Answer
See table and explanations.
Work Step by Step
See table.
(i) Point $P:$ $f'\lt0$ because of the negative tangent line slope, $f''\gt0$ because of concave up.
(ii) Point $Q:$ $f'\gt0$ because of the positive tangent line slope, $f''=0$ because of inflection point.
(iii) Point $R:$ $f'\gt0$ because of the positive tangent line slope, $f''\lt0$ because of concave down.
(iv) Point $S:$ $f'=0$ because of the maximum at the point, $f''\lt0$ because of concave down.
(v) Point $T:$ $f'\lt0$ because of the negative tangent line slope, $f''\lt0$ because of concave down.
