# 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