Question Number 158805 by tounghoungko last updated on 09/Nov/21
![(1)F(x)= x^3 [ x ] ⇒ { ((F ′(0)=?)),((F ′(1)=?)) :} (2) F(x)= [ x ]−∣x∣ ⇒F ′(−(5/2))=? where [ ] : floor function ∣ ∣ absolute function](https://www.tinkutara.com/question/Q158805.png)
$$\left(\mathrm{1}\right){F}\left({x}\right)=\:{x}^{\mathrm{3}} \:\left[\:{x}\:\right]\:\Rightarrow\begin{cases}{{F}\:'\left(\mathrm{0}\right)=?}\\{{F}\:'\left(\mathrm{1}\right)=?}\end{cases} \\ $$$$\:\left(\mathrm{2}\right)\:{F}\left({x}\right)=\:\left[\:{x}\:\right]−\mid{x}\mid\:\Rightarrow{F}\:'\left(−\frac{\mathrm{5}}{\mathrm{2}}\right)=? \\ $$$$\:{where}\:\left[\:\right]\::\:{floor}\:{function} \\ $$$$\:\mid\:\mid\:{absolute}\:{function}\: \\ $$