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Vrill
@Vrill
August 2022
1
5
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Найдите производную y функций:
1)y=tg2^x
2)y=ln(3x-1/5)
3)y=корень из 1-e^x
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Answers & Comments
nafanya2014
Verified answer
1)y'=2tgx·(tgx)'=2tgx·(1/cos²x)=2sinx/cos³x;
2)y'=(1/(3x-1/5))·(3x-1/5)'=3/(3x-(1/5))=15/(15x-1);
3)y'=(1/2√(1-eˣ))·(1-e
ˣ)'=-e
ˣ/(2
√(1-eˣ)).
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Answers & Comments
Verified answer
1)y'=2tgx·(tgx)'=2tgx·(1/cos²x)=2sinx/cos³x;2)y'=(1/(3x-1/5))·(3x-1/5)'=3/(3x-(1/5))=15/(15x-1);
3)y'=(1/2√(1-eˣ))·(1-eˣ)'=-eˣ/(2√(1-eˣ)).