$\frac{dy}{dx}=\frac{7x^6y}{ln\:y}$

$3x^5-2x^4+2x^2+4-1$

$\left(3a^3-4ab^2+2b^3\right)^2$

$\left(x^2+6x+9\right)\frac{dy}{dx}=\frac{sec^3y}{x-3}$

$\int\left(e^x\right)\sqrt{\pi+e^x}dx$

$\frac{cos^2x+4cosx+4}{cosx+2}$

$\left(\frac{\left(x^2+1\right)}{x^2+2}\right)^{\left(\frac{1}{9}\right)}=y$