SOLUTION: Use logarithmic differentiation to find the derivative of the function. y=x^−8/x y′=

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Question 1187768: Use logarithmic differentiation to find the derivative of the function.
y=x^−8/x
y′=

Found 2 solutions by greenestamps, AnlytcPhil:
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


Not clear....

Is it ?

Or is it

Or maybe even something different still....

Re-post
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
I think it was meant to be this:
Use logarithmic differentiation to find the derivative of the function.



The hard part is going to be the algebra of simplifying the derivative:



Taking natural logs of both sides:



Using a rule of logarithms:



Taking derivatives of both sides











Multiply both sides by y



Substitute 















Whew! (worn out!)  J
Edwin
  

 

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