Số gia của hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaabm % aabaGaamiEaaGaayjkaiaawMcaaiabg2da9iaadIhadaahaaWcbeqa % aiaaiodaaaaaaa!3C51! f\left( x \right) = {x^3}\) ứng với \(x_0 = 2\) và \(\Delta x=1\) bằng bao nhiêu?
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Lời giải:
Báo saiTa có \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaam % yEaiabg2da9iaadAgadaqadaqaaiaadIhadaWgaaWcbaGaaGimaaqa % baGccqGHRaWkcqqHuoarcaWG4baacaGLOaGaayzkaaGaeyOeI0Iaam % OzamaabmaabaGaamiEamaaBaaaleaacaaIWaaabeaaaOGaayjkaiaa % wMcaaiabg2da9maabmaabaGaamiEamaaBaaaleaacaaIWaaabeaaki % abgUcaRiabfs5aejaadIhaaiaawIcacaGLPaaadaahaaWcbeqaaiaa % iodaaaGccqGHsislcaaIYaWaaWbaaSqabeaacaaIZaaaaOGaeyypa0 % JaamiEamaaBaaaleaacaaIWaaabeaakmaaCaaaleqabaGaaG4maaaa % kiabgUcaRmaabmaabaGaeuiLdqKaamiEaaGaayjkaiaawMcaamaaCa % aaleqabaGaaG4maaaakiabgUcaRiaaiodacaWG4bWaaSbaaSqaaiaa % icdaaeqaaOGaeuiLdqKaamiEamaabmaabaGaamiEamaaBaaaleaaca % aIWaaabeaakiabgUcaRiabfs5aejaadIhaaiaawIcacaGLPaaacqGH % sislcaaI4aaaaa!69A6! \Delta y = f\left( {{x_0} + \Delta x} \right) - f\left( {{x_0}} \right) = {\left( {{x_0} + \Delta x} \right)^3} - {2^3} = {x_0}^3 + {\left( {\Delta x} \right)^3} + 3{x_0}\Delta x\left( {{x_0} + \Delta x} \right) - 8\).
Với \(x_0 =2\) và \(\Delta x =1\) thì \(\Delta y = 19\).