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TALLATICAL ASSULTATION OF AMERICA webwork / math131spring2020 / 712 7: Problem 2 Previous Problem Problem List Next Problem (1 point) Find constants a and b in the function f(x) = such that f() = 1 and the function has a local minimum at <= Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructor

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thix) Griver, P(x) = axb such that I (X) = 1 and fla) has local wirinun at x = Vo we lake tex = axb o tha Given, P (I) = 1 Plu) at Xbo = 1 ax(+3) b =1, ax = 1/36 = lnf's) Durgh or wiretxe tw- alwax bxabi_ xbxh ] Halog 2 f'(x) = a[bln (W x abr 1 - abr 1] Elheres 2 t'c) = axb-1 [blula) - 1] (1x) 2 If i giver that meas has local minime at x = ls » slope of targent at (x= 1) = 0 Because targent at x al es parallel tox-axis) =xtr) af atzo, =) (15)=0 www.pumcncurynnom wwwcowy Contact Us - 011-41350505, 89668.89668

from ano, we get t() = a (tj 6-1 [bents)-1] o (unles)) (gt P = 0 and 970 p=0) ax Ejbl [b ln (s)-1] = 0 > a=0 I elb-1=0 l bdn46)-1=0 Not possible that I benlys) = 1 because it azol then t' (x)=0 L Ej bul>o always loinci How put value of b in our I hot possible Wink) to the → 4 th test blas) 9 = lnly) ja = ln (45) 15 g this a = ln (Is) (5 bols b= theks) Arywer RACHUS A4 www.pahaldesign.com, www.archedgeindia.com