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Popular Calculus Problems

derivative of arcsin(6/7 x)	derivative\:\arcsin(\frac{6}{7}x)
integral of (2xy)/(3x^2-y^2)	\int\:\frac{2xy}{3x^{2}-y^{2}}
integral of tan^3(4x)sec(4x)	\int\:\tan^{3}(4x)\sec(4x)dx
tangent of f(x)=9xe^x,(0,0)	tangent\:f(x)=9xe^{x},(0,0)
derivative of f(x)= 1/5 x^4-4x^2+1	derivative\:f(x)=\frac{1}{5}x^{4}-4x^{2}+1
derivative of (3x+2/(2sqrt(x+1)))	\frac{d}{dx}(\frac{3x+2}{2\sqrt{x+1}})
(x+1)y^'=x+6	(x+1)y^{\prime\:}=x+6
(\partial)/(\partial x)(3x^4-sin(5x)+4x)	\frac{\partial\:}{\partial\:x}(3x^{4}-\sin(5x)+4x)
limit as x approaches-2 of sqrt(x+2)	\lim\:_{x\to\:-2}(\sqrt{x+2})
(y-x)y^'=y-x+8	(y-x)y^{\prime\:}=y-x+8
limit as x approaches 0 of 2sqrt(x+1)-1	\lim\:_{x\to\:0}(2\sqrt{x+1}-1)
derivative of (ln(3x)^5)	\frac{d}{dx}((\ln(3x))^{5})
derivative of 2x^2-7x+k	derivative\:2x^{2}-7x+k
integral of (\sqrt[6]{x})	\int\:(\sqrt[6]{x})dx
tangent of y=-3x^3-3x^2-x+3,(-1,4)	tangent\:y=-3x^{3}-3x^{2}-x+3,(-1,4)
y^{''}+2y^'+2=cos(t),y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+2=\cos(t),y(0)=0,y^{\prime\:}(0)=0
y=-3x(dy)/(dx)	y=-3x\frac{dy}{dx}
derivative of (v^{-3}+3v^{-2})^3	derivative\:(v^{-3}+3v^{-2})^{3}
derivative of (9sqrt(x)+5x^2)	\frac{d}{dx}((9\sqrt{x}+5)x^{2})
derivative of y=8-6(x-1)	derivative\:y=8-6(x-1)
derivative of (x^2+5x^3)	\frac{d}{dx}((x^{2}+5x)^{3})
f(x)=ln(3x+1)	f(x)=\ln(3x+1)
integral of (x^3-2x^2)(1/x-5)	\int\:(x^{3}-2x^{2})(\frac{1}{x}-5)dx
limit as x approaches 2-of ln(2-x)	\lim\:_{x\to\:2-}(\ln(2-x))
integral of xe^{8x^2}	\int\:xe^{8x^{2}}dx
(dy)/(dt)=e^t(1-1)^2	\frac{dy}{dt}=e^{t}(1-1)^{2}
laplacetransform-5t^2	laplacetransform\:-5t^{2}
derivative of f(x)=((x^2+1))/(x-1)	derivative\:f(x)=\frac{(x^{2}+1)}{x-1}
integral of (7^x)	\int\:(7^{x})dx
integral of x^3e^{(x^2)/2}	\int\:x^{3}e^{\frac{x^{2}}{2}}dx
integral of 4/(x^2+5x-4)	\int\:\frac{4}{x^{2}+5x-4}dx
sum from n=1 to infinity of 9/(n(n+3))	\sum\:_{n=1}^{\infty\:}\frac{9}{n(n+3)}
derivative of (-1)/x	derivative\:\frac{-1}{x}
integral of x8^x	\int\:x8^{x}dx
(\partial)/(\partial x)(x^{1/2}y^{1/2})	\frac{\partial\:}{\partial\:x}(x^{\frac{1}{2}}y^{\frac{1}{2}})
inverse oflaplace 3/(s^4)	inverselaplace\:\frac{3}{s^{4}}
slope of x^2+2	slope\:x^{2}+2
integral of 1-2cos(x)+cos^2(x)	\int\:1-2\cos(x)+\cos^{2}(x)dx
integral of (e^{6/x})/(x^2)	\int\:\frac{e^{\frac{6}{x}}}{x^{2}}dx
derivative of 7e^x+2/(\sqrt[3]{x)}	derivative\:7e^{x}+\frac{2}{\sqrt[3]{x}}
integral of 1/s	\int\:\frac{1}{s}ds
(d^2)/(dx^2)((-2x+1)^3)	\frac{d^{2}}{dx^{2}}((-2x+1)^{3})
integral of (cosh(x))/(2+3sinh(x))	\int\:\frac{\cosh(x)}{2+3\sinh(x)}dx
derivative of (sec(x)/(1+sec(x)))	\frac{d}{dx}(\frac{\sec(x)}{1+\sec(x)})
derivative of (6x+2/(x+1))	\frac{d}{dx}(\frac{6x+2}{x+1})
limit as x approaches 1 of (a-x)(a+x)	\lim\:_{x\to\:1}((a-x)(a+x))
derivative of 3(sin(x+pi/2))	\frac{d}{dx}(3(\sin(x+\frac{π}{2})))
derivative of (x+2sqrt(2x-3))	\frac{d}{dx}((x+2)\sqrt{2x-3})
(\partial)/(\partial x)(x^2+3yz+4xy)	\frac{\partial\:}{\partial\:x}(x^{2}+3yz+4xy)
y^'=(xy^'+y)y^1985	y^{\prime\:}=(xy^{\prime\:}+y)y^{1}985
derivative of (2x/(x^3))	\frac{d}{dx}(\frac{2x}{x^{3}})
