f(x) = (x) / (1 + |x|)

Show from the definition that f: R -> R is differentiable at 0 and find the value of f'(0)

I have been trying to do it from first principles but keep getting no where.

Any help would be appreciated

Printable View

- Mar 12th 2013, 04:37 PMMatt1993Differentiationf(x) = (x) / (1 + |x|)

Show from the definition that f: R -> R is differentiable at 0 and find the value of f'(0)

I have been trying to do it from first principles but keep getting no where.

Any help would be appreciated

- Mar 14th 2013, 08:24 PMTheEmptySetRe: Differentiation
Note that

Using the limit definition. Taking the limit from the right gives

Taking the limit from the left