The function f(x) = x³ − 6x² + 12x − 8 is increasing on the interval: A. R B. (−∞, 2) only C. (2, ∞) only D. nowhere Answer: A) R Explanation: f'(x) = 3x² − 12x + 12 = 3(x² − 4x + 4) = 3(x − 2)² ≥ 0 for all x. So f is increasing on R.

imo class 12 application of derivatives

The function f(x) = x³ − 6x² + 12x − 8 is increasing on the interval:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The function f(x) = x³ − 6x² + 12x − 8 is increasing on the interval:

Answer: A) R

Explanation: f'(x) = 3x² − 12x + 12 = 3(x² − 4x + 4) = 3(x − 2)² ≥ 0 for all x. So f is increasing on R.