Hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacaWG5bGaeyypa0ZdamaakaaabaGaaGOmaiaadIhacqGHRaWkcaaI % 1aaaleqaaaaa!3B9C! y = \sqrt {2x + 5} \) có đạo hàm cấp hai bằng:
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Lời giải:
Báo sai\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabmyEayaafa % Gaeyypa0ZaaeWaaeaadaGcaaqaaiaaikdacaWG4bGaey4kaSIaaGyn % aaWcbeaaaOGaayjkaiaawMcaamaaCaaaleqabaGccWaGGBOmGikaai % abg2da9maalaaabaGaaGOmaaqaaiaaikdadaGcaaqaaiaaikdacaWG % 4bGaey4kaSIaaGynaaWcbeaaaaGccqGH9aqpdaWcaaqaaiaaigdaae % aadaGcaaqaaiaaikdacaWG4bGaey4kaSIaaGynaaWcbeaaaaaaaa!4B7E! y' = {\left( {\sqrt {2x + 5} } \right)^\prime } = \frac{2}{{2\sqrt {2x + 5} }} = \frac{1}{{\sqrt {2x + 5} }}\)
\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabmyEayaafy % aafaGaeyypa0JaeyOeI0YaaSaaaeaadaqadaqaamaakaaabaGaaGOm % aiaadIhacqGHRaWkcaaI1aaaleqaaaGccaGLOaGaayzkaaWaaWbaaS % qabeaakiadacUHYaIOaaaabaGaaGOmaiaadIhacqGHRaWkcaaI1aaa % aiabg2da9iabgkHiTmaalaaabaWaaSaaaeaacaaIYaaabaGaaGOmam % aakaaabaGaaGOmaiaadIhacqGHRaWkcaaI1aaaleqaaaaaaOqaaiaa % ikdacaWG4bGaey4kaSIaaGynaaaacqGH9aqpcqGHsisldaWcaaqaai % aaigdaaeaadaqadaqaaiaaikdacaWG4bGaey4kaSIaaGynaaGaayjk % aiaawMcaamaakaaabaGaaGOmaiaadIhacqGHRaWkcaaI1aaaleqaaa % aaaaa!5A07! y'' = - \frac{{{{\left( {\sqrt {2x + 5} } \right)}^\prime }}}{{2x + 5}} = - \frac{{\frac{2}{{2\sqrt {2x + 5} }}}}{{2x + 5}} = - \frac{1}{{\left( {2x + 5} \right)\sqrt {2x + 5} }}\)