Question
Question: Let f:R →R be a function defined as f(x)= Min{ 1 +x, 1 + \|x\|} then which of the following is corre...
Let f:R →R be a function defined as f(x)= Min{ 1 +x, 1 + |x|} then which of the following is correct
A
f(x) ≥ 1 ∀ x∈R
B
f(x), at x = 1, is not differentiable
C
f(x), is differentiable for all x∈R
D
f(x) is not differentiable at x = 0
Answer
f(x), is differentiable for all x∈R
Explanation
Solution
Drawing the graph of f(x) = M in {1 + x, 1 + |x|}
Every where differentiable