若函数f(x)=x³-mx²+2m²-5的单调递减区间是(-9,0)则实数m=______
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![若函数f(x)=x³-mx²+2m²-5的单调递减区间是(-9,0)则实数m=______](/uploads/image/z/4523222-38-2.jpg?t=%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%3Dx%26%23179%3B-mx%26%23178%3B%2B2m%26%23178%3B-5%E7%9A%84%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F%E5%8C%BA%E9%97%B4%E6%98%AF%28%EF%BC%8D9%2C0%29%E5%88%99%E5%AE%9E%E6%95%B0m%3D______)
若函数f(x)=x³-mx²+2m²-5的单调递减区间是(-9,0)则实数m=______
若函数f(x)=x³-mx²+2m²-5的单调递减区间是(-9,0)则实数m=______
若函数f(x)=x³-mx²+2m²-5的单调递减区间是(-9,0)则实数m=______
求导 f'(x)=3x^2-2mx=0
x=0或 x=2m/3
单调递减区间是(-9,0)
所以2m/3 =-9
m=-13.5
-27/2
-27/2