Question

Find whether the following function is differentiable at x = 1 and x = 2 or not. f(x) = {x, x < 1 and 2 - x, 1 ≤ x ≤ 2 and - 2 + 3x - x², x > 2 }

Answer 1

Given,

Differentiability at x = 1

So, f(x) is differntiable at x = 2

So, f(x) is differentiable at x = 1, but it differentiable at x = 2