Category: Differentiation

Question Number 198953 by ArifinTanjung last updated on 26/Oct/23 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{3\mathrm{x}-5}{2\mathrm{x}+1}\to {\mathrm{f}}^{{}^{\prime }}\left(\mathrm{x}\right)=\dots .?$$ Answered by Rasheed.Sindhi last updated on 26/Oct/23 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{3\mathrm{x}-5}{2\mathrm{x}+1}\to {\mathrm{f}}^{{}^{\prime }}\left(\mathrm{x}\right)=\dots .?$$$$\left(\frac{{u}}{{v}}\right)^{'} =\frac{{v}\:{u}'−{u}\:{v}'}{{v}^{\mathrm{2}}…

Question Number 198688 by tri26112004 last updated on 23/Oct/23 $$y^{″}+\frac{2}{x}.y^{\prime }+y=0$$$$y=¿$$ Answered by witcher3 last updated on 23/Oct/23 $$\mathrm{xy}=\mathrm{z}$$$$\mathrm{xy}'+\mathrm{y}=\mathrm{z}' \…

Question Number 197664 by Christalin last updated on 25/Sep/23 Commented by a.lgnaoui last updated on 26/Sep/23 $$\mathrm{svp}\mathrm{envoyer}\mathrm{une}\mathrm{image}\mathrm{complete}$$$$\mathrm{de}\mathrm{l}\mathrm{exercice}.$$ Answered by a.lgnaoui last…

Question Number 197317 by universe last updated on 13/Sep/23 $$\mathrm{if}\mathrm{x}=\frac{\cos \theta }{\mathrm{u}},\mathrm{y}=\frac{\sin \theta }{\mathrm{u}}and\mathrm{z}=\mathrm{f}(\mathrm{x},\mathrm{y})$$$$\mathrm{then}\mathrm{show}\mathrm{that}$$$$\:\:\:\frac{\partial^{\mathrm{2}} \mathrm{z}}{\partial\mathrm{x}^{\mathrm{2}} }\:+\:\frac{\partial^{\mathrm{2}} \mathrm{z}}{\partial\mathrm{y}^{\mathrm{2}} }\:=\:\mathrm{u}^{\mathrm{4}} \:\frac{\partial^{\mathrm{2}} \mathrm{z}}{\partial\mathrm{u}^{\mathrm{2}} }\:+\:\mathrm{u}^{\mathrm{3}} \:\frac{\partial\mathrm{z}}{\partial\mathrm{u}}\:+\:\mathrm{u}^{\mathrm{4}} \:\frac{\partial^{\mathrm{2}} \mathrm{z}}{\partial\theta^{\mathrm{2}} }…

Question Number 197057 by ajfour last updated on 07/Sep/23 Commented by ajfour last updated on 07/Sep/23 $$Theanthastoclimbuptheplane$$$$andsurmountthewallofheightc,$$$$anddescendthenreachB.Findthe$$$$shortestlengthofpath.$$…