You have completely ignored the derivative of ln(x), treating it like a constant attached to 'y' on the left hand side.
I got this wrong on my test, my instructor did the work on the board and used a different approach than I did, I want to know what I did wrong in my approach that caused me to get the problem wrong.
Differentiate:
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My (flawed) approach:
differentiates to:
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The correct answer is:
and I can get it the instructor's way, but not my way, but I don't understand why my way failed me.
it seems so weird, but is it possible that
so we just need to apply chain, is that it?
to answer the original question, the easier way is to take the log or ln of both sides so that that
will go to the side of log or ln, then you can apply implicit differentiation.. Ü
indeed it is weird. besides, if x is negative, we'd have a problem.
we'd need to apply the product rule (implicitly).so we just need to apply chain, is that it?
i agreeto answer the original question, the easier way is to take the log or ln of both sides so that that
will go to the side of log or ln, then you can apply implicit differentiation.. Ü