Category: Relation and Functions

Question Number 136693 by liberty last updated on 25/Mar/21 Commented by Olaf last updated on 25/Mar/21 $$f\left(x\right)={mx}^3+5x^2+kx-18$$$$=(6-x-x^2)(-mx-3)$$$$=\left({x}^{\mathrm{2}} +{x}−\mathrm{6}\right)\left({mx}+\mathrm{3}\right)…

Question Number 136598 by I want to learn more last updated on 23/Mar/21 Answered by Olaf last updated on 23/Mar/21 $$f\left(x\right)=x^2-x-2$$$${f}\left(−\mathrm{2}\right)\:=\:\mathrm{4} \…

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\}…