$\left(\frac{1}{4}m^2+\frac{1}{3}n^2\right)^2$

$x^2\:\frac{dw}{dx}=\sqrt{w}\left(7x+1\right)$

$\left(\frac{3}{8}\right)x^{\frac{2}{3}}\left(\frac{3}{5}\right)x^{\frac{5}{8}}$

$\frac{d}{dx}\left(2y-x=\frac{y^3+4xy+25}{x^2+2y}\right)$

$\left(4t+1\right)\left(3t+2\right)$

$5x+5>20$

$\frac{d}{dx}\left(9x^4+xy^3=10\right)$