Question

cho hàm số \(f\left(x\right)=2mx-mx^3\). tìm m để \(f'\left(1\right)\le1\)?

Answer 1

\(f'\left(x\right)=2m-3mx^2\Rightarrow f'\left(1\right)=2m-3m=-m\)

\(\Rightarrow-m\le1\Rightarrow m\ge-1\)