$\left(\frac{1}{4}x+y^2\right)^5$

$24x^6+8^4-4x^3y$

$\lim_{x\to\left(-\frac{\pi}{2}\right)}\left(\frac{2x\sec\left(x\right)+\pi\sec\left(x\right)}{2}\right)$

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

$\left(x+\sqrt[2]{x^2+1}\right)^4$

$\frac{3}{4}\left(-12x+4\right)+\frac{1}{2}\:\left(6x\:+\:8\right)$

$\left(ln\left(y\right)\right)^5\:\frac{dy}{dt}=t^5y$