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	Science Forum Forum Index » Mathematics » Simple differentiability help  Simple differentiability help « View previous topic :: View next topic »  Author Message Ironmaiden Posted: Fri Jul 04, 2008 5:00 am    Post subject: Simple differentiability help Forum Freshman Joined: 30 Jun 2008 Posts: 9 For Differentiability, the condition is: lim h->0 (f(x-h)-f(x))/(-h) = lim h->0 (f(x+h)-f(x))/(h) Since in both the cases, h -> 0, so isn't it that f(x-h) - f(x) and also f(x+h) - f(x) will always be = 0? If no, please explain including an example. Thanks Back to top thyristor Posted: Sat Jul 05, 2008 3:03 am    Post subject: Forum Sophomore Joined: 11 Feb 2008 Posts: 190 Location: Sweden What you do is that you investigate what happens when h approaches 0 not when it is zero. For example: lim h->0 (f(x+h)-f(x))/h , where f(x)=x2 , equals lim h->0 (x2+2xh+h2-x2)/h equals lim h->0 h+2x=2x _________________ 373 13231-mbm-13231 373 Back to top Ironmaiden Posted: Sat Jul 05, 2008 3:39 am    Post subject: Forum Freshman Joined: 30 Jun 2008 Posts: 9 thanks 4 the reply. Back to top Display posts from previous: All Posts1 Day7 Days2 Weeks1 Month3 Months6 Months1 Year Oldest FirstNewest First     Page 1 of 1 Science Forum Forum Index » Mathematics » Simple differentiability help Jump to: Select a forum Natural Sciences----------------Astronomy & CosmologyBiologyChemistryEarth SciencesMathematicsPhysics People----------------Behavioral & Social SciencesHealth & MedicinePhilosophical DiscussionHistoryReligionPoliticsCriminology and Forensic Science General Technology----------------Computer ScienceElectronicsMilitary Technology Information Technology----------------Business & EconomicsEducationEngineering & Transportation International Issues----------------Environmental IssuesIn the News The Science Forum----------------General DiscussionIntroductionsScience-Fiction and Non-FictionExperimentationPseudoscienceLinksArt and Culture Site Administration----------------Site FeedbackTrash Can  You cannot post new topics in this forum You cannot reply to topics in this forum You cannot edit your posts in this forum You cannot delete your posts in this forum You cannot vote in polls in this forum
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