1. The graph of the continuous function the derivative of fis shown above. The graph of has horizontal tangent lines at f^ prime .; x = - 4 and x = - 1 The graph of has a vertical tangent line at f^ prime; x=-3.
(a) Determine the area of the figure between - 5 <= x <= 1 Show all work that leads to your answer
b) Determine the values of x where fhas critical valuesJustify whether those critical values are relative maximums, minimums, or neither.
( c) For -5 ( d) Use L'Hospital's Rule to evaluate lim x -> 1 (3f(x))/(2x - 2) If L'Hospital's Rule cannot be applied, then explain.