EXERCISE . ( ) (i) concave upwards on −∞ , and , ∞ ) . Concave downwards on Points of inflection , − ) and (ii) concave upwards on . Concave downwards on , π and Points of inflection π , and π , (iii) concave upwards on , ∞ ) .
Concave downward on −∞ , Points of inflection ( ) (i)local minimum = − ; local maximum = (ii)local minimum = − (iii)local minimum = ; local maximum = e ( ) strictly increasing on −∞− , and , ∞ . strictly increasing on − local maximum = , local minimum = − concave downwards on −∞− ; concave upwards on − ∞ , point of inflection − - -