Hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyEaiabg2 % da9iGacohacaGGPbGaaiOBamaaCaaaleqabaGaaGOmaaaakiaadIha % caGGUaGaci4yaiaac+gacaGGZbGaamiEaaaa!4142! y = {\sin ^2}x.\cos x\)có đạo hàm là:
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Lời giải:
Báo sai\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyEaiaacE % cacqGH9aqpdaqadaqaaiGacohacaGGPbGaaiOBamaaCaaaleqabaGa % aGOmaaaakiaadIhaaiaawIcacaGLPaaacaGGNaGaaiOlaiGacogaca % GGVbGaai4CaiaadIhacqGHRaWkciGGZbGaaiyAaiaac6gadaahaaWc % beqaaiaaikdaaaGccaWG4bGaaiOlamaabmaabaGaci4yaiaac+gaca % GGZbGaamiEaaGaayjkaiaawMcaaiaacEcacqGH9aqpcaaIYaGaci4y % aiaac+gacaGGZbWaaWbaaSqabeaacaaIYaaaaOGaamiEaiGacohaca % GGPbGaaiOBaiaadIhacqGHsislciGGZbGaaiyAaiaac6gadaahaaWc % beqaaiaaiodaaaGccaWG4baaaa!6091! y' = \left( {{{\sin }^2}x} \right)'.\cos x + {\sin ^2}x.\left( {\cos x} \right)' = 2{\cos ^2}x\sin x - {\sin ^3}x\)
\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaCzcaiabg2 % da9iGacohacaGGPbGaaiOBaiaadIhadaqadaqaaiaaikdaciGGJbGa % ai4BaiaacohadaahaaWcbeqaaiaaikdaaaGccaWG4bGaeyOeI0Iaci % 4CaiaacMgacaGGUbWaaWbaaSqabeaacaaIYaaaaOGaamiEaaGaayjk % aiaawMcaaiabg2da9iGacohacaGGPbGaaiOBaiaadIhadaqadaqaai % aaiodaciGGJbGaai4BaiaacohadaahaaWcbeqaaiaaikdaaaGccaWG % 4bGaeyOeI0IaaGymaaGaayjkaiaawMcaaaaa!55BA! = \sin x\left( {2{{\cos }^2}x - {{\sin }^2}x} \right) = \sin x\left( {3{{\cos }^2}x - 1} \right)\)