Cant solve this derivative

Question

Hi, I need help finding this derivative : 

 

y=-(x^2+9) / (x^2-9)^2

Answer 1

y = -(x² + 9) / (x² - 9)²

 

Use the quotient rule.  When you differentiate the denominator, use the power and chain rules.

 

dy/dx = - {(2x)(x² - 9)² - (x² + 9)[2(x² - 9)(2x)]} / (x² - 9)⁴

 

You can simplify it from here.