Category: Differentiation

Question Number 91812 by niroj last updated on 03/May/20 $$\mathrm{Solve}{\mathrm{clairaut}}^{\prime }\mathrm{s}\mathrm{equation}\mathrm{and}\mathrm{find}$$$$\mathrm{general}\mathrm{and}\mathrm{singular}\mathrm{solution}:$$$$\left(\mathrm{i}\right)\mathrm{y}=\mathrm{px}+{\mathrm{p}}^{\mathrm{n}}$$$$\left(\mathrm{ii}\right)(\mathrm{y}+1)\mathrm{p}-{\mathrm{xp}}^2+2=0$$$$$$$$$$ Commented by…

Question Number 157247 by john_santu last updated on 21/Oct/21 $$F(x,y)=x^2-2xy+6y^2-12x+2y+45$$$$findx\mathrm{\&}ysuchthatF(x,y)minimum$$ Answered by FongXD last updated on 21/Oct/21 $$\mathrm{Given}:\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)=\mathrm{x}^{\mathrm{2}} −\mathrm{2xy}+\mathrm{6y}^{\mathrm{2}}…

Question Number 157169 by cortano last updated on 20/Oct/21 Answered by mr W last updated on 20/Oct/21 $$x=r\cos \theta$$$$y=r\sin \theta$$$${r}^{\mathrm{2}} \mathrm{cos}^{\mathrm{2}} \:\theta+\mathrm{2}{r}^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}}…

Question Number 26073 by gopikrishnan005@gmail.com last updated on 19/Dec/17 $$$$$$solvethedifferentialequation(D^2+2D+1)y=x^2+2x+1$$ Commented by gopikrishnan005@gmail.com last updated on 20/Dec/17 $${pls}\:{explain} \…

Question Number 91460 by  M±th+et+s last updated on 30/Apr/20 $$oneoftheconditionsoftheinflection$$$$pointisinflectiontangent.$$$$whatisinflectiontangent?$$ Answered by MJS last updated on 01/May/20 $$\mathrm{it}'\mathrm{s}\:\mathrm{the}\:\mathrm{tangent}\:\mathrm{in}\:\mathrm{the}\:\mathrm{inflection}\:\mathrm{point}\:\mathrm{which} \…