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Popular Calculus Problems

derivative of f(x)=2x^4	derivative\:f(x)=2x^{4}
derivative of sin(x^2y^2)	\frac{d}{dx}(\sin(x^{2}y^{2}))
(\partial)/(\partial y)(4xln(y))	\frac{\partial\:}{\partial\:y}(4x\ln(y))
tangent of f(x)=3x^2-x^3,(1,2)	tangent\:f(x)=3x^{2}-x^{3},(1,2)
slope ofintercept (-3,-5),(-2,-3)	slopeintercept\:(-3,-5),(-2,-3)
derivative of (1+xe^{-x})	\frac{d}{dx}((1+x)e^{-x})
integral of 8x^2	\int\:8x^{2}dx
4y^{''}-5y^'=0,y(-2)=0,y^'(-2)=7	4y^{\prime\:\prime\:}-5y^{\prime\:}=0,y(-2)=0,y^{\prime\:}(-2)=7
inverse oflaplace s+1	inverselaplace\:s+1
derivative of cos(x^2+3)	\frac{d}{dx}(\cos(x^{2}+3))
derivative of sqrt(sin(e^{x^5sin(x))})	\frac{d}{dx}(\sqrt{\sin(e^{x^{5}\sin(x)})})
y^'=4.9-22.22y	y^{\prime\:}=4.9-22.22y
derivative of (x-5)(x+4)(x+5)	derivative\:(x-5)(x+4)(x+5)
integral of tan^3(x)sec^7(x)	\int\:\tan^{3}(x)\sec^{7}(x)dx
integral of 7x^3sqrt(x)	\int\:7x^{3}\sqrt{x}dx
sum from n=0 to infinity of (5x-3)^n	\sum\:_{n=0}^{\infty\:}(5x-3)^{n}
tangent of y=ln(sqrt(3-2x)),\at x=-3	tangent\:y=\ln(\sqrt{3-2x}),\at\:x=-3
integral of ln(x+3)	\int\:\ln(x+3)dx
derivative of (3x-2^3)	\frac{d}{dx}((3x-2)^{3})
area y=9x-x^2,y=2x	area\:y=9x-x^{2},y=2x
integral of x^7e^{-x^8}	\int\:x^{7}e^{-x^{8}}dx
y^'+1/x y=x^2y^1	y^{\prime\:}+\frac{1}{x}y=x^{2}y^{1}
integral of 1/(3^x)	\int\:\frac{1}{3^{x}}dx
y^'=2y+1	y^{\prime\:}=2y+1
laplacetransform cos(t-(2pi)/3)	laplacetransform\:\cos(t-\frac{2π}{3})
limit as x approaches 0 of (7^x-4^x)/x	\lim\:_{x\to\:0}(\frac{7^{x}-4^{x}}{x})
integral of (x-3)/(sqrt(8x-x^2))	\int\:\frac{x-3}{\sqrt{8x-x^{2}}}dx
integral of 2/(4x^2+1)	\int\:\frac{2}{4x^{2}+1}dx
integral of 1/(1+x^3)	\int\:\frac{1}{1+x^{3}}dx
slope of (1, 13/2),(6,-4)	slope\:(1,\frac{13}{2}),(6,-4)
derivative of (4x+6/(sqrt(x^2+3x+4)))	\frac{d}{dx}(\frac{4x+6}{\sqrt{x^{2}+3x+4}})
inverse oflaplace 2/((s^2+1)^2)	inverselaplace\:\frac{2}{(s^{2}+1)^{2}}
derivative of y=(x+1/x)/(2sqrt(x)+1/x)	derivative\:y=\frac{x+\frac{1}{x}}{2\sqrt{x}+\frac{1}{x}}
integral of 1/(xsqrt(12-x^2))	\int\:\frac{1}{x\sqrt{12-x^{2}}}dx
integral of sec(7w)tan(7w)	\int\:\sec(7w)\tan(7w)dw
derivative of f(x)=arctan((x-1)/(x+1))	derivative\:f(x)=\arctan(\frac{x-1}{x+1})
(d^2)/(dx^2)(x^2e^{-x})	\frac{d^{2}}{dx^{2}}(x^{2}e^{-x})
(dh)/(dt)=-h^3	\frac{dh}{dt}=-h^{3}
(\partial)/(\partial x)(ln(x^2y^2))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}y^{2}))
derivative of e^{(inx/(2x)})	\frac{d}{dx}(e^{\frac{inx}{2x}})
integral of (sin(2θ))/(sqrt(cos(2θ)))	\int\:\frac{\sin(2θ)}{\sqrt{\cos(2θ)}}dθ
derivative of y*sin(x)	\frac{d}{dx}(y\cdot\:\sin(x))
limit as x approaches 2-of x-2	\lim\:_{x\to\:2-}(x-2)
tangent of-1/x	tangent\:-\frac{1}{x}
tangent of-x^2-x+3	tangent\:-x^{2}-x+3
y^{''}-12y^'+85y=0	y^{\prime\:\prime\:}-12y^{\prime\:}+85y=0
derivative of sqrt((x^2+2x+1/(x^2-1)))	\frac{d}{dx}(\sqrt{\frac{x^{2}+2x+1}{x^{2}-1}})
derivative of f(x)= 1/(x^6)	derivative\:f(x)=\frac{1}{x^{6}}
(\partial)/(\partial y)(y^2+y)	\frac{\partial\:}{\partial\:y}(y^{2}+y)
integral of 10tan^3(x)sec(x)	\int\:10\tan^{3}(x)\sec(x)dx
integral of (x^2+1)/x	\int\:\frac{x^{2}+1}{x}dx
integral from 1 to infinity of 1/(x+1)	\int\:_{1}^{\infty\:}\frac{1}{x+1}dx
