设函数f(x)=ax³-3x²(a∈R),且x=2是y=f(x)的极值点.求函数g(x)=e^x·f(x)的单调区间.
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![设函数f(x)=ax³-3x²(a∈R),且x=2是y=f(x)的极值点.求函数g(x)=e^x·f(x)的单调区间.](/uploads/image/z/1790989-61-9.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Dax%26%23179%3B-3x%26%23178%3B%28a%E2%88%88R%29%2C%E4%B8%94x%3D2%E6%98%AFy%3Df%28x%29%E7%9A%84%E6%9E%81%E5%80%BC%E7%82%B9.%E6%B1%82%E5%87%BD%E6%95%B0g%28x%29%3De%5Ex%C2%B7f%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4.)
设函数f(x)=ax³-3x²(a∈R),且x=2是y=f(x)的极值点.求函数g(x)=e^x·f(x)的单调区间.
设函数f(x)=ax³-3x²(a∈R),且x=2是y=f(x)的极值点.求函数g(x)=e^x·f(x)的单调区间.
设函数f(x)=ax³-3x²(a∈R),且x=2是y=f(x)的极值点.求函数g(x)=e^x·f(x)的单调区间.
单调递增区间:x>9/4
单调递减区间:x<9/4