найдите производную функции
[tex]y = \sin ^{2} (x) \times \cos ^{2} (x) [/tex]
[tex]y = \sin ^{2} (x) \times \cos ^{2} (x) [/tex]
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Ответ:
Объяснение:
y=sin²xcos²x=(sinxcosx)²=((1/2)2sinxcosx)²=(0,5sin2x)²=0,25sin²2x
y'=(0,25sin²2x)'=0,25*2sin2x(sin2x)'=0,5sin2xcos2x(2x)'=0,5(sin2xcos2x)2=
=0,5*2sin2xcos2x=sin2xcos2x