$\frac{dy}{dx}=-\frac{3x^2}{e^{2y}}$

$\lim_{x\to0}\left(\frac{1-e^x}{\ln\left(x+1\right)}\right)$

$-10\le-1-w$

$\lim_{x\to\infty}\frac{\left(-8\right)^x}{3^x}$

$\lim_{x\to0}\left(x+2^{\frac{x}{4}}\right)^{\frac{4}{x}}$

$\frac{dy}{dx}=\frac{8x^7}{\ln\left(y\right)}$

$\frac{16x^3+12x^2-24x+14}{4x+1}$