let-f-x-1-x-2-x-1-find-the-domain-and-f-1-2-if-exist-ceiling-function- Tinku Tara June 4, 2023 None 0 Comments FacebookTweetPin Question Number 86894 by M±th+et£s last updated on 01/Apr/20 letf(x)=1−x2⌈x−1⌉findthedomainandf′(−12)ifexist.⌈…⌉ceilingfunction Commented by mathmax by abdo last updated on 01/Apr/20 if[..]meanintegrpartwehavef(x)=1−x2[x]−1let[x]=p⇒p⩽x<p+1⇒f(x)=1−x2p−1andforp≠1wegetf′(x)=1p−1(−2x)=−2xp−1x=−12⇒[−12]=−1⇒f′(−12)=(−2)×(−12)−2=−12domainoff[x]−1=0⇔[x]=1⇒1⩽x<2⇒Df=R−[1,2[ Commented by M±th+et£s last updated on 01/Apr/20 ⌈…⌉smallestintegerfunction Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: A-small-mass-rest-on-a-horizontal-plat-form-which-vibrates-vertically-in-simple-harmonic-motion-with-period-0-50s-Find-the-maximum-amplitude-of-the-motion-which-allow-which-allow-the-mass-to-remain-Next Next post: Question-152435 Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.
![if [..] mean integr part we have f(x) =((1−x^2 )/([x]−1)) let [x]=p ⇒p≤x<p+1 ⇒f(x)=((1−x^2 )/(p−1)) and for p≠1 we get f^′ (x) =(1/(p−1))(−2x) =((−2x)/(p−1)) x=−(1/2) ⇒[−(1/2)]=−1 ⇒f^′ (−(1/2)) =(((−2)×(−(1/2)))/(−2)) =−(1/2) domain of f [x]−1=0 ⇔[x]=1 ⇒1≤x<2 ⇒D_f =R−[1,2[](https://www.tinkutara.com/question/Q86905.png)
