Category: Differentiation

Question Number 144995 by liberty last updated on 01/Jul/21 $$\mathrm{Find}\mathrm{the}\mathrm{maximum}\mathrm{distance}$$$$\mathrm{between}\mathrm{two}\mathrm{points}\mathrm{on}\mathrm{the}$$$$\mathrm{curve}\frac{{\mathrm{x}}^4}{{\mathrm{a}}^4}+\frac{{\mathrm{y}}^4}{{\mathrm{b}}^4}=1.$$ Answered by mr W last…

Question Number 79398 by ubaydulla last updated on 24/Jan/20 $$\frac{x^2-1}{x^2+1}dx$$ Commented by john santu last updated on 24/Jan/20 $$\int\:\frac{{x}^{\mathrm{2}} +\mathrm{1}−\mathrm{2}}{{x}^{\mathrm{2}} +\mathrm{1}}\:{dx}\:=\:\int\:\mathrm{1}\:{dx}−\int\frac{\mathrm{2}{dx}}{{x}^{\mathrm{2}}…

Question Number 13806 by ajfour last updated on 23/May/17 $$Provethatfor-\frac{\pi }{2}<x<\frac{\pi }{2},$$$$\frac{1}{1^3}\cos x-\frac{1}{3^3}\cos 3x+\frac{1}{5^3}\cos 5x-\dots .toinfinity$$$$=\frac{\pi }{8}(\frac{{\pi }^2}{4}-x^2).$$ Commented by prakash jain…

Question Number 144684 by mnjuly1970 last updated on 27/Jun/21 $$$$ Answered by mindispower last updated on 27/Jun/21 $$M:=xyz-(xy+yz+zx)+x+y+z-1$$$$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1xyz=xy+yz+zx$$$${M}={x}+{y}+{z}−\mathrm{1} \…

Question Number 79127 by ~blr237~ last updated on 22/Jan/20 $$Solveon\mathbb{R}\ast \mathbb{R}thefollowingsystem$$$$\{{}_{9^A+9^B+9^C=1}^{3^A+3^B+3^C=\sqrt{3}}$$ Commented by jagoll…