Category: Relation and Functions

Question Number 36442 by abdo mathsup 649 cc last updated on 02/Jun/18 $$letf\left(x\right)=\sqrt{2+x^2}-x$$$$1)calculate{lim}_{x\to +\mathrm{\infty }}f\left(x\right)and{lim}_{x\to -\mathrm{\infty }}f\left(x\right)$$$$2)calculate{lim}_{x\to +\mathrm{\infty }}\frac{f\left(x\right)}{x}and{lim}_{x\to -\mathrm{\infty }}\frac{f\left(x\right)}{x}$$$$\left.\mathrm{3}\right)\:{calculate}\:{f}^{'} \left({x}\right)\:{and}\:{determine}\:{its}\:{sign}…

Question Number 36179 by prof Abdo imad last updated on 30/May/18 $$letf(x,y)=\frac{xy}{x+y}$$$$1)find{D}_f$$$$2)calculex\frac{\partial f}{\partial x}(x,y)+y\frac{\partial f}{\partial y}(x,y)intermsoff(x,y)$$ Commented by maxmathsup by imad last updated…

Question Number 101595 by mathmax by abdo last updated on 03/Jul/20 $$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)={\cos }^{\mathrm{n}}\mathrm{x}$$$$1)\mathrm{find}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(\mathrm{x}\right)\mathrm{and}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(0\right)$$$$2)\mathrm{developp}\mathrm{f}\mathrm{at}\mathrm{integr}\mathrm{serie}$$$$3)\mathrm{detemine}\int \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}$$ Answered by…

Question Number 35988 by abdo mathsup 649 cc last updated on 26/May/18 $$letf\left(x\right)=\frac{x+2}{x^3-4x+3}$$$$1)calculate{f}^{\left(n\right)}\left(x\right)$$$$2)developpfatintegrserie.$$ Commented by abdo mathsup…

Question Number 101500 by mathmax by abdo last updated on 03/Jul/20 $$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)=\mathrm{cosx}.\cos \left(2\mathrm{x}\right).\cos \left(3\mathrm{x}\right)$$$$1)\mathrm{calculate}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(\mathrm{x}\right)\mathrm{and}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(0\right)$$$$2)\mathrm{developp}\mathrm{f}\mathrm{at}\mathrm{integr}\mathrm{serie}$$$$3.\mathrm{calculate}{\int }_0^{\frac{\pi }{2}}\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}$$ Commented…