Mathematics - Application of Derivative Question with Solution | TestHub

By mean value theorem, $\mathrm{f}(6)-\mathrm{f}(2)=(6-2){\mathrm{f}}^1(\mathrm{c})$ where $\mathrm{c}\in (2,6)$ $\begin{array}{rlr}& \Rightarrow f(6)=f(2)+4f^1(c)=4+4f^1(1)>4+4(5)& \left(\therefore f^1(x)\ge 5\right)f(6)\ge 24\end{array}$