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Let the function f(x) be defined as foll...

Let the function f(x) be defined as follows:f(x)= x^3 +x^2 −10x,−1≤x<0 cosx,0≤x< 2 π ​ 1+sinx 2 π ​≤x≤π ​ , then which of the following statement(s) is/are correct

A

a local minimum at x=`pi//2`

B

a global maximum at x=`pi//2`

C

a absolute maximum at x=-1

D

a absolute maximum at x=`pi`

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