Logarithmic differentiation trouble with bottom of fraction y=((2x+3)^9)/(sqrt x(x^2-x)^6)
Hunter Shah
Answered question
2022-10-22
Logarithmic differentiation trouble with bottom of fraction
I switched it to and then used the log rules for derivatives I know and the product rule on the right side and wound up with
The is the correct form but the rest is way off from the form my answer is supposed to be in. I'm not quite sure what else to do with it though...
Answer & Explanation
Cavalascamq
Beginner2022-10-23Added 21 answers
To solve for the derivative of , we'll be using logarithmic differentiation which, as you said, you were having trouble with. In taking the natural logarithm on both sides, we now have
We know the product logarithm rule, , so we'll use that on our second term in the RHS: