+1 vote
in JEE by kratos

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

1 Answer

+5 votes
by kratos
 
Best answer

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

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