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Popular Calculus Problems

d/(dy)(x*y^2)	\frac{d}{dy}(x\cdot\:y^{2})
d/(dt)(-asin(t)+bcos(t))	\frac{d}{dt}(-a\sin(t)+b\cos(t))
limit as x approaches 0 of (tan(8x))^x	\lim\:_{x\to\:0}((\tan(8x))^{x})
derivative of (3x/(e^x))	\frac{d}{dx}(\frac{3x}{e^{x}})
integral of 1/(xsqrt(9x^2+49))	\int\:\frac{1}{x\sqrt{9x^{2}+49}}dx
integral of 12xe^{-2x}	\int\:12xe^{-2x}dx
derivative of (sin(3x)^3+5x)	\frac{d}{dx}((\sin(3x))^{3}+5x)
laplacetransform cos(2t+pi)	laplacetransform\:\cos(2t+π)
derivative of ln(sec(x)+tan(x))	derivative\:\ln(\sec(x)+\tan(x))
derivative of x^{1/n}	\frac{d}{dx}(x^{\frac{1}{n}})
x+ye^{y/x}dx-xe^{y/x}dy=0	x+ye^{\frac{y}{x}}dx-xe^{\frac{y}{x}}dy=0
(\partial)/(\partial u)(au)	\frac{\partial\:}{\partial\:u}(au)
integral of x/(e^{x^2-8)}	\int\:\frac{x}{e^{x^{2}-8}}dx
(\partial)/(\partial x)(2ze^{xyz})	\frac{\partial\:}{\partial\:x}(2ze^{xyz})
d/(dθ)(1-sin(θ))	\frac{d}{dθ}(1-\sin(θ))
integral of e^{3x}(1+e^{3x})^7	\int\:e^{3x}(1+e^{3x})^{7}dx
integral of x^{2/3}+x	\int\:x^{\frac{2}{3}}+xdx
integral from-6 to 5 of \|x^2-3x-4\|	\int\:_{-6}^{5}\left\|x^{2}-3x-4\right\|dx
taylor cos^2(x)	taylor\:\cos^{2}(x)
integral of (x^2)/((x^2+16)^{3/2)}	\int\:\frac{x^{2}}{(x^{2}+16)^{\frac{3}{2}}}dx
(\partial)/(\partial x)((6x)/(y^2))	\frac{\partial\:}{\partial\:x}(\frac{6x}{y^{2}})
inverse oflaplace 1/(10*s)	inverselaplace\:\frac{1}{10\cdot\:s}
integral of y/3	\int\:\frac{y}{3}dy
derivative of 1/(\sqrt[3]{x^2+1})	\frac{d}{dx}(\frac{1}{\sqrt[3]{x^{2}+1}})
inverse oflaplace 2/(s^2)*e^{-s}	inverselaplace\:\frac{2}{s^{2}}\cdot\:e^{-s}
f^'(x)= 3/4*(1-x^2)	f^{\prime\:}(x)=\frac{3}{4}\cdot\:(1-x^{2})
derivative of sqrt(x^2+6x+3)	\frac{d}{dx}(\sqrt{x^{2}+6x+3})
derivative of 3x^2-12x+9	\frac{d}{dx}(3x^{2}-12x+9)
11t^2y^{''}-22y=9t^2-9	11t^{2}y^{\prime\:\prime\:}-22y=9t^{2}-9
limit as x approaches 0 of cos(2-2e^x)	\lim\:_{x\to\:0}(\cos(2-2e^{x}))
limit as x approaches 1 of 2	\lim\:_{x\to\:1}(2)
limit as x approaches 6-of tan((pix)/4)	\lim\:_{x\to\:6-}(\tan(\frac{πx}{4}))
integral of 1/(x(x^3+1))	\int\:\frac{1}{x(x^{3}+1)}dx
area y=e^{3x},x=0,x=3	area\:y=e^{3x},x=0,x=3
derivative of e^{-0.1x}	\frac{d}{dx}(e^{-0.1x})
derivative of f(x)=(x+1)^3(x+4)(x-3)^2	derivative\:f(x)=(x+1)^{3}(x+4)(x-3)^{2}
limit as x approaches 3+of x^3-cx	\lim\:_{x\to\:3+}(x^{3}-cx)
tangent of f(x)=4x^2-5x,\at x=-1	tangent\:f(x)=4x^{2}-5x,\at\:x=-1
integral of 1/(x^2*\sqrt[5]{x^2)}	\int\:\frac{1}{x^{2}\cdot\:\sqrt[5]{x^{2}}}dx
integral of (x^3*(1-x)^2)/2	\int\:\frac{x^{3}\cdot\:(1-x)^{2}}{2}dx
d/(dt)(2e^tsin(t))	\frac{d}{dt}(2e^{t}\sin(t))
integral of (sec(x)tan^5(x))^2	\int\:(\sec(x)\tan^{5}(x))^{2}dx
derivative of (3x^2-x+5^3)	\frac{d}{dx}((3x^{2}-x+5)^{3})
integral of cos^2(1)	\int\:\cos^{2}(1)dx
derivative of \sqrt[8]{x}-3/x	\frac{d}{dx}(\sqrt[8]{x}-\frac{3}{x})
limit as x approaches 0+of xe^{1/x}	\lim\:_{x\to\:0+}(xe^{\frac{1}{x}})
tangent of x^3+x^2+5x-1	tangent\:x^{3}+x^{2}+5x-1
integral of 3^{2x}e^x	\int\:3^{2x}e^{x}dx
limit as x approaches-4 of \|x\|	\lim\:_{x\to\:-4}(\left\|x\right\|)
derivative of ln(x^3+4)	\frac{d}{dx}(\ln(x^{3}+4))
