已知函数F(X)=X2-4X-5,求当X属于[-3,0],[3,5],[1,4]的最值

问题描述:

已知函数F(X)=X2-4X-5,求当X属于[-3,0],[3,5],[1,4]的最值

F(x)=x^2-4x-5F'(x) = 2xF''(x) =2 (min)F'(x) = 0 => x=0F(0) = -5for x∈[-3,0]max F(x) = F(-3) = 9+12-5 =17min F(x0 = F(0) = -5for x∈[3,5]maxF(x) = F(5) = 25-20-5 = 0minF(x) = F(3) = 9-12-5 = -8for...