Unsure how to treat y in this derivative/log problem Need to find the derivative of h(y)= ln(y^2 cos y) Treating it like a normal variable like an x isn't working for me, the way we used y's in earlier problems where you get a y' in there doesn't seem right, so I'm not quite sure here.

erwachsenc6 2022-10-27 Answered
Unsure how to treat y in this derivative/log problem
Need to find the derivative of h ( y ) = ln ( y 2 cos y )
Treating it like a normal variable like an x isn't working for me, the way we used y's in earlier problems where you get a y' in there doesn't seem right, so I'm not quite sure here.
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Answers (1)

Cagliusov8
Answered 2022-10-28 Author has 15 answers
If h ( y ) = ln ( y 2 cos y ) = 2 ln y + ln ( cos y ), then
h ( y ) = 2 y + sin y cos y = 2 y tan y
Stella is right. In this problem, y is an independent variable. You may have worked other problems where y was dependent on x, but this is not the case here.
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