$\frac{d}{dx}\left(8x^2-\ln\left(y\right)+\sin\left(y\right)=\ln\left(x^2\right)+e^y\right)$

$3.\left(2x^4+3x^2-5x+2\right)-4.\left(-2x^2+4x-3\right)$

$\frac{64x^3-12x^2-6x}{3x}$

$\frac{15a^2b^5-5a^3b^6}{5a^2b^2}$

$\frac{-x^3-4x+3}{x+1}$

$\frac{dy}{dx}=\frac{-x}{y+1}$