derivative of f(x)=(x^4)/8+1/(4x^2)	derivative\:f(x)=\frac{x^{4}}{8}+\frac{1}{4x^{2}}
derivative of y=log_{x}(e)	derivative\:y=\log_{x}(e)
integral of (sec(x)tan(x))	\int\:(\sec(x)\tan(x))dx
derivative of x^3cos(x)	derivative\:x^{3}\cos(x)
integral from 0 to pi/(12) of tsin(4t)	\int\:_{0}^{\frac{π}{12}}t\sin(4t)dt
sum from n=0 to infinity of 1/(n+12)	\sum\:_{n=0}^{\infty\:}\frac{1}{n+12}
(\partial)/(\partial x)(4x^2y-2x+2y^3)	\frac{\partial\:}{\partial\:x}(4x^{2}y-2x+2y^{3})
integral from 0 to pi/4 of 4tan^4(x)	\int\:_{0}^{\frac{π}{4}}4\tan^{4}(x)dx
tangent of y=sin(sin(x)),(2pi,0)	tangent\:y=\sin(\sin(x)),(2π,0)
integral of 7xcos(2x)	\int\:7x\cos(2x)dx
integral from 0 to 1 of sin^2(2pit)	\int\:_{0}^{1}\sin^{2}(2πt)dt
integral from 0 to 2 of 1/(x^2-4x+3)	\int\:_{0}^{2}\frac{1}{x^{2}-4x+3}dx
(d^5)/(dx^5)((2x+5)^7)	\frac{d^{5}}{dx^{5}}((2x+5)^{7})
derivative of Ax^2e^{-x}	\frac{d}{dx}(Ax^{2}e^{-x})
derivative of ((arcsin(1-x-1+x))/2)	\frac{d}{dx}(\frac{(\arcsin(1-x)-1+x)}{2})
(\partial)/(\partial x)(1/4 x^3)	\frac{\partial\:}{\partial\:x}(\frac{1}{4}x^{3})
integral of 1/(sqrt(16x^2-81))	\int\:\frac{1}{\sqrt{16x^{2}-81}}dx
integral of ln(3/x)	\int\:\ln(\frac{3}{x})dx
integral of-2/((x+1)^2)	\int\:-\frac{2}{(x+1)^{2}}dx
f(x)=ln(ln(ln(x)))	f(x)=\ln(\ln(\ln(x)))
(\partial)/(\partial x)(x^2ycos(xy))	\frac{\partial\:}{\partial\:x}(x^{2}y\cos(xy))
sum from n=0 to infinity of (n!)/(100^n)	\sum\:_{n=0}^{\infty\:}\frac{n!}{100^{n}}
(dy)/(dx)=15sqrt(xy)	\frac{dy}{dx}=15\sqrt{xy}
(\partial)/(\partial x)(e^{-2x}cos(θ))	\frac{\partial\:}{\partial\:x}(e^{-2x}\cos(θ))
limit as x approaches 0 of 1-(sin(x))/x	\lim\:_{x\to\:0}(1-\frac{\sin(x)}{x})
derivative of (2x^2/(\|x\|))	\frac{d}{dx}(\frac{2x^{2}}{\left\|x\right\|})
derivative of sqrt(1-e^x)	\frac{d}{dx}(\sqrt{1-e^{x}})
tangent of y=x^3-2x+2(4.58)	tangent\:y=x^{3}-2x+2(4.58)
derivative of \sqrt[7]{t^2}+2sqrt(t^7)	derivative\:\sqrt[7]{t^{2}}+2\sqrt{t^{7}}
area x^3+x^2-6x,-x^2+2x	area\:x^{3}+x^{2}-6x,-x^{2}+2x
derivative of 5x^{-2}+500	\frac{d}{dx}(5x^{-2}+500)
integral of x^5In(x)	\int\:x^{5}In(x)dx
(d^2)/(dx^2)(8x^{-2})	\frac{d^{2}}{dx^{2}}(8x^{-2})
integral of (2x^2+x)*e^{-3x}	\int\:(2x^{2}+x)\cdot\:e^{-3x}dx
derivative of-ln(2x-3)	\frac{d}{dx}(-\ln(2x-3))
tangent of y=2x^3-x^2+4,(2,16)	tangent\:y=2x^{3}-x^{2}+4,(2,16)
area x=(y^2-1)/3 ,x=3+y	area\:x=\frac{y^{2}-1}{3},x=3+y
derivative of-2ln(x+x^2-4+e^x+x^e)	\frac{d}{dx}(-2\ln(x)+x^{2}-4+e^{x}+x^{e})
(\partial)/(\partial x)(2yz)	\frac{\partial\:}{\partial\:x}(2yz)
limit as x approaches 6-of e^{3/(6-x)}	\lim\:_{x\to\:6-}(e^{\frac{3}{6-x}})
(dy)/(dx)=ysqrt(x)	\frac{dy}{dx}=y\sqrt{x}
derivative of (10-5x^2^{4/3})	\frac{d}{dx}((10-5x^{2})^{\frac{4}{3}})
derivative of f(x)=7x-7sqrt(x)	derivative\:f(x)=7x-7\sqrt{x}
integral of (\sqrt[12]{x})	\int\:(\sqrt[12]{x})dx
sum from n=3 to infinity of 2n+5	\sum\:_{n=3}^{\infty\:}2n+5
derivative of ln(x+4+e^{-3x})	derivative\:\ln(x+4+e^{-3x})
derivative of (2(1-x)/(3\sqrt[3]{x)}-x^{2/3})	\frac{d}{dx}(\frac{2(1-x)}{3\sqrt[3]{x}}-x^{\frac{2}{3}})
derivative of sqrt(2)tan(x)	\frac{d}{dx}(\sqrt{2}\tan(x))

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