Mathematics - Functions Question with Solution | TestHub

$\mathrm{f}:[0,1]\to \mathrm{R}$ is a differentiable function such that $\mathrm{f}(0)=0$ and $|\mathrm{f}(\mathrm{x})|\le \mathrm{k}|\mathrm{f}(\mathrm{x})|$ for all x $\in [0,1],(\mathrm{k}>0)$, then which of the following is/are always true ?(A) $\mathrm{f}(\mathrm{x})=0,\forall \mathrm{x}\in \mathrm{R}$