Find the derivative: \(\dfrac{d}{dx}\left(\dfrac{6x^2}{\ln x}\right)\)

\(\dfrac{6x(2\ln x - 1)}{(\ln x)^2}\)

Find the derivative: \(\dfrac{d}{dx}\left[x^5(1 - x^6)\right]\)

\(5x^4 - 11x^10\)

Find the derivative: \(\dfrac{d}{dx}\left(\dfrac{5 - 2x}{x^2 + 1}\right)\)

\(\dfrac{2x^2 - 10x - 2}{\left(x^2 + 1\right)^2}\)

Find the derivative: \(\dfrac{d}{dx}\left(\dfrac{x^3 - 4x}{2x^2 + 1}\right)\)

\(\dfrac{\left(3x^2 - 4\right)\left(2x^2 + 1\right) - 4x\left(x^3 - 4x\right)}{\left(2x^2 + 1\right)^2}\)

Find the derivative: \(\dfrac{d}{dx}\left(\dfrac{e^{2x} - 1}{x^3}\right)\)

\(\dfrac{x^3\left(2e^{2x}\right) - 3x^2\left(e^{2x} - 1\right)}{\left(x^3\right)^2}\)

Find the derivative: \(\dfrac{d}{dx}\left(\dfrac{4x - 2}{x^2 - 1}\right)\)

\(\dfrac{-4x^2 + 4x - 4}{\left(x^2 - 1\right)^2}\)

Find the derivative: \(\dfrac{d}{dx}\left[\left(\dfrac{x + 4}{x + 3}\right)(2x + 5)\right]\)

\(\dfrac{2x^2 + 16x + 29}{(x + 3)^2}\)

Find the derivative: \(\dfrac{d}{dx}\left(\dfrac{\cos x}{x}\right)\)

\(\dfrac{-x\sin x - \cos x}{x^2}\)

Find the derivative: \(\dfrac{d}{dx}\left(\dfrac{3 - \dfrac{1}{x}}{x + 5}\right)\)

\(\dfrac{-3x^2 + 2x + 5}{\left(x^2 + 5x\right)^2}\)

Find the derivative: \(\dfrac{d}{dx}\left[x\left(1 - \dfrac{4}{x + 3}\right)\right]\)

\(1 - \dfrac{12}{(x + 3)^2}\)