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1-F-x-x-3-x-F-0-F-1-2-F-x-x-x-F-5-2-where-floor-function-absolute-function-




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
$$\left(\mathrm{1}\right){F}\left({x}\right)=\:{x}^{\mathrm{3}} \:\left[\:{x}\:\right]\:\Rightarrow\begin{cases}{{F}\:'\left(\mathrm{0}\right)=?}\\{{F}\:'\left(\mathrm{1}\right)=?}\end{cases} \\ $$$$\:\left(\mathrm{2}\right)\:{F}\left({x}\right)=\:\left[\:{x}\:\right]−\mid{x}\mid\:\Rightarrow{F}\:'\left(−\frac{\mathrm{5}}{\mathrm{2}}\right)=? \\ $$$$\:{where}\:\left[\:\right]\::\:{floor}\:{function} \\ $$$$\:\mid\:\mid\:{absolute}\:{function}\: \\ $$

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