Derivative Problem involving Natural Log

  • Thread starter SMA83
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  • #1
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Homework Statement



Evaluate the derivative of the following function:

p(x) = (5x)-ln(5x)


Homework Equations



[tex]\frac{d}{dx}[/tex]lnx = [tex]\frac{1}{x}[/tex]
Not sure what else...


The Attempt at a Solution



I know that I will have to use the chain rule in this problem, but actually implementing it is giving me problems. I wish I could give more of an attempt, but I don't really even know where to start. Thanks in advance for the help!
 
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Answers and Replies

  • #2
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have you heard of the technique 'logarithmic differentiation'? it is where you take the log on both sides and then differentiate implicitly.
 
  • #3
vela
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You could also use the fact that ab is defined as eb log a.
 

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