Question

I need a detailed answer please

2) (11 points) The below figure shows the graph of derivative function f '(x) of a function f(x). The domain of f(x) and f(x) are (-0,0). Use the figure to answer the following questions मिनि a) Find all critical numbers of f(x). b) Find the open intervals on which the function f(x) is increasing. f(x) is increasing on c) Find the open intervals on which the function f(x) is concave up. f(x) is concave up on d) Find all local maximum and local minimum value(s) of function f(x). The local maximum value of f(x) is The local minimum value of f(x) is

Answer 1

of" 171) 7x 7 6. 2 4 o Dat are those as critical no ne values wlore f'CH)=0 a critical numbers of fou are at x=1,4,7 fan increasing if tul> 12 0 feus incrcreasing on/ (1,4) U (4,7) ( tans is concoure up for tl(a)70 le fine increasi tem is concure upen a (-0,2) U(4,6) d) sisu of + 7 thi local maxima at u=7 Local minima at a=1 The local maximum vahe of foal = f(7) the local Minimum value of flui= f (1)