$4x^2+4x=0\:\:$

$2.028\cdot0.5$

$3y^2y'=2x=1$

$\frac{48}{x^2}-\frac{18}{x}$

$\lim_{x\to0}\left(1+x\right)^{\cos\left(x\right)}$

$\frac{dy}{dx}lny=ln\left(\frac{\left(x+9\right)^{\frac{1}{2}}}{\left(x-3\right)}\right)$

$\sin\left(\frac{\pi}{6}+x\right)+\sin\left(\frac{\pi}{6}-x\right)=\cos\left(x\right)$