Category: Differentiation

Question Number 196691 by justenspi last updated on 29/Aug/23 $$$$Can someone recommend Calculus book , But I prefer if the book isn't boring…

Question Number 196408 by Erico last updated on 24/Aug/23 $$\mathrm{Calcul}{\underset{0}{\int }}^{+\mathrm{\infty }}\frac{\mathrm{lnt}}{\sqrt{\mathrm{t}}(1+{\mathrm{t}}^2)}\mathrm{dt}$$ Answered by qaz last updated on 24/Aug/23 $$\int_{\mathrm{0}} ^{\infty} \frac{{lnt}}{\:\sqrt{{t}}\left(\mathrm{1}+{t}^{\mathrm{2}}…

Question Number 196209 by mnjuly1970 last updated on 19/Aug/23 $$$$$$\mathrm{\Omega }={\int }_0^1\frac{{(x-1)}^2}{{\ln }^2\left(x\right)}dx=?$$$$----$$ Answered by Mathspace last updated…

Question Number 195885 by cortano12 last updated on 12/Aug/23 $$\frac{\mathrm{dy}}{\mathrm{dx}}+\sqrt{\frac{1-{\mathrm{y}}^2}{1-{\mathrm{x}}^2}}=0$$ Answered by mokys last updated on 12/Aug/23 $$\frac{{dy}}{\:\sqrt{\mathrm{1}−{y}^{\mathrm{2}} }}\:+\:\frac{{dx}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}\:=\:{d}\left(\mathrm{0}\right) \…

Question Number 195180 by mustafazaheen last updated on 26/Jul/23 $$$$$$1.\mathrm{f}\left(\mathrm{x}\right)=\{\begin{array}{l}\mathrm{sinx},\frac{\pi }{2}<\mathrm{x}⩽2\pi \\ \mathrm{cosx},0⩽\mathrm{x}⩽\frac{\pi }{2}\end{array}$$$$\mathrm{then}\mathrm{find}\mathrm{the}{\mathrm{f}}^{{}^{\prime }}\left(\frac{\pi }{2}\right)=?$$$$2.\mathrm{f}\left(\mathrm{x}\right)=\{\begin{array}{l}\mathrm{sinx},\frac{\pi }{2}<\mathrm{x}⩽2\pi \\ \mathrm{cosx},0⩽\mathrm{x}⩽\frac{\pi }{2}\end{array}$$$$\mathrm{then}\mathrm{find}\mathrm{the}{\mathrm{f}}^{\prime }\left(2\pi \right)=?$$$$$$ Answered by…