How do you find the derivative of (8)/(4-x^2)?

Quotient rule:

My teacher says"Lo D-high minus high d-low over low squared". It's a catchy phrase to memorize.

So! Low D-High= (4-x^2) *0, which is 0.

High D-low = 8 * (-2x)

So you have

-(-16x)/(4-x^2)^2

= 16x/(4-x^2)^2

use quotient rule

derivative = (denominator x derivative of numerator - numerator x derivative of denominator) / denominator squared

https://www.derivative-calculator.net/

I normally try to explain things step by step, but I am not sure how I would explain the chain rule.

This calculator shows you step by step and explains each step if you mouse over it.

The final answer is

16x/(x^2-4)^2