(\partial)/(\partial y)(ln(2x^3+3y^2))	\frac{\partial\:}{\partial\:y}(\ln(2x^{3}+3y^{2}))
derivative of (7x)/(x-3)	derivative\:\frac{7x}{x-3}
sum from n=0 to infinity of 7(0.1)^n	\sum\:_{n=0}^{\infty\:}7(0.1)^{n}
integral from 0 to 2 of (x^2)^2	\int\:_{0}^{2}(x^{2})^{2}dx
limit as x approaches 0 of 1/(1-e^x)-1/x	\lim\:_{x\to\:0}(\frac{1}{1-e^{x}}-\frac{1}{x})
derivative of w(x)=sqrt((x^2(2^x))^3)	derivative\:w(x)=\sqrt{(x^{2}(2^{x}))^{3}}
integral of e^{x^2}x	\int\:e^{x^{2}}xdx
integral of 120x(2x+1)^4	\int\:120x(2x+1)^{4}dx
derivative of ((3x^2-2/(2x+3))^{-2})	\frac{d}{dx}((\frac{3x^{2}-2}{2x+3})^{-2})
limit as x approaches-5+of (\|x-5\|)/(x-5)	\lim\:_{x\to\:-5+}(\frac{\left\|x-5\right\|}{x-5})
derivative of 9cos(x-cos(9x))	\frac{d}{dx}(9\cos(x)-\cos(9x))
(\partial)/(\partial x)(x^2+y^2+3xy)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+3xy)
limit as x approaches 0 of 1/(1+x)	\lim\:_{x\to\:0}(\frac{1}{1+x})
derivative of 6xe^{-kx}	\frac{d}{dx}(6xe^{-kx})
derivative of-5e^{-x}+30e^{-5x}	derivative\:-5e^{-x}+30e^{-5x}
integral of (1-3t)/(t^2)	\int\:\frac{1-3t}{t^{2}}dt
derivative of f(x)=(4x^2-7x+5)/(2x+3)	derivative\:f(x)=\frac{4x^{2}-7x+5}{2x+3}
derivative of f(x)=15e^{x^2}	derivative\:f(x)=15e^{x^{2}}
derivative of f(x)=3x^2+12	derivative\:f(x)=3x^{2}+12
derivative of 1/(x+\frac{1{x+1}})	\frac{d}{dx}(\frac{1}{x+\frac{1}{x+1}})
(\partial)/(\partial x)(ln(sin(xy)))	\frac{\partial\:}{\partial\:x}(\ln(\sin(xy)))
laplacetransform sin^2(4t)	laplacetransform\:\sin^{2}(4t)
derivative of 4x^2-3x+1	\frac{d}{dx}(4x^{2}-3x+1)
(\partial)/(\partial x)(2sqrt(y/x))	\frac{\partial\:}{\partial\:x}(2\sqrt{\frac{y}{x}})
limit as x approaches 0 of e^{4x}	\lim\:_{x\to\:0}(e^{4x})
(dx)/(dt)=6.4286-0.10714x	\frac{dx}{dt}=6.4286-0.10714x
derivative of y=5^{x^3}	derivative\:y=5^{x^{3}}
derivative of (8x)/(x^2-1)	derivative\:\frac{8x}{x^{2}-1}
integral from 6 to 8 of (38)/((x-6)^3)	\int\:_{6}^{8}\frac{38}{(x-6)^{3}}dx
laplacetransform 2x^2-3x+4	laplacetransform\:2x^{2}-3x+4
limit as x approaches 18 of-97x	\lim\:_{x\to\:18}(-97x)
y^'+y=xy^3,y(1)= 1/(sqrt(2))	y^{\prime\:}+y=xy^{3},y(1)=\frac{1}{\sqrt{2}}
limit as x approaches 0 of tan^x(4x)	\lim\:_{x\to\:0}(\tan^{x}(4x))
laplacetransform 7t	laplacetransform\:7t
y^'=2y,y(0)=2	y^{\prime\:}=2y,y(0)=2
derivative of 2/(sqrt(4x^2+4))	\frac{d}{dx}(\frac{2}{\sqrt{4x^{2}+4}})
derivative of (2-x^{1/2})	\frac{d}{dx}((2-x)^{\frac{1}{2}})
integral of 12y^2	\int\:12y^{2}dy
inverse oflaplace x^3-6x^2+15x-2	inverselaplace\:x^{3}-6x^{2}+15x-2
derivative of 2ln(sqrt(3x-1))	derivative\:2\ln(\sqrt{3x-1})
laplacetransform 5t	laplacetransform\:5t
derivative of e^{x^2}+x^3	derivative\:e^{x^{2}}+x^{3}
limit as x approaches 0 of cos^2(2x)	\lim\:_{x\to\:0}(\cos^{2}(2x))
integral of-cos((npix)/2)	\int\:-\cos(\frac{nπx}{2})dx
integral of sin(8t)	\int\:\sin(8t)dt
tangent of f(x)=(e^x)/(1+e^x),\at x=1	tangent\:f(x)=\frac{e^{x}}{1+e^{x}},\at\:x=1
(dy)/(dx)=7xe^y	\frac{dy}{dx}=7xe^{y}
derivative of-4x	\frac{d}{dx}(-4x)
parity e^xcot(x)csc(x)	parity\:e^{x}\cot(x)\csc(x)

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