$\frac{d}{dx}\frac{x^6lnx}{x+1}$

$\lim_{x\to0}\left(\frac{cos\left(4x\right)-1}{sin\left(7x\right)}\right)$

$-220+250-200-330+170+140-170$

$2x^2-5x+38\ge\left(x+4\right)\cdot\left(x+2\right)$

$\lim_{x\to3}\left(\frac{\left(x^2-9\right)}{2x+x^2-3}\right)$

$\int3ye^{11x}dx$

$\frac{d}{dx}3x^4y^2+3x^2=xy+3$