Let f(x) be a function satisfying |f(x)| ≤ x^2 for -1 ≤ x ≤ 1, how do you show that f is differentiable at x = 0 and find f’(0)?
1 Answer
Apr 20, 2018
The derivative exists and is zero.
Explanation:
Since
Now
Thus
Hence
Hence the derivative at