Find the derivative $\frac{d}{dx}\left(2\ln\left(\frac{4}{x}\right)+e^{3x^2}+4\left(\frac{x^2-1}{x^2+2}\right)\right)$ using the sum rule

Find the derivative

$\frac{d}{dx}\left(\frac{2x^3}{\left(2-5x\right)\sqrt{x^2+1}}\right)$

$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$

Find the derivative

$\frac{d}{dx}\left(\frac{x^2-1}{\left(x+1\right)^2}\right)$

Find the derivative

$\frac{d}{dt}\left(\frac{\sqrt{t-4}}{tcos\left(t\right)}\right)$

$\frac{d}{dx}\ln\left(x^2+1\right)$

Find the derivative

$\frac{d}{dx}\left(\frac{\left(x^5+3x\right)^4}{cos\:x}\right)$

Find the derivative

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