设函数f(x)=1/3x³+ax²+5x+6在区间[1,3]上单调递增,则实数a的取值范围是( )A.(-∞,-3] B.[-√5 ,√5] C.[-√5,+∞) D.(-∞,-3]∪[-√5,+∞) 网上的答案解析是:求出函数f(x)的导函数f′
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![设函数f(x)=1/3x³+ax²+5x+6在区间[1,3]上单调递增,则实数a的取值范围是( )A.(-∞,-3] B.[-√5 ,√5] C.[-√5,+∞) D.(-∞,-3]∪[-√5,+∞) 网上的答案解析是:求出函数f(x)的导函数f′](/uploads/image/z/3139050-66-0.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3D1%2F3x%26%23179%3B%2Bax%26%23178%3B%2B5x%2B6%E5%9C%A8%E5%8C%BA%E9%97%B4%5B1%2C3%5D%E4%B8%8A%E5%8D%95%E8%B0%83%E9%80%92%E5%A2%9E%2C%E5%88%99%E5%AE%9E%E6%95%B0a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%E6%98%AF%EF%BC%88+%EF%BC%89A%EF%BC%8E%EF%BC%88-%E2%88%9E%2C-3%5D+B%EF%BC%8E%5B-%E2%88%9A5+%2C%E2%88%9A5%5D+C%EF%BC%8E%5B-%E2%88%9A5%2C%2B%E2%88%9E%29+D%EF%BC%8E%EF%BC%88-%E2%88%9E%2C-3%5D%E2%88%AA%5B-%E2%88%9A5%2C%2B%E2%88%9E%29+%E7%BD%91%E4%B8%8A%E7%9A%84%E7%AD%94%E6%A1%88%E8%A7%A3%E6%9E%90%E6%98%AF%EF%BC%9A%E6%B1%82%E5%87%BA%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%E7%9A%84%E5%AF%BC%E5%87%BD%E6%95%B0f%E2%80%B2)
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