(\ln(\frac{1}{x})))
y^'+y=2	y^{\prime\:}+y=2
integral of 1/(15+4t-t^2)	\int\:\frac{1}{15+4t-t^{2}}dt
taylor 1/(1-x),22	taylor\:\frac{1}{1-x},22
inverse oflaplace s/(s^2+2)	inverselaplace\:\frac{s}{s^{2}+2}
tangent of f(x)=4x-32sqrt(x),\at x=4	tangent\:f(x)=4x-32\sqrt{x},\at\:x=4
x^2y^'+2xy-y^3=0	x^{2}y^{\prime\:}+2xy-y^{3}=0
integral of sqrt(1+t^2)	\int\:\sqrt{1+t^{2}}dt
limit as x approaches-1 of 1/(x^2)	\lim\:_{x\to\:-1}(\frac{1}{x^{2}})
tangent of-x^3(-2.8)	tangent\:-x^{3}(-2.8)
integral of (x^2)/(e^{2x)}	\int\:\frac{x^{2}}{e^{2x}}dx
d/(dθ)(7sin(θ))	\frac{d}{dθ}(7\sin(θ))
taylor-2xsin(x^2)	taylor\:-2x\sin(x^{2})
derivative of (sin(x)^3)	\frac{d}{dx}((\sin(x))^{3})
1/4 y^{''}+4y=tan(4t)-1/2 e^{3t}	\frac{1}{4}y^{\prime\:\prime\:}+4y=\tan(4t)-\frac{1}{2}e^{3t}
limit as x approaches 0 of (11^x-10^x)/x	\lim\:_{x\to\:0}(\frac{11^{x}-10^{x}}{x})
derivative of ln(sec(3x))	\frac{d}{dx}(\ln(\sec(3x)))
(dy)/(dt)=0.5y	\frac{dy}{dt}=0.5y
derivative of G(t)=(4t)/(t+5)	derivative\:G(t)=\frac{4t}{t+5}
derivative of arcsin(3x-4x^3)	\frac{d}{dx}(\arcsin(3x-4x^{3}))
derivative of log_{3}(11)p^3	derivative\:\log_{3}(11)p^{3}
tangent of y= 5/x ,(1,5)	tangent\:y=\frac{5}{x},(1,5)
derivative of (sin(2x)/(1+cos(x)))	\frac{d}{dx}(\frac{\sin(2x)}{1+\cos(x)})
(\partial)/(\partial x)(cos(xy)e^{x^2})	\frac{\partial\:}{\partial\:x}(\cos(xy)e^{x^{2}})
integral of (8+6x)/(1+x^2)	\int\:\frac{8+6x}{1+x^{2}}dx
integral of 5x+2	\int\:5x+2dx
integral of 8sin^4(xco)s^2x	\int\:8\sin^{4}(xco)s^{2}xdx
integral from 1 to 3 of (3-x^2)-(6-4x)	\int\:_{1}^{3}(3-x^{2})-(6-4x)dx
integral from 1 to 2 of (x^2+6)/(3x-x^2)	\int\:_{1}^{2}\frac{x^{2}+6}{3x-x^{2}}dx
integral of sqrt(7x+9)	\int\:\sqrt{7x+9}dx
integral from 1 to 4 of x^2+1	\int\:_{1}^{4}x^{2}+1dx
derivative of e^{2x^3}	derivative\:e^{2x^{3}}
derivative of 3sec(xtan(x))	\frac{d}{dx}(3\sec(x)\tan(x))
integral of sin^2(2x)cos(2x)	\int\:\sin^{2}(2x)\cos(2x)dx
derivative of (x^2)/(3x+7)	derivative\:\frac{x^{2}}{3x+7}
implicit (dy)/(dx),cos^2(x)+cos^2(y)=cos(2x+2y)	implicit\:\frac{dy}{dx},\cos^{2}(x)+\cos^{2}(y)=\cos(2x+2y)
derivative of e^{x/((x-1)})	\frac{d}{dx}(e^{\frac{x}{(x-1)}})
derivative of 5/(x+6)	derivative\:\frac{5}{x+6}
derivative of (x^2sqrt(3)/4)	\frac{d}{dx}(\frac{x^{2}\sqrt{3}}{4})
limit as θ approaches 0 of 2sec(θ)	\lim\:_{θ\to\:0}(2\sec(θ))
slope of (0,-1),(6,1)	slope\:(0,-1),(6,1)
limit as x approaches 0-of (x^3+3)/x	\lim\:_{x\to\:0-}(\frac{x^{3}+3}{x})
integral of x^2(x^3+1)^{3/4}	\int\:x^{2}(x^{3}+1)^{\frac{3}{4}}dx
derivative of e^{x^3+7x}	\frac{d}{dx}(e^{x^{3}+7x})
derivative of 3e^x+5^x	derivative\:3e^{x}+5^{x}
integral from 0 to 3 of 3x-x^2	\int\:_{0}^{3}3x-x^{2}dx
(dy)/(dx)+e^{x-y}=0	\frac{dy}{dx}+e^{x-y}=0
integral of sin^3(19x)	\int\:\sin^{3}(19x)dx
sum from n=5 to infinity of n/((n+1)!)	\sum\:_{n=5}^{\infty\:}\frac{n}{(n+1)!}
integral of (8sec^2(4t))/(3+2tan(4t))	\int\:\frac{8\sec^{2}(4t)}{3+2\tan(4t)}dt
derivative of x/(x^2+16)	derivative\:\frac{x}{x^{2}+16}
integral of (x^2-4)/(x-2)	\int\:\frac{x^{2}-4}{x-2}dx
f(x)=(3x^2+2)^2(x^2-5x)^3	f(x)=(3x^{2}+2)^{2}(x^{2}-5x)^{3}
integral of x^2ln(x^3)	\int\:x^{2}\ln(x^{3})dx
limit as x approaches-1-of x^3+2x^2+1	\lim\:_{x\to\:-1-}(x^{3}+2x^{2}+1)
integral of x^4ln(5x)	\int\:x^{4}\ln(5x)dx
(ln(x^3))^'	(\ln(x^{3}))^{\prime\:}
inverse oflaplace 1/((s-1)(s^2-1))	inverselaplace\:\frac{1}{(s-1)(s^{2}-1)}
integral of x^5sqrt(x^3+5)	\int\:x^{5}\sqrt{x^{3}+5}dx

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