How do you differentiate #log_2(x^2sinx) #?
1 Answer
Explanation:
First, I would strongly suggest to use the logarithmic rules to simplify your expression.
Remember the logarithmic rules:
With these rules, you can simplify as follows:
Now, we know the derivative of
To transform the base of an logarithm, you can use the following rule:
In our case, it means that
holds. Thus, we can transform further:
Now, it's easy to differentiate the first part, and for the second part you just need the chain rule: