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Two problems - .J d 5 x-£CXJ'r 0<"2-=L_L-y 3-3:x...

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Unformatted text preview: - ---- . _ __. -.J d 5 - x _-#--£CXJ 'r 0 < ";2. -=L--. -.--------------.------. _____________+____L--y 3 -3:x _____________._._____ . --.---- -----....---.-.-..- -----. ----.--. ________\:_-- _ _____ X ?/0 0) G I·Ve. ____.......----i.n t v 6.\ ch h) L d oe.s . ____. _ . _. . __ . . . . . ._ _ ___ ________ _________ ___._ __._______ 5 -£' [CL') J) N h '±be.. e ", i s+- and. 2. Given: 3 ,x f (x) = 0 .J25 - X 2 ,0 < X < 4 <X <6 1 -4(x _3_3_x , x>6 2x 7 a) Give t he t hree g eneral s ituations i n w hich f (a) DNE. (3 p oints) i) X==- <A d.) \S 0 ... cl\ 5 e..e-YY·\-\ vw.A,tA1 .f"(X) ::f= ) (--?'O-- -t"rxJJ 0.. C o".-r\eA' 'oW- +I(a) \5 n&t, V.I. or- 3) +(0..) is l!- b) I n t he above function, w here does t he d erivative n ot e xist a nd why? (8 p oints) • - f'(O) ' DNE s iflu O ;t X =o %e/I....L P is 0... • f '(!.() T INE 0 .. , s·Jnc.a... '+he..u.. is c:£..vJ C,.&--YI-h f \ 1 \ O'Y\ ( - dX +'(X) - c d 7<= L\ j - 'X_ X <O • + '(5) +- ) } (X=/:: 5 ) \5 ) J )N.[" (5) i s d e-hMd M -f'(S) i s - Cl. Y. - 1. F ind t he second d erivative for d erivative a nd y our simplified you n eed to SHOW how. (9 2 x 2 - 3xy _ 2- 1 . {; y - . ClI'Cle y our a nswer for t he fIrst o r t he second derivative. HINT: I t g ets s imple a nd ...
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