Let f be a differentiable function and f(I) *1: [l for all real numbers I. Function g is another real-valued function whose rst derivative is known to he 91(I) = (I2 Q)f(I) . 1Which of the following statements is true? 0 9 possesses two local minima located at I = 3 and I = 3. O 9 possesses two local maxima located at I = 3 and I = 3. O 9 possesses one local minimum at I = 3 and one local maximum at I = 3. O 9 possesses one local maximum at I = 3 and one local minimum at I = 3. O The given data are insufficient to determine the local extrema of g. Let f(.1:) = 353 32 + 53: + 3 be dened on the entire real line. Which of the following statements is true? 0 f has exactly one critical point located at I. = 1. O f has one local minimum at I = 1 and another local minimum elsewhere. 0 f has one local minimum at :1? = 1 and a local maximum elsewhere. 0 f has one local maximum at I = 1 and another local maximum elsewhere. O f has one local maximum at I = 1 and a local minimum elsewhere