Need explanation on solution

[kahheng]

Hey guys, I'm new here,so i didn't know if this question should be here or Calculus category, sorry if i posted wrong...
i could ask help from my lecturer but his consultation hour always crash with my other class and i needed a quick help so i can continue my tutorial





I can understand all part, except for how the highlighted part 1 turn into highlighted part 2... really appreciate it if someone can lend a hand here, thanks!

 

[MarkFL]

The right side was differentiated using the quotient rule:

\(\displaystyle \displaystyle \frac{d}{dx}\left(\frac{\ln\left(3x^2+5 \right)}{x} \right)= \frac{x\dfrac{6x}{3x^2+5}-(1)\ln\left(3x^2+5 \right)}{x^2}= \frac{6x^2-\left(3x^2+5 \right)\ln\left(3x^2+5 \right)}{x^2\left(3x^2+5 \right)}\)

 

[kahheng]

ahh quotient rule, totally forgot about tht... thanks !