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Let f : R rarr R be a function defined b...

Let `f : R rarr R` be a function defined by `f(x) = max {x, x^(3)}`. The set of all points where f(x) is not differentiable, is

A

`{-1,1}`

B

`{-1,0}`

C

`{0,1}`

D

`{-1,0,1}`

Text Solution

Verified by Experts

The correct Answer is:
D
The continuous line shown in Fig. 4 represents the graph of f(x). It is evident from the graph that
`f(x)={{:(,x,x le -1),(,x^(3),-1lexlt0),(,x^(3),1lex):}`
Clearly, f(x) is not differenitable at x=`-1,0,1`
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