Question

Differentiate 3x-5/x²-4x​

Answer 1

I assume you mean (3x - 5)/(x² - 4x).

Using the quotient rule, the derivative would be

((x² - 4x) • 3 - (3x - 5) • (2x - 4)) / (x² - 4x)²

= (3x² - 12x - 6x² + 22x - 20) / (x² - 4x)²

= - (3x² - 10x + 20) / (x² - 4x)²