Cho hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyEaiabg2 % da9maalaaabaGaamiEamaaCaaaleqabaGaaGOmaaaakiabgUcaRiaa % dIhacqGHRaWkcaaIXaaabaGaamiEaiabgkHiTiaaigdaaaaaaa!4019! y = \frac{{{x^2} + x + 1}}{{x - 1}}\). Vi phân của hàm số là:
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Lời giải:
Báo sai\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaeizaiaadM % hacqGH9aqpdaqadaqaamaalaaabaGaamiEamaaCaaaleqabaGaaGOm % aaaakiabgUcaRiaadIhacqGHRaWkcaaIXaaabaGaamiEaiabgkHiTi % aaigdaaaaacaGLOaGaayzkaaWaaWbaaSqabeaakiadacUHYaIOaaGa % aeizaiaadIhaaaa!478C! {\rm{d}}y = {\left( {\frac{{{x^2} + x + 1}}{{x - 1}}} \right)^\prime }{\rm{d}}x\) \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyypa0ZaaS % aaaeaadaqadaqaaiaaikdacaWG4bGaey4kaSIaaGymaaGaayjkaiaa % wMcaamaabmaabaGaamiEaiabgkHiTiaaigdaaiaawIcacaGLPaaacq % GHsisldaqadaqaaiaadIhadaahaaWcbeqaaiaaikdaaaGccqGHRaWk % caWG4bGaey4kaSIaaGymaaGaayjkaiaawMcaaaqaamaabmaabaGaam % iEaiabgkHiTiaaigdaaiaawIcacaGLPaaadaahaaWcbeqaaiaaikda % aaaaaOGaaeizaiaadIhaaaa!4EFE! = \frac{{\left( {2x + 1} \right)\left( {x - 1} \right) - \left( {{x^2} + x + 1} \right)}}{{{{\left( {x - 1} \right)}^2}}}{\rm{d}}x\) \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyypa0ZaaS % aaaeaacaWG4bWaaWbaaSqabeaacaaIYaaaaOGaeyOeI0IaaGOmaiaa % dIhacqGHsislcaaIYaaabaWaaeWaaeaacaWG4bGaeyOeI0IaaGymaa % GaayjkaiaawMcaamaaCaaaleqabaGaaGOmaaaaaaGccaqGKbGaamiE % aaaa!444E! = \frac{{{x^2} - 2x - 2}}{{{{\left( {x - 1} \right)}^2}}}{\rm{d}}x\)