$\lim_{x\to0}\left(\frac{cos\left(x\right)ln\left(1+x\right)}{sin\left(x\right)}\right)$

$\lim_{t\to0}\left(-\frac{2\left(\left(t^2-2t+2\right)\:e^t-e^4\:t\right)}{\left(15t^3\:\right)}\right)$

$-\frac{1}{12}x^3-\frac{7}{12}x^3-\frac{7}{12}x^3+\frac{3}{12}x^3$

$\frac{d}{dx}\left(x^x\right)y=x^2\left(x+1\right)\left(x^2+1\right)$

$150-\frac{1}{4}x^2$

$5x-3.\left(3-\frac{x}{4}\right)=\frac{7x}{2}-3$