WBJEE · Maths · Application of Derivatives
A function \(f\) is defined by \(f(x)=2+(x-1)^{2 / 3}\) on \([0,2]\). Which of the following statements is incorrect?
- A \(f\) is not derivable in \((0,2)\)
- B \(f\) is continuous in \([0,2]\)
- C \(f(0)=f(2)\)
- D Rolle's theorem is applicable on \([0,2]\)
Answer & Solution
Correct Answer
(D) Rolle's theorem is applicable on \([0,2]\)
Step-by-step Solution
Detailed explanation
\(f(x)=2+(x-1)^{2 / 3}\) \(f(x)\) is not differentiable at \(x=1\) Hence Rolle's theorem is not applicable on [0, 2]
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