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Popular Calculus Problems
derivative of x^2+8
\frac{d}{dx}(x^{2}+8)
(x+y)dx+xln(x)dy=0
(x+y)dx+x\ln(x)dy=0
(\partial)/(\partial y)(sqrt(x)e^{xy})
\frac{\partial\:}{\partial\:y}(\sqrt{x}e^{xy})
limit as x approaches 7 of tan((pix)/6)
\lim\:_{x\to\:7}(\tan(\frac{πx}{6}))
tangent of f(x)=3+4x^2-2x^3,(1,5)
tangent\:f(x)=3+4x^{2}-2x^{3},(1,5)
(d^3x)/(dt^3)=4t^3+t
\frac{d^{3}x}{dt^{3}}=4t^{3}+t
derivative of (2x^2+1/x)
\frac{d}{dx}(\frac{2x^{2}+1}{x})
integral of 5*sin(x)
\int\:5\cdot\:\sin(x)dx
(x^2+1)(dy)/(dx)+8x(y-1)=0,y(0)=2
(x^{2}+1)\frac{dy}{dx}+8x(y-1)=0,y(0)=2
integral of 1/(sqrt(8-x^2))
\int\:\frac{1}{\sqrt{8-x^{2}}}dx
derivative of x^2-4x+6
derivative\:x^{2}-4x+6
integral of 1/(y^{11/5)}
\int\:\frac{1}{y^{\frac{11}{5}}}dy
derivative of (x^2y^2/2)
\frac{d}{dx}(\frac{x^{2}y^{2}}{2})
integral of-4x^6-5x^5-2x^2+5-e^x
\int\:-4x^{6}-5x^{5}-2x^{2}+5-e^{x}dx
derivative of f(x)=arcsec(x+2)
derivative\:f(x)=\arcsec(x+2)
derivative of x6^x
derivative\:x6^{x}
(\partial)/(\partial x)(1/(x+3))
\frac{\partial\:}{\partial\:x}(\frac{1}{x+3})
limit as x approaches 0 of |x^2-1|
\lim\:_{x\to\:0}(\left|x^{2}-1\right|)
(\partial)/(\partial x)(21xye^{-x^2-y^2})
\frac{\partial\:}{\partial\:x}(21xye^{-x^{2}-y^{2}})
integral of e^{5x}sqrt(e^{5x)+4}
\int\:e^{5x}\sqrt{e^{5x}+4}dx
f(x)=(x+1/x)(2-x^2)
f(x)=(x+\frac{1}{x})(2-x^{2})
integral of (tan^5(x))/(sec(x))
\int\:\frac{\tan^{5}(x)}{\sec(x)}dx
derivative of (4x-1^3(5x+3)^2)
\frac{d}{dx}((4x-1)^{3}(5x+3)^{2})
integral of 1/((1+cos^2(x)))
\int\:\frac{1}{(1+\cos^{2}(x))}dx
integral of x\sqrt[3]{x-1}
\int\:x\sqrt[3]{x-1}dx
taylor e^{x/2}
taylor\:e^{\frac{x}{2}}
slope of 3x^2-4
slope\:3x^{2}-4
implicit (dy)/(dx),y^3=4x
implicit\:\frac{dy}{dx},y^{3}=4x
integral of (yln(y))
\int\:(y\ln(y))dy
(\partial)/(\partial x)((xy-3)e^{-xy})
\frac{\partial\:}{\partial\:x}((xy-3)e^{-xy})
(\partial)/(\partial x)((-3x)/(x^2+y^2))
\frac{\partial\:}{\partial\:x}(\frac{-3x}{x^{2}+y^{2}})
integral of 1/(x^2+b)
\int\:\frac{1}{x^{2}+b}dx
integral from-8 to 32 of 1/(sqrt(|2x|))
\int\:_{-8}^{32}\frac{1}{\sqrt{\left|2x\right|}}dx
integral of e^3
\int\:e^{3}dx
xy^'-y=-x^2+x-1
xy^{\prime\:}-y=-x^{2}+x-1
integral of x^2sqrt(2-x^2)
\int\:x^{2}\sqrt{2-x^{2}}dx
(\partial)/(\partial x)(sqrt(8-x^2-3y^2))
\frac{\partial\:}{\partial\:x}(\sqrt{8-x^{2}-3y^{2}})
integral of (2t+1)e^{t^2+t}
\int\:(2t+1)e^{t^{2}+t}dt
derivative of ln(5x^2-3x+4)
\frac{d}{dx}(\ln(5x^{2}-3x+4))
derivative of (ln(x))/(x^4)
derivative\:\frac{\ln(x)}{x^{4}}
integral of (sqrt(x))/(x-36)
\int\:\frac{\sqrt{x}}{x-36}dx
tangent of y=4x-x^2
tangent\:y=4x-x^{2}
x*sin(x)*dx+cos(y)*dy=0
x\cdot\:\sin(x)\cdot\:dx+\cos(y)\cdot\:dy=0
integral of y^2-2y+1
\int\:y^{2}-2y+1dy
(\partial)/(\partial v)(vcos(u))
\frac{\partial\:}{\partial\:v}(v\cos(u))
integral of cot^7(2x)
\int\:\cot^{7}(2x)dx
(dy)/(dx)=(x-1)/(3y^2)
\frac{dy}{dx}=\frac{x-1}{3y^{2}}
derivative of 3e^{5x}cos(6x)
derivative\:3e^{5x}\cos(6x)
integral of (x^4e^x-6x^3)/(x^4)
\int\:\frac{x^{4}e^{x}-6x^{3}}{x^{4}}dx
inverse oflaplace (2s)/(s+10)
inverselaplace\:\frac{2s}{s+10}
