Question

The value of c in the Lagrange'* mean value theorem for the function f(x) = x3 – 4x2 + 8x + 11, when x ∈ [0, 1] is :

(1) 2/3

(2) (√7-2)/3

(3) (4 - √5)/3

(4) (4 - √7)/3

Answer 1

Answer is (4)

f(0) = 11

f(1) = 16