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The value of \(c\) in the Lagrange's mean value theorem for the function \(f(x)=x^3-4 x^2+8 x+11\), when \(x \in[0,1]\) …

Q1

The value of \(c\) in the Lagrange's mean value theorem for the function \(f(x)=x^3-4 x^2+8 x+11\), when \(x \in[0,1]\) is:


[JEE Main 2020, 7 Jan (Shift 2)]

a

\(\frac{4-\sqrt{5}}{3}\)

b

\(\frac{\sqrt{7}-2}{3}\)

c

\(\frac{2}{3}\)

d

\(\frac{4-\sqrt{7}}{3}\)

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