\text { Consider the function } g(t)=\frac{t+1}{t^{2}+3} (a) Find g '(t) = ________. (b) Determine the local extrema of g(t). local maximum at t = _______. local minimum at t = _________. (c) Determine the global extrema of g(t) on the interval 0<=t<= 4. global maximum at t = ________. global minimum at t = ___________.

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