- #1

- 5

- 0

(tan x) / (1 + ³√x) ; for x ≥ 0,

sin x ; for (-π/2) ≤ x < 0,

x + (π/2) ; for x < -π/2

_

For -π/2 I would say it is not differentiable since both π and 2 are constants and you can not vary a constant.

For 0, I would derivate it by using the first function - (tan x) / (1 + ³√x) - and just replace x for 0. It gives me 0 as result. If x ≠ 0, the result could also be ≠ 0.

From here I can't go further...