Findthe stationary points of the following functions andclassifythe stationary points as maximum, minimum or neither. Astationary pointof adifferentiable functionof one variable is a point on thegraphof the function where the function'sderivativeis zero.Informally, it is a point where the function "stops" increasing or decreasing (hence the name).

1) y = -x2+ x + 1

2) y = -x3+ 3x

3. A firm's short-run production function is given by

Q = 30L2-0.5L3

Find the value of L which maximizes APLand verify that MPL=APLat this point.