Continuity and DifferentiabilityHard

Question

If f (x) = | x + 1 | ( | x | + | x - 1 | ) then at what points the function is/are not differentiable at in the interval [-2, 2]

Options

A.-1
B.0
C.1
D.1/2

Solution

f(x) =
f′(x) =
Function is not differentiable at x = -1, 0 and 1.

Create a free account to view solution

View Solution Free
Topic: Continuity and Differentiability·Practice all Continuity and Differentiability questions

More Continuity and Differentiability Questions

Let f(x) = 3 − | sin x|, then f(x) is-...Let ƒ(x) be a polynominal in x. Then the second order derivation of ƒ(ex), is -...f(x) = (sin-1x)2 . cos(1/x) if x ≠ 0; f(0) = 0, f(x) is :-...The derivative of even function is-...The derivative of x1/x equals-...