Cho hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyEaiabg2 % da9iaadAgadaqadaqaaiaadIhaaiaawIcacaGLPaaacqGH9aqpdaWc % aaqaaiGacogacaGGVbGaai4CaiaadIhaaeaacaaIXaGaey4kaSIaaG % OmaiGacohacaGGPbGaaiOBaiaadIhaaaaaaa!467D! y = f\left( x \right) = \frac{{\cos x}}{{1 + 2\sin x}}\). Chọn kết quả SAI
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Lời giải:
Báo sai\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzaiaacE % cadaqadaqaaiaadIhaaiaawIcacaGLPaaacqGH9aqpdaWcaaqaaiab % gkHiTiGacohacaGGPbGaaiOBaiaadIhacaGGUaWaaeWaaeaacaaIXa % Gaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaiaadIhaaiaawIcacaGL % PaaacqGHsislciGGJbGaai4BaiaacohacaWG4bGaaiOlaiaaikdaca % GGUaGaci4yaiaac+gacaGGZbGaamiEaaqaamaabmaabaGaaGymaiab % gUcaRiaaikdaciGGZbGaaiyAaiaac6gacaWG4baacaGLOaGaayzkaa % WaaWbaaSqabeaacaaIYaaaaaaakiabg2da9maalaaabaGaeyOeI0Ia % ci4CaiaacMgacaGGUbGaamiEaiabgkHiTiaaikdaaeaadaqadaqaai % aaigdacqGHRaWkcaaIYaGaci4CaiaacMgacaGGUbGaamiEaaGaayjk % aiaawMcaamaaCaaaleqabaGaaGOmaaaaaaaaaa!6BC9! f'\left( x \right) = \frac{{ - \sin x.\left( {1 + 2\sin x} \right) - \cos x.2.\cos x}}{{{{\left( {1 + 2\sin x} \right)}^2}}} = \frac{{ - \sin x - 2}}{{{{\left( {1 + 2\sin x} \right)}^2}}}\)
\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabmOzayaafa % WaaeWaaeaadaWcaaqaaiabec8aWbqaaiaaiAdaaaaacaGLOaGaayzk % aaGaeyypa0ZaaSaaaeaacqGHsislcaaI1aaabaGaaGioaaaacaGG7a % GabmOzayaafaWaaeWaaeaacaaIWaaacaGLOaGaayzkaaGaeyypa0Ja % eyOeI0IaaGOmaiaacUdaceWGMbGbauaadaqadaqaamaalaaabaGaeq % iWdahabaGaaGOmaaaaaiaawIcacaGLPaaacqGH9aqpdaWcaaqaaiab % gkHiTiaaigdaaeaacaaIZaaaaiaacUdaceWGMbGbauaadaqadaqaai % abec8aWbGaayjkaiaawMcaaiabg2da9iabgkHiTiaaikdaaaa!561B! f'\left( {\frac{\pi }{6}} \right) = \frac{{ - 5}}{8};f'\left( 0 \right) = - 2;f'\left( {\frac{\pi }{2}} \right) = \frac{{ - 1}}{3};f'\left( \pi \right) = - 2\)