$\frac{dy}{dx}\left(y=\sqrt{e^x+6}\right)$

$13x+11-22y+10y+14$

$2\left(1\right)^2.2-\frac{1}{8}\left(1\right)\left(2\right)^2+-2$

$sin\left(x\right)cos^2\left(y\right)dx-cos\left(x\right)sin\left(y\right)dy=0$

$\frac{d^2}{dx^2}\left(4x^3\cdot\cos\left(y-e^{-y}\right)\right)$

$4x^2-108x+81$

$\lim_{x\to0}\left(\frac{x^2-\sqrt{5x^2-4}}{2x^2-3x-2}\right)$