Question

please answer all questions in picture. 1-7. i need help to understand this for final. IF YOU ARE UNABLE TO ANSWER ALL 7 questions please do not respond. I will downvote accordingly if the answer to the post is incomplete. thank you so very much.

Tnun t iu the znd denvatvt test on each cnhes # to datemnine. If Ituladoto a local maxim minimum. f(x)=一2x3-3x2 ti2x+1 ๒ Findthe largist open in trvale, on union metinctim 6 Concave upnard or concave duunward, and ind location bf any pints of Inflection fび): DX3t3x. 4xt3 tor tufunction flx)-X_.hndf00汁nenfind flo) and f"(4) "L4) 5) uxthe fivet danvaivest to datrmine thu ouation Of each loal oxtremum e thavalve oetne functhion nt this (0) Delermine to uwa hon of eatch ioal extremum oF Aiso for flX): l% 4//2卉yXtII eemine tve loaton of eacn toal extremum o me loal minima /maxima

please only solve first 4

Answer 1

1o fr caitical ponts 나_ney = o Loccu minimum At n3 is Local maxin

is con cava u when 18 6 3 3 foints.of-inflection-aho giuen b니 21 l8 3

On 4+m dn 2x( 녀tm )-IX (0.ti ) dn) again cstin ャu) ~ t 1

2. 4tn 2 61 32-32 343 (u+3)3 12s t1 e, --/-again ft (37-3e2 = 3e3