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Find all the points of local maxima and local minima of the function `f(x)=(x-1)^(3)(x+1)^(2)`

A

`x=-1,1` are points of local maxima and `x=-(1)/(5)` is a point of local minima.

B

`x=-1` is point of local maxima and `x=1,-(1)/(5)` are points of local minima.

C

`x=-1` is a point of local maxima and `x=-(1)/(5)` is a point of local minima.

D

`x=1` is a point of local maxima and `x=-(1)/(5)` is a point of local minima.

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