Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a non-zero differentiable function such that $f\left(x^2\right)=x f(x)$. Then

• A

  $f^{\prime}(0)=f(0)$
• Correct answer
  B

  $f^{\prime}(1)=f(1)$
• C

  $f^{\prime}(2)=f(2)$
• D

  $f^{\prime}(3)=f(3)$

Hence, the correct answer is option: 'B'.