Category: Differentiation

Question Number 113444 by Ar Brandon last updated on 13/Sep/20 $${\mathrm{y}}^{″}-{2\mathrm{ay}}^{\prime }+(1+{\mathrm{a}}^2)\mathrm{y}={\mathrm{te}}^{\mathrm{at}}+\mathrm{sint}$$ Answered by Ar Brandon last updated on 13/Sep/20 $$\mathrm{y}''−\mathrm{2ay}'+\left(\mathrm{1}+\mathrm{a}^{\mathrm{2}} \right)\mathrm{y}=\mathrm{te}^{\mathrm{at}}…

Question Number 113196 by bobhans last updated on 11/Sep/20 $$\mathrm{y}=\sinh {}^{-1}\left(\sin \mathrm{x}\right),\frac{\mathrm{dy}}{\mathrm{dx}}=?$$ Answered by MJS_new last updated on 11/Sep/20 $$(f{\left(g\left(x\right)\right)}^{\prime }=g^{\prime }\left(x\right)\times f^{\prime }\left(g\left(x\right)\right)$$$$\left(\mathrm{sinh}^{−\mathrm{1}} \:\mathrm{sin}\:{x}\right)'=\mathrm{cos}\:{x}\:×\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\mathrm{sin}^{\mathrm{2}} \:{x}}}…

Question Number 47559 by ajfour last updated on 11/Nov/18 Commented by ajfour last updated on 11/Nov/18 $$Q.47519\left(Solutionattempted\right)$$ Answered by ajfour last updated on…

Question Number 47519 by ajfour last updated on 11/Nov/18 Commented by ajfour last updated on 11/Nov/18 $$Findminimumareaof△ABC$$$$intermsofellipseparameters$$$$aandb.$$ Answered by…

Question Number 47425 by ajfour last updated on 09/Nov/18 Commented by ajfour last updated on 09/Nov/18 $$Findbifa=1and△ABChas$$$$minimumarea.$$ Answered by mr W…