Find the derivative using logarithmic differentiation?
3 Answers
Explanation:
Take the natural log of both sides.
Take the derivative of both sides.
Multiply both sides by
I'm not here to judge, but I noticed this is the second logarithmic differentiation problem I have answered for you. Perhaps, you should try to better understand logarithmic differentiation. It is actually quite simple.
Here is a helpful video if you are interested in learning more.
Explanation:
Pose:
Then:
and:
Given:
Use the natural logarithm on both sides:
Use the property of logarithms
Differentiate both sides:
The left side requires the use of the chain rule:
The right side requires the use of the product rule:
For the first term we use
For the second term we use
The second term simplifies:
Multiply both sides by y:
Substitute