tangent of y=x^3+2,(2,2)
tangent\:y=x^{3}+2,(2,2)
(\partial)/(\partial x)(xy*ln(x+y))
\frac{\partial\:}{\partial\:x}(xy\cdot\:\ln(x+y))
derivative of f(x)=4xln(x)-7x
derivative\:f(x)=4x\ln(x)-7x
integral of 1/(sinh(x))
\int\:\frac{1}{\sinh(x)}dx
integral of 2x^2-5
\int\:2x^{2}-5dx
integral of x*\sqrt[3]{x^{10}}
\int\:x\cdot\:\sqrt[3]{x^{10}}dx
derivative of sqrt((x^2*6^x)^3)
derivative\:\sqrt{(x^{2}\cdot\:6^{x})^{3}}
derivative of ln(3x^2+5y^2)
\frac{d}{dx}(\ln(3x^{2}+5y^{2}))
derivative of (sqrt(x+5)/(sqrt(x+2)))
\frac{d}{dx}(\frac{\sqrt{x+5}}{\sqrt{x+2}})
xy^'+2y=e^{(2x^2)}
xy^{\prime\:}+2y=e^{(2x^{2})}
(\partial)/(\partial x)(x*arcsin(y/x))
\frac{\partial\:}{\partial\:x}(x\cdot\:\arcsin(\frac{y}{x}))
inverse oflaplace (10)/((s+4)(s+2)^3)
inverselaplace\:\frac{10}{(s+4)(s+2)^{3}}
integral of cos^2(2x+1)
\int\:\cos^{2}(2x+1)dx
(\partial)/(\partial x)(-2tan(x)sin(2y))
\frac{\partial\:}{\partial\:x}(-2\tan(x)\sin(2y))
derivative of-Ae^{-x}
\frac{d}{dx}(-Ae^{-x})
derivative of (3x/(2x-1))
\frac{d}{dx}(\frac{3x}{2x-1})
derivative of ln({g}(x(3x^2)))
\frac{d}{dx}(\ln({g}(x)(3x^{2})))
derivative of e^{2x}sin(x)
\frac{d}{dx}(e^{2x}\sin(x))
integral of y/((y+5)(2y-1))
\int\:\frac{y}{(y+5)(2y-1)}dy
taylor f(t)=ln(1+2*t)
taylor\:f(t)=\ln(1+2\cdot\:t)
integral of 7/((x-10)^7)
\int\:\frac{7}{(x-10)^{7}}dx
integral of x/(3x-2)
\int\:\frac{x}{3x-2}dx
derivative of f(x)=(-x^2-1)/((x^2-1)^2)
derivative\:f(x)=\frac{-x^{2}-1}{(x^{2}-1)^{2}}
integral of tan^3(19pix)
\int\:\tan^{3}(19πx)dx
taylor 1/(1+x)
taylor\:\frac{1}{1+x}
integral of x-y
\int\:x-ydx
limit as x approaches infinity of x^3sin(1/x)
\lim\:_{x\to\:\infty\:}(x^{3}\sin(\frac{1}{x}))
derivative of arctan(6y^5+1)
derivative\:\arctan(6y^{5}+1)
(\partial)/(\partial x)(y^2cos(yx))
\frac{\partial\:}{\partial\:x}(y^{2}\cos(yx))
integral of 2xsqrt(x-1)
\int\:2x\sqrt{x-1}dx
derivative of x(3-2x^5)
\frac{d}{dx}(x(3-2x)^{5})
y^{''}+4y=t^2e^{3t}+3
y^{\prime\:\prime\:}+4y=t^{2}e^{3t}+3
xy^'=y^2+1
xy^{\prime\:}=y^{2}+1
(dy)/(dx)+3y=x+e^{-2x}
\frac{dy}{dx}+3y=x+e^{-2x}
inverse oflaplace 3/(s+2)
inverselaplace\:\frac{3}{s+2}
(x/(1+x^2))^'
(\frac{x}{1+x^{2}})^{\prime\:}
integral from 0 to 2pi of 1
\int\:_{0}^{2π}1dθ
derivative of 4arcsin(e^{x/2})
derivative\:4\arcsin(e^{\frac{x}{2}})
derivative of yx^2
\frac{d}{dx}(yx^{2})
(\partial)/(\partial x)(sin(-x)cos(2y))
\frac{\partial\:}{\partial\:x}(\sin(-x)\cos(2y))
limit as x approaches 0 of (ln(3x+1))/x
\lim\:_{x\to\:0}(\frac{\ln(3x+1)}{x})
tangent of 19-x^2
tangent\:19-x^{2}
(\partial)/(\partial x)(ln(x^2+y^2))
\frac{\partial\:}{\partial\:x}(\ln(x^{2}+y^{2}))
y^{''}=4y
y^{\prime\:\prime\:}=4y
integral of sqrt(tan(2x))(sec(2x))^2
\int\:\sqrt{\tan(2x)}(\sec(2x))^{2}dx
inverse oflaplace (s+12)/((s^2+4s))
inverselaplace\:\frac{s+12}{(s^{2}+4s)}
d/(dt)(5/((5-t)^2))
\frac{d}{dt}(\frac{5}{(5-t)^{2}})
integral of (x-5)/(x^3+2x^2+x)
\int\:\frac{x-5}{x^{3}+2x^{2}+x}dx
(\partial)/(\partial x)(xln(z^5+x^4))
\frac{\partial\:}{\partial\:x}(x\ln(z^{5}+x^{4}))
(\partial)/(\partial x)(7xy^2+1)
\frac{\partial\:}{\partial\:x}(7xy^{2}+1)
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