SOLUTION: Determine the derivative of the following. 1.y= loga(x^3+2x-2) 2.y= ln^3(x+ sin x)

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Question 1193579: Determine the derivative of the following.
1.y= loga(x^3+2x-2)
2.y= ln^3(x+ sin x)
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
1.


First change the log base a to "ln" (which is log base e) by 
replacing "loga" by "ln" and dividing by ln(a).





Use the ln derivative formula: "(The derivative of what the "ln" is of)
divided by what the "ln" is of.





-------------------------------------------

2.


Write it so you can tell what's being raised to the 3rd power:



Use the power rule and the chain rule



Use the ln derivative formula: "(The derivative of what the "ln" is of)
divided by what the "ln" is of.



Simplify the appearance of the first factor by putting the 2
exponent immediately after the "ln"



Edwin
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