If f(x) = x³ − 3x, then the value of c in (0, 2) where tangent is parallel to chord joining (0, f(0)) and (2, f(2)) is: A. 2/√3 B. √3 C. 1/√3 D. √(4/3) Answer: A) 2/√3 Explanation: f(0)=0, f(2)=8−6=2. Slope = (2−0)/(2−0)=1. f′(x) = 3x² − 3 = 1 → 3x² = 4 → x² = 4/3 → x = 2/√3 (in (0,2)).

imo class 12 continuity and differentiability

If f(x) = x³ − 3x, then the value of c in (0, 2) where tangent is parallel to chord joining (0, f(0)) and (2, f(2)) is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If f(x) = x³ − 3x, then the value of c in (0, 2) where tangent is parallel to chord joining (0, f(0)) and (2, f(2)) is:

Answer: A) 2/√3

Explanation: f(0)=0, f(2)=8−6=2. Slope = (2−0)/(2−0)=1. f′(x) = 3x² − 3 = 1 → 3x² = 4 → x² = 4/3 → x = 2/√3 (in (0,2)).