$\frac{dy}{dx}=\frac{4}{3}$

$144\times4^4-81a^4b^2$

$x^2-\sqrt{5}x+1=0$

$\int_1^3\left(\frac{e\frac{3}{x}}{x^2}\right)dx$

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

$\left(y^2+16\right)\frac{dy}{dx}=\left(x^2+25\right)$

$\frac{cos^2x}{\left(1-sinx\right)^2}=\frac{1+sinx}{1-sinx}$