Question

How do you find the derivative of `(ln(x^2))/x^2`?

Answer 1

`2 * frac{1 - ln x^2}{x^3}`

Explanation:

`D_x ln(x^2)/x^2 = frac{x^2 D_x ln x^2 - ln x^2 D_x x^2}{x^4}`

`= frac{x^2 1/x^2 D_x x^2 - 2x ln x^2}{x^4}`

`= frac{2x - 2x ln x^2}{x^4}`