Hello, I have a real analysis question.

I need your help.

Thank you so much.

6) Where is the function f differentiable? And compute the derivative where it exists. f (2 ) = x sin x = 0 Where is the derivative continuous? Hint: Other than the theorems from the lecture notes, you will need to know standard facts about the trig functions sin and cos, for example, that sin' = cos, that these functions are continuous, bounded and periodic. Feel free to use any standard facts about sin and cos, such as what you can find on the Wikipedia page