Cho hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyEaiabg2 % da9maalaaabaGaaGymaaqaaiaaiodacaWG4bWaaWbaaSqabeaacaaI % Zaaaaaaaaaa!3B67! y = \frac{1}{{3{x^3}}}\). Vi phân của hàm số là:
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Lời giải:
Báo sai\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaeizaiaadM % hacqGH9aqpdaqadaqaamaalaaabaGaaGymaaqaaiaaiodacaWG4bWa % aWbaaSqabeaacaaIZaaaaaaaaOGaayjkaiaawMcaamaaCaaaleqaba % GccWaGGBOmGikaaiaabsgacaWG4bGaeyypa0ZaaSaaaeaacaaIXaaa % baGaaG4maaaacaGGUaWaaSaaaeaacaaIZaGaamiEamaaCaaaleqaba % GaaGOmaaaaaOqaamaabmaabaGaamiEamaaCaaaleqabaGaaG4maaaa % aOGaayjkaiaawMcaamaaCaaaleqabaGaaGOmaaaaaaGccqGH9aqpcq % GHsisldaWcaaqaaiaaigdaaeaacaWG4bWaaWbaaSqabeaacaaI0aaa % aaaakiaabsgacaWG4baaaa!53E2! {\rm{d}}y = {\left( {\frac{1}{{3{x^3}}}} \right)^\prime }{\rm{d}}x = \frac{1}{3}.\frac{{3{x^2}}}{{{{\left( {{x^3}} \right)}^2}}} = - \frac{1}{{{x^4}}}{\rm{d}}x\)