Ответ:
Пошаговое объяснение:
3 . Якщо tgх = 2/3 , то tg2x = 2tgx/ ( 1 - tg²x ) = 2* 2/3 / ( 1 - ( 2/3 )²) = 4/3 / ( 1 - 4/9 ) =
= 4/3 / 5/9 = 12/5 = 2,4 .
4 . y^( 18/5) / y^(3/5) = ( y¹⁸ : y³ )^( 1/5) = ( y¹⁵ )^ ( 1/5) = y³ . В - дь : 3 ) у³ .
5 . y = cosx/x = x⁻¹cosx ;
y' = ( x⁻¹cosx )' = ( x⁻¹ )'cosx + x⁻¹ *(cosx)' = - 1 * x⁻²cosx - x⁻¹sinx = ( - xsinx - cosx )/x².
В - дь : 1 ) .
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Ответ:
Пошаговое объяснение:
3 . Якщо tgх = 2/3 , то tg2x = 2tgx/ ( 1 - tg²x ) = 2* 2/3 / ( 1 - ( 2/3 )²) = 4/3 / ( 1 - 4/9 ) =
= 4/3 / 5/9 = 12/5 = 2,4 .
4 . y^( 18/5) / y^(3/5) = ( y¹⁸ : y³ )^( 1/5) = ( y¹⁵ )^ ( 1/5) = y³ . В - дь : 3 ) у³ .
5 . y = cosx/x = x⁻¹cosx ;
y' = ( x⁻¹cosx )' = ( x⁻¹ )'cosx + x⁻¹ *(cosx)' = - 1 * x⁻²cosx - x⁻¹sinx = ( - xsinx - cosx )/x².
В - дь : 1 ) .