Автор - Yanakeks

найти производную sin^4 6x+cos^4 6x

Ответ

Автор - hlopushinairina
(sin⁴6x+cos⁴6x)¹=6·4·sin³6x·cos⁴6x+6·4·cos³6x·(-sin⁴6x)=
=24sin³6xcos⁴6x-24cos³6xsin⁴6x=24sin²6xcos²6x(cos²6x-sin²6x)=
=6sin²12xcos12x;

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