$\lim_{x\to0}\left(\sqrt{5+x}-\sqrt{5}\right)$

$\left(\frac{y^3}{2}+\frac{1}{3}\right)^2$

$\frac{4}{x+1}=\frac{12}{x+5}$

$4-10r-10r$

$\frac{dy}{dx}x^{\left(7tanx\right)}$

$\int\left(\sec\left(6x\right)-\tan\left(6x\right)\right)^2dx$

$\frac{dy}{dx}\left(2x^2-3\right)^{\ln\left(2x\right)}$