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What's Wrong With My Answer?by moe darklight
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#1
Dec108, 11:19 AM

P: 411

1. The problem statement, all variables and given/known data
y = (3x)^x (find y' ) 2. Relevant equations y = a^x y' = (a^x)(ln(a)) and the chain rule 3. The attempt at a solution 3((3x)^x)(ln(3x)) 


#2
Dec108, 11:31 AM

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P: 6,202

Take ln of both sides of the equation
lny=x*ln(3x) Now use implicit differentiation 


#3
Dec108, 11:34 AM

P: 411

yes, that was the answer that was provided; but I don't understand why my answer is incorrect, given the fact that the derivative of a^x is (a^x)(lin(a)) and the formula seems to be of that form.



#4
Dec108, 11:36 AM

HW Helper
P: 6,202

What's Wrong With My Answer?
I believe for that equation to work 'a' must be a constant.



#5
Dec108, 11:51 AM

P: 411

O, thanks.



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