JEE Advanced 2014 Mathematics question
Let f : ℝ → ℝ and g : ℝ → ℝ be respectively given by f(x) = |x| + 1 and . Define h : ℝ → ℝ by
h(x) =
The number of points at which h(x) is not differentiable is
Answer: 3
Solution
f and g meet where : x = −1, 0, 1. For x ≤ −1, , so ; for −1 ≤ x ≤ 0, ; for 0 < x ≤ 1, , so ; for x ≥ 1, h = x + 1.
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