$\frac{d}{dx}\left(\frac{\left(x\sqrt{x^5+6}\right)}{\left(x+8\right)^{\frac{2}{3}}}\right)$

$-6-\left(-27\right)+12$

$\lim_{x\to0}\left(e^{\frac{1}{x}}\cdot\sin\left(x\right)\right)$

$\lim_{x\to0}\left(\frac{sin\left(4x^2+2x^3\right)}{\arctan\left(x+x^3\right)}\right)$

$\lim_{x\to1}\left(\frac{2-\left(e^x-e^{-x}\right)\cdot cos\left(x\right)}{x^4}\right)$

$-2x^2-5+-8x^2-4y+7-\left(9x^2+6y-3\right)$

$3x^2\:+\:4y\:-\:2x^2\:-x^2$