Plz help x -3 0 3 4

f(x) 5 -1 2 7

f'(x) -2 4 0 1

The table above gives values of a twice-differentiable function f and its first derivative f′ for selected values of x . Let g be the function defined by g(x)=f(2x−x2) .

(a) What is the value of g′(−1) ?

(b) It is known that g′′(0)=0. What is the value of f′′(0) ?

(c) Is there a value c, for 0
(d) Let h be the function with first derivative given by h′(x)=4xex. At what value of x in the interval 0≤x≤4 does the instantaneous rate of change of h equal the average rate of change of f over the interval 0≤x≤4 ?