$\frac{d}{dx}\left(\frac{5x}{x-1}\right)$

$b^2-2b+1$

$5a+5b$

$\frac{\cos\left(x\right)}{\cot\left(x\right)}+\frac{\sin\left(x\right)}{\tan\left(x\right)}$

$\lim_{x\to0}\frac{\cos\:\left(\tan\:\left(x\right)\right)-cos\left(x^4\right)}{x^4}$

$\left(x^3+8x^2+13x+6\right)$

$\left(1+\cos\left(x\right)\right)dy=y\sin\left(x\right)dx$