Question

Make a sign diagram for the derivative of the function. Rx) = (x² – 972 F"(x) 2.0 F(x) 220 (x) 20 x) 720 x) 20 0 2010 x = Find all open intervals of increase and decrease. (Enter your answers using interval notation) increase decrease
need help also with the increase and decrease

Answer 1

Given foo= values of a (azaj defined 7. Domain of = f'ca- da (too] for all R. Now calculate Bole = 2(229) Caza) (fom chain = 2639) (22-0) = 26224) cza) fca)=40662a), defined for all aceir Now take flow- o 43 (129)-0 ua(2+3)(2-3)=0 43130, +3=0, 34-3=0 to, q=-3, 1-3. - f co at 0= -30,3. i critical number of f care a=-30,3 Divide domain of f (is (0,0) = R} into 4 subintervals using a-3, 0,3 as spilling ports ove. I t've le t've. Sign of l - -3 . frow is decorating increasing LO Sind

o for Elo fono Answer is tako fo Elo fogo folo fa -3 stö In corecase 163,0), (3;«)], decrease Go -3), (0,3)