If the above graph is the graph of f′(x) , then f(x)has a local maximum at x= and a local minimum at x=

Question

Answer 1

At local maximum or local minimum f ' (x) = 0

At x = -2 f '(x) =0 and it's value changes from positive to negative, that is mean we have local maximum.

At x= 1 f '(x) =0 and it's value changes from negative to positive, that is mean we have local minimum.