derivative: Let f(x)=exp(-1/x^2), for x different from zero and f(0)=0.

[fernado]

let f(x)=exp(-1/x^2), for x different from zero and f(0)=0. Show that f has derivative at zero and that f ' (0)=0. Anyone could help with this problem? thanks, fernando

 

[stapel]

Let f (x) = exp(-1/x²), for x different from zero, and f (0) = 0. Show that f has derivative at zero, and that f '(0) = 0.

Anyone could help with this problem? thanks, fernando

What are the conditions for a function having a derivative? (Also, have you learned rules for derivatives, or are you still using limit definitions?)

When you reply, please include a clear listing of your thoughts and efforts so far, as this will help us figure out where you are in your studies. Thank you!