2/e^4x-2 гати производную

Question

2/e^4x-2 гати производную

Comments

2 в знаменателе?

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Да

Answer 1

(2/(e^4x-2))'=2[(e^4x-2)^(-1)]'=2(-1)(e^4x-2)^(-1-1)*e^4x*4=
=-8(e^4x-2)^(-2)*e^4x=-8(e^(4x))/(e^4x-2)²