How do you differentiate #y=xsin(1/x)#?
1 Answer
Mar 5, 2018
This is a product rule + chain rule.
Explanation:
Because the inside of the sine function is something other than x, we have to do a chain rule.
So that I know what I'm doing and why, I'm going to do the chain rule first and then show how it fits into the product rule.
The derivative of
Next we'll do the product rule and put the derivative of
Now all that's left is to simplify to the final answer: