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Question

Which of the following functions is not differentiable in the domain [-1,1]?


A
f(x) = x2
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B
f(x) = x - 1
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C
f(x) = 2
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D
f(x) = maximum (x,-x)
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Solution

The correct option is D f(x) = maximum (x,-x)
Functions in options (a), (b) and (c) are ploynomail functions and hence differentiable
Let us verify option (d)
f(x) = maximum (x, -x)

f(x) = |x|={+x,x>0x,x<0

so LD (Left derivative) = -1

& RD (Right derivative) = +1

LDRD

The function is not differentiable at x = 0

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