if-x-R-prove-that-x-6-x-1-gt-0- Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 151475 by mathdanisur last updated on 21/Aug/21 ifx∈Rprovethat:x6−x+1>0 Answered by dumitrel last updated on 21/Aug/21 I.ifx⩽0⇏−x⩾0;x6+1>0⇒x6−x+1>0II.ifx>0⇒x6+1=x6+15+15+15+15+15⩾am−gm⩾6x556>6x5>x⇒x6−x+1>0 Commented by mathdanisur last updated on 21/Aug/21 NiceSer,ThankYou Answered by MJS_new last updated on 21/Aug/21 f(x)=x6−x+1f′(x)=6x5−1f″(x)=30x4f′(x)=0⇒x=161/5;f(161/5)≈.4>0f″(x)>0∀x∈R⇒⇒absoluteminimum>0 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-85935Next Next post: 0-pi-4-tan-ln-1-tan-d- Leave a Reply Cancel replyYour email address will not be published.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.