# What is the first and second derivative of #(10x*(x-1)^4)/((x-2)^3*(x+1)^2) #?

##### 1 Answer

#### Explanation:

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

Then,

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.