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Консультация № 109346
Обсуждение
Неизвестный
14.11.2007, 11:00
общий
это ответ
Здравствуйте, Zaksurgut!
y=arcsin(2x)/(1+x<sup>2</sup>)
y‘ = (arcsin(2x)/(1+x<sup>2</sup>))‘ = (arcsin(2x)‘*(1+x<sup>2</sup>) - arcsin(2x)*(1+x<sup>2</sup>)‘)/(1+x<sup>2</sup>)<sup>2</sup> =
= (2x/√(1-4x<sup>2</sup>))*(1+x<sup>2</sup>)/(1+x<sup>2</sup>)<sup>2</sup> - 2x*arcsin(2x)/(1+x<sup>2</sup>)<sup>2</sup> = 2x/(√(1-4x<sup>2</sup>)*(1+x<sup>2</sup>)) - 2x*arcsin(2x)/(1+x<sup>2</sup>)<sup>2</sup>
Good Luck!!!
y=arcsin(2x)/(1+x<sup>2</sup>)
y‘ = (arcsin(2x)/(1+x<sup>2</sup>))‘ = (arcsin(2x)‘*(1+x<sup>2</sup>) - arcsin(2x)*(1+x<sup>2</sup>)‘)/(1+x<sup>2</sup>)<sup>2</sup> =
= (2x/√(1-4x<sup>2</sup>))*(1+x<sup>2</sup>)/(1+x<sup>2</sup>)<sup>2</sup> - 2x*arcsin(2x)/(1+x<sup>2</sup>)<sup>2</sup> = 2x/(√(1-4x<sup>2</sup>)*(1+x<sup>2</sup>)) - 2x*arcsin(2x)/(1+x<sup>2</sup>)<sup>2</sup>
Good Luck!!!
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