Ответ:
-120x²·sin³(7-5x³)·cos(7-5x³)
Пошаговое объяснение:
y'=(2sin⁴(7-5x³))'=8sin³(7-5x³)·(sin(7-5x³))'=8sin³(7-5x³)·
·cos(7-5x³)·(7-5x³)'=8sin³(7-5x)·cos(7-5x³)·(-5·3x²)=
=-8·5·3·sin³(7-5x³)·cos(7-5x³)·x²=-120x²·sin³(7-5x³)·cos(7-5X³)
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
Ответ:
-120x²·sin³(7-5x³)·cos(7-5x³)
Пошаговое объяснение:
y'=(2sin⁴(7-5x³))'=8sin³(7-5x³)·(sin(7-5x³))'=8sin³(7-5x³)·
·cos(7-5x³)·(7-5x³)'=8sin³(7-5x)·cos(7-5x³)·(-5·3x²)=
=-8·5·3·sin³(7-5x³)·cos(7-5x³)·x²=-120x²·sin³(7-5x³)·cos(7-5X³)