$\lim_{x\to\infty}\left(\left(1+\frac{1}{3x}\right)^{4x}\right)$

$-25x^2y^5+125xy-625x^5y^3$

$\frac{x^2}{27x^3+1}$

$\frac{d}{dx}\left(\frac{x^3.\sqrt{x^2-2}}{\left(-8x+3\right)^5}\right)$

$deriv\:y=\left(x^5+2\right)^2\left(x^3+4\right)^4$

$\lim_{x\to0}\left(x^{14x}\right)$

$y^2+xy+y'=0$