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Category: Differentiation

Question-140294

Question Number 140294 by solihin last updated on 06/May/21 Answered by Satyendra last updated on 06/May/21 $$\left.{c}\right)\:\mathrm{sin}^{−\mathrm{1}} {y}^{\mathrm{2}} =\mathrm{sin}{h}\left({xy}\right) \\ $$$$\Rightarrow\frac{\mathrm{2}{y}}{\:\sqrt{\mathrm{1}−{y}^{\mathrm{4}} }}\:{y}'=\mathrm{cos}{h}\left({xy}\right) \left({y}+{xy}'\right) \\ $$$$\Rightarrow\frac{\mathrm{2}{y}}{\:\sqrt{\mathrm{1}−{y}^{\mathrm{4}}…

Find-the-point-s-on-the-graph-of-3x-2-10xy-3y-2-9-closest-to-the-origin-

Question Number 140288 by liberty last updated on 06/May/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{point}\left(\mathrm{s}\right)\:\mathrm{on}\:\mathrm{the}\:\mathrm{graph} \\ $$$$\mathrm{of}\:\mathrm{3x}^{\mathrm{2}} +\mathrm{10xy}+\mathrm{3y}^{\mathrm{2}} =\mathrm{9}\:\mathrm{closest}\:\mathrm{to} \\ $$$$\mathrm{the}\:\mathrm{origin} \\ $$ Answered by mr W last updated on…

If-x-3-2-y-4-2-25-what-maximum-and-minimum-value-of-7x-8y-

Question Number 140270 by liberty last updated on 06/May/21 $$\mathrm{If}\:\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}} +\left(\mathrm{y}−\mathrm{4}\right)^{\mathrm{2}} \:=\:\mathrm{25}\:, \\ $$$$\mathrm{what}\:\mathrm{maximum}\:\mathrm{and}\:\mathrm{minimum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{7x}+\mathrm{8y}\:? \\ $$ Answered by EDWIN88 last updated on 06/May/21…

Prove-the-limit-sin-2-2-1-

Question Number 9086 by tawakalitu last updated on 17/Nov/16 $$\mathrm{Prove}\:\mathrm{the}\:\mathrm{limit}.,\:\:\:\frac{\mathrm{sin}\left(\theta/\mathrm{2}\right)}{\left(\theta/\mathrm{2}\right)}\:=\:\mathrm{1} \\ $$ Commented by 123456 last updated on 17/Nov/16 $$\underset{\theta\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}\:\theta/\mathrm{2}}{\theta/\mathrm{2}}=\underset{\alpha\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}\:\alpha}{\alpha} \\ $$$$\alpha=\theta/\mathrm{2} \\…