What is the first and second derivative of #(10x*(x-1)^4)/((x-2)^3*(x+1)^2) #?
As there are many power in this question and it is hard to differentiate this form, we can use the logarithmic differentiation to determine the derivative.
First, we know that
#ln(a*b)= ln a+ ln b# #ln(a/b)= ln a- ln b# #ln(a^n)= nln a#
We can let
It is more easy for us to differentiate this form now.
And we also know that
So, we can differentiate both sides to get the answer:
This is the answer for this question :)
Hope it can help you.