Hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacaWG5bGaaeiiaiabg2da98aadaWcaaqaaiaadIhaaeaacaWG4bWa % aWbaaSqabeaacaaIYaaaaOGaey4kaSIaaGymaaaaaaa!3D64! y{\rm{ }} = \frac{x}{{{x^2} + 1}}\). Có vi phân là:
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Lời giải:
Báo sai\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaeizaiaabM % hacqGH9aqpdaqadaqaamaalaaabaGaamiEaaqaaiaadIhadaahaaWc % beqaaiaaikdaaaGccqGHRaWkcaaIXaaaaaGaayjkaiaawMcaamaaCa % aaleqabaGccWaGGBOmGikaaiaabsgacaqG4bGaeyypa0ZaaSaaaeaa % caWG4bWaaWbaaSqabeaacaaIYaaaaOGaey4kaSIaaGymaiabgkHiTi % aaikdacaWG4bWaaWbaaSqabeaacaaIYaaaaaGcbaGaaiikaiaadIha % daahaaWcbeqaaiaaikdaaaGccqGHRaWkcaaIXaGaaiykamaaCaaale % qabaGaaGOmaaaaaaGccqGH9aqpdaWcaaqaaiaaigdacqGHsislcaWG % 4bWaaWbaaSqabeaacaaIYaaaaaGcbaGaaiikaiaadIhadaahaaWcbe % qaaiaaikdaaaGccqGHRaWkcaaIXaGaaiykamaaCaaaleqabaGaaGOm % aaaaaaGccaWGKbGaamiEaaaa!5E83! {\rm{dy}} = {\left( {\frac{x}{{{x^2} + 1}}} \right)^\prime }{\rm{dx}} = \frac{{{x^2} + 1 - 2{x^2}}}{{{{({x^2} + 1)}^2}}} = \frac{{1 - {x^2}}}{{{{({x^2} + 1)}^2}}}dx\)