Mathematics - Application of Derivative Question with Solution | TestHub

${\mathrm{f}}^1(\mathrm{x})=\frac{5\mathrm{x}-2}{3{\mathrm{x}}^{1/3}}$ Let $\mathrm{x}<0,{\mathrm{f}}^1(\mathrm{x})>0$ and for $\mathrm{x}>0,{\mathrm{f}}^1(\mathrm{x})<0\Rightarrow \mathrm{f}$ has maximum at $\mathrm{x}=0$ $x<\frac{2}{5},f^1(x)<0$ and $x>\frac{2}{5},f^1(x)>0\Rightarrow f$ has minimum at $X=\frac{2}{5}$