Derivative of

Question

12/(x^2 - 4x)?

Answer 1

The function f(x) = 12/(x² - 4x)

y = 12(x² - 4x)^-1

Differentiating on each side with respect to x.

Apply the formula  d/dx(xⁿ) = nx^n-1

y' = - 12 (x² - 4x)^-1-1 d/dx(x² - 4x)

y' = - 12 (x² - 4x)^-2 (2x - 4)

y' = - 12(2x - 4) /(x² - 4x)²

y' = (- 24x + 48) /(x² - 4x)².