Suppose f(x) has the following properties: \text { - } f^{\prime}(-1)=f^{\prime}(1)=f^{\prime}(4)=0 \text { - } f^{\prime}(x)>0 \text { for all } x<-1 \text {, } \text { - } f^{\prime}(x)<0

\text { for all }-10 \text { for all } x>4 Which of the following is always TRUE? Of has a local maximum at x = 4. Of has a local maximum at x = -1. Of has a local minimum at x = 1. Of has a local maximum at x = 1. Of has a local minimum at x = -1.