Let f(x) = x3 – 4x2 + 8x + 11, if LMVT is applicable on f(x) in [0, 1], value of c is :
(1) (4 - √7)/3
(2) (4 - √5)/3
(3) (4 + √7)/3
(4) (4 + √5)/3
Answer is (1) (4 - √7)/3
f(x) is a polynomial function
∴ it is continuous and differentiable in [0, 1]
Here f(0) = 11, f(1) = 1 – 4 + 8 + 11 = 16