- (Solutions based entirely on graphical or numerical methods are not acceptable.)
Given
$$\mathrm { f } ( x ) = 2 x ^ { \frac { 5 } { 2 } } - 40 x + 8 \quad x > 0$$
- solve the equation \(\mathrm { f } ^ { \prime } ( x ) = 0\)
- solve the equation \(\mathrm { f } ^ { \prime \prime } ( x ) = 5\)