Category: Differentiation

Question Number 129084 by mnjuly1970 last updated on 12/Jan/21 $$\dots nicecalculus\dots$$$$provethat::$$$$\frac{2}{3}(\frac{1}{4}-\frac{1}{20}+\frac{1}{56}-\frac{1}{120}+\frac{1}{220}-\dots )$$$$\stackrel{???}{=}\pi -3$$ Answered by Dwaipayan Shikari last updated…

Question Number 129041 by oustmuchiya@gmail.com last updated on 12/Jan/21 $$Differentiate\mathit{f}\left(\mathit{x}\right)={({\mathit{x}}^2+4)}^3\left(6{\mathit{x}}^2\right)$$ Answered by bramlexs22 last updated on 12/Jan/21 $$\:\mathrm{f}\:'\left(\mathrm{x}\right)=\mathrm{12x}\left(\mathrm{x}^{\mathrm{2}} +\mathrm{4}\right)^{\mathrm{3}} +\mathrm{6x}\left(\mathrm{x}^{\mathrm{2}}…

Question Number 129034 by oustmuchiya@gmail.com last updated on 12/Jan/21 $$Differentiate\mathit{s}\mathit{i}\mathit{n}\mathit{y}-{\mathit{x}}^2{\mathit{y}}^3-\mathit{c}\mathit{o}\mathit{s}\mathit{x}=3\mathit{y}$$ Answered by MJS_new last updated on 12/Jan/21 $$\left(\mathrm{cos}\:{y}\:−\mathrm{3}{x}^{\mathrm{2}} {y}^{\mathrm{2}} \right){dy}+\left(−\mathrm{2}{xy}^{\mathrm{3}} +\mathrm{sin}\:{x}\right){dx}=\mathrm{3}{dy}…

Question Number 129028 by oustmuchiya@gmail.com last updated on 12/Jan/21 $$Findgradientofthecurvey=\frac{1}{x-1}$$ Commented by liberty last updated on 12/Jan/21 $$\mathrm{m}=-\frac{1}{{(\mathrm{x}-1)}^2}$$ Terms of…

Question Number 63378 by minh2001 last updated on 03/Jul/19 $$\underset{2}{\stackrel{x}{\int }}\frac{1}{x}dx=2ln\left(3\right)-ln\left(2\right)$$$$pleasehelpmetosolveforx$$ Answered by MJS last updated on 03/Jul/19 $$\mathrm{the}\:\mathrm{borders}\:\mathrm{must}\:\mathrm{be}\:\mathrm{independent}\:\mathrm{of}\:\mathrm{the}\:\mathrm{integral}\:\mathrm{variable} \…