The maximum value of the function f(x) = x³ − 3x on the interval [0, 2] is: A. 2 B. 0 C. 1 D. −2 Answer: A) 2 Explanation: f'(x) = 3x² − 3 = 3(x − 1)(x + 1). Critical points in [0, 2]: x = 1. f(0) = 0, f(1) = −2, f(2) = 8 − 6 = 2. Maximum is 2 at x = 2.

imo class 12 application of derivatives

The maximum value of the function f(x) = x³ − 3x on the interval [0, 2] is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The maximum value of the function f(x) = x³ − 3x on the interval [0, 2] is:

Answer: A) 2

Explanation: f'(x) = 3x² − 3 = 3(x − 1)(x + 1). Critical points in [0, 2]: x = 1. f(0) = 0, f(1) = −2, f(2) = 8 − 6 = 2. Maximum is 2 at x = 2.