$\lim_{x\to5}\left(\frac{\sqrt{x+13}-2\sqrt{x+1}}{x^2-9}\right)$

$\frac{dy}{dx}\left(\sqrt{y+3}tan\left(x+y\right)+2\right)$

$\left(7\right)^{-8}\left(7\right)^3$

$\left(x^9+8y^{12}\right)$

$\frac{d}{dx}4\sqrt[5]{6x^4}$

$\lim_{x\to\infty}\left(\frac{2x^3+3x+1}{5x^4-8x^2-3}\right)$

$\int\left(x\left(5+x^2\right)^{10}\right)dx$