$2.5+2.7-2.4$

$\frac{dy}{dx}=\frac{\left(x-1\right)\cdot\left(y+3\right)}{\left(x+4\right)\cdot\left(y-2\right)}$

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

$\frac{\sin^2\left(x\right)-\cos^2\left(x\right)}{\sin^4\left(x\right)-\cos^4\left(x\right)}=\cos\left(x\right)$

$y^2yx^3$

$\int5x^4\left(x^5+4\right)^2dx$

$\lim_{x\to0}\left(\frac{\ln\left(x+2\right)}{\sqrt{x}}\right)$