derivative of h(x)=ln((x^2-1)/(x^2+1))	derivative\:h(x)=\ln(\frac{x^{2}-1}{x^{2}+1})
y^'=2cos(5x)	y^{\prime\:}=2\cos(5x)
y^{''}+3y^'+2y=x^2	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=x^{2}
derivative of (-2/(xsqrt(x)))	\frac{d}{dx}(\frac{-2}{x\sqrt{x}})
derivative of (3x^{1/2})	\frac{d}{dx}((3x)^{\frac{1}{2}})
derivative of 14e^{2x}	\frac{d}{dx}(14e^{2x})
(cos(6x))y^'-6(tan(6x))y=-2sec(6x)	(\cos(6x))y^{\prime\:}-6(\tan(6x))y=-2\sec(6x)
derivative of (x^6-6sqrt(x))	\frac{d}{dx}((x^{6}-6)\sqrt{x})
derivative of xsin(x)	derivative\:x\sin(x)
limit as x approaches 1+of 1/(x^3-x^2)	\lim\:_{x\to\:1+}(\frac{1}{x^{3}-x^{2}})
integral of tan^3(4x)sec^5(4x)	\int\:\tan^{3}(4x)\sec^{5}(4x)dx
derivative of log_{3}(sin(x))	\frac{d}{dx}(\log_{3}(\sin(x)))
integral of 5xln(sqrt(1+x))	\int\:5x\ln(\sqrt{1+x})dx
area x^2,sqrt(x)	area\:x^{2},\sqrt{x}
derivative of 8sin(8x)	\frac{d}{dx}(8\sin(8x))
derivative of x^{1/1}	\frac{d}{dx}(x^{\frac{1}{1}})
derivative of f(x)= x/(sqrt(x^2+7))	derivative\:f(x)=\frac{x}{\sqrt{x^{2}+7}}
limit as x approaches+0+of (x^2)/4-2/x	\lim\:_{x\to\:+0+}(\frac{x^{2}}{4}-\frac{2}{x})
y^{''}+6y^'+9y=1+x	y^{\prime\:\prime\:}+6y^{\prime\:}+9y=1+x
derivative of Inx^3	\frac{d}{dx}(Inx^{3})
slope of (4,-9),(8,-3)	slope\:(4,-9),(8,-3)
(d^2x)/(dt^2)-4(dx)/(dt)=4x	\frac{d^{2}x}{dt^{2}}-4\frac{dx}{dt}=4x
(dN)/(dt)+N=Nte^{t+7}	\frac{dN}{dt}+N=Nte^{t+7}
integral from-1 to 0 of (2x-1)	\int\:_{-1}^{0}(2x-1)dx
f^{''}(x)=-f(x),f(0)=0,f^'(0)=1	f^{\prime\:\prime\:}(x)=-f(x),f(0)=0,f^{\prime\:}(0)=1
sum from n=1 to infinity}e^{-6n of-e^{-6(n+1)}	\sum\:_{n=1}^{\infty\:}e^{-6n}-e^{-6(n+1)}
integral of (4x-3)5	\int\:(4x-3)5dx
integral from-2 to 6 of 4x-x^2-12	\int\:_{-2}^{6}4x-x^{2}-12dx
derivative of 3x^2e^x+e^x(x^3+7)	derivative\:3x^{2}e^{x}+e^{x}(x^{3}+7)
tangent of f(x)=x^2+x,\at x=-3	tangent\:f(x)=x^{2}+x,\at\:x=-3
y^'+y=cos(t)	y^{\prime\:}+y=\cos(t)
limit as x approaches-infinity of 3	\lim\:_{x\to\:-\infty\:}(3)
derivative of 3^{sin(3x})	\frac{d}{dx}(3^{\sin(3x)})
integral of x/(4+x)	\int\:\frac{x}{4+x}dx
laplacetransform e(t+1)	laplacetransform\:e(t+1)
(\partial)/(\partial y)(3x^4e^y)	\frac{\partial\:}{\partial\:y}(3x^{4}e^{y})
integral of (24)/((x^2-9))	\int\:\frac{24}{(x^{2}-9)}dx
integral of 1/(sqrt(5-4r-r^2))	\int\:\frac{1}{\sqrt{5-4r-r^{2}}}dr
tangent of f(x)= x/(1+5x^2),\at x=3	tangent\:f(x)=\frac{x}{1+5x^{2}},\at\:x=3
derivative of y=sqrt(x)+3	derivative\:y=\sqrt{x}+3
integral of 5sin^3(6x)cos^3(6x)	\int\:5\sin^{3}(6x)\cos^{3}(6x)dx
integral of (5x^5)/(5+x^6)	\int\:\frac{5x^{5}}{5+x^{6}}dx
tangent of 4x^2+2x,\at-3	tangent\:4x^{2}+2x,\at\:-3
integral of r/(sqrt(r^2+z^2))	\int\:\frac{r}{\sqrt{r^{2}+z^{2}}}dr
derivative of 1/(1+1/x)	\frac{d}{dx}(\frac{1}{1+\frac{1}{x}})
limit as x approaches 3 of x^2+5x	\lim\:_{x\to\:3}(x^{2}+5x)
(dy)/(dx)= 1/11 sqrt(y)cos^2(sqrt(y))	\frac{dy}{dx}=\frac{1}{11}\sqrt{y}\cos^{2}(\sqrt{y})
(dy)/(dx)=-9x-9y	\frac{dy}{dx}=-9x-9y
derivative of f(x)=(4x-7)^2	derivative\:f(x)=(4x-7)^{2}
derivative of Ae^{-2x}	\frac{d}{dx}(Ae^{-2x})

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