Compute the centered finite-difference approximation to the first derivative at x = 5. Use finite-difference approximation that is second order. 1 2 3 4 5 6 7 8 9 10 1.4 2.1 3.3 4.8 6.8 6.6 8.6 7.5 8.9 10.9 10 Determine h. h = Determine: x = f(x) = f(x:) = Xi-1 = f(x-1) =

Do the last part

Suppose the derivative of the function y = f(x) is y = x/5 (x +5). Determine the intervals on which f(x) is increasing and decreasing. Decreasing on (-5,0); increasing on (-o, -5) U (0, 0) Decreasing on (-5,0); increasing on (0, o) Decreasing on (-o0, -5) U (0, 0): increasing on (-5, 0) Increasing on (-5, 0) O O

The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be made about f and f' when x = -2. y O 8 7 6 5 4 3 # 2 -10 -9 -8 -7 -6 -5 -4 -3 -2 -N 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 /1 -7 -8 Graph of f' ·X