Mathematics - Continuity - Differentiability Question with Solution | TestHub

If $\mathrm{f}(\mathrm{x})$ is twice differentiable function such that $\mathrm{f}(1)=0,\mathrm{f}(3)=2,\mathrm{f}(4)=-5,\mathrm{f}(6)=2$, $\mathrm{f}(9)=0$ then the minimum number of zero's of ${\mathrm{g}}^{\prime }(\mathrm{x})={\mathrm{x}}^2{\mathrm{f}}^{\prime \prime }(\mathrm{x})+2{\mathrm{xf}}^{\prime }(\mathrm{x})+{\mathrm{f}}^{\prime \prime }(\mathrm{x})$ in the interval $(1,9)$ is