Category: Relation and Functions

Question Number 70891 by Henri Boucatchou last updated on 09/Oct/19 $$\mathit{f}\left(\mathit{x}\right)=\mathit{x}(\mathit{x}-1)(\mathit{x}-2)\dots .(\mathit{x}-10)$$$$\mathit{f}{}^{\prime }\left(0\right)=?$$ Commented by kaivan.ahmadi last updated on 09/Oct/19 $$letg\left(x\right)=(x-1)(x-2)\dots (x-10)\Rightarrow f\left(x\right)=xg\left(x\right)$$$$\Rightarrow{f}'\left({x}\right)={g}\left({x}\right)+{xg}'\left({x}\right)\Rightarrow…

Question Number 136370 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{letf}\left(\mathrm{x}\right)={\mathrm{x}}^3\arctan \left(\frac{\pi }{\mathrm{x}}\right)$$$$1)\mathrm{calculate}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(\mathrm{x}\right)$$$$2)\mathrm{calculate}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(1\right)$$$$3)\mathrm{developp}\mathrm{f}\mathrm{at}\mathrm{integer}\mathrm{serie}$$ Answered by…

Question Number 5237 by sanusihammed last updated on 02/May/16 $$findthedomainandrangeof$$$$y=[{}_{4x^2+3x<2}^{3x-1x⩾2}$$ Answered by FilupSmith last updated on 02/May/16 $${Domain}\:=\:\left\{{x}:\:−\infty\leqslant{x}\leqslant\infty\right\}…

Question Number 5234 by sanusihammed last updated on 02/May/16 $$Showthatf\left(x\right)=x^2.\mid x\mid =odd$$ Answered by prakash jain last updated on 02/May/16 $$a.x⩾0$$$${f}\left({x}\right)={x}^{\mathrm{2}} \centerdot{x}={x}^{\mathrm{3}}…

Question Number 136270 by EDWIN88 last updated on 20/Mar/21 $$\mathrm{What}\mathrm{is}\mathrm{range}\mathrm{of}\mathrm{function}\mathrm{f}\left(\mathrm{x}\right)=(\mathrm{x}+1)(\mathrm{x}+2)(\mathrm{x}+3)(\mathrm{x}+4)+1$$$$\mathrm{where}\mathrm{x}\in [-1,1]$$ Answered by mr W last updated on 20/Mar/21 $${f}\left({x}\right)=\left({x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{4}\right)\left({x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{6}\right)+\mathrm{1}…