I was given this function:
And was asked to find for what $p, q>0$ it is differentiable at $x=0$.
First I saw it is continuous when $p>0, q>0$.
Now, I tried to see if the limit for $f'(x)$ exists at $x=0$. This function is even so I looked at the right side only.
I get that this limit exists when $p>1$, and for all $q>0$, but looking at the graph online it doesn't seem to be right. What am I doing wrong here (if anything)?
Thanks a lot!