Hi, I'm having a little problem understanding how to approach this, I guess very basic, calculus problem.

It says:

Use definition to determine if f ' (x) exist at x = a. ( Yes, there's an apostrophe after f.)

f(x) { xsin1/x when x doesn't equal 0

{ 0 x = 0

How should I approach and solve this problem? A solution would be nice. Thanks.

I just found the answer during the exam. So for those who are having the same problem, all you have to do is apply the very definition of derivatives. Which is Lim(h-->0) f(x+h) - f(x) / h , and you'll come to a conclusion that f'(0) doesn't exist after all.