dydx(1+e(y−x+5))\frac{dy}{dx}\left(1+e^{\left(y-x+5\right)}\right)dxdy(1+e(y−x+5))
4b22\sqrt[2]{4b^2}24b2
f(x)=sin−1(1x−1)f\left(x\right)=\sin^{-1}\left(\frac{1}{x}-1\right)f(x)=sin−1(x1−1)
(3x−2)=5\sqrt{\left(3x-2\right)}=5(3x−2)=5
y(x)ln(y)+xdydx=0y\left(x\right)\ln\left(y\right)+x\frac{dy}{dx}=0y(x)ln(y)+xdxdy=0
dydx=xx\frac{dy}{dx}=\sqrt{\sqrt{\sqrt{\frac{\sqrt{x}}{x}}}}dxdy=xx
limx→6((x + ex8)8x)\lim_{x\to6}\left(\left(x\:+\:e^{\frac{x}{8}}\right)^{\frac{8}{x}}\right)x→6lim((x+e8x)x8)
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