JEE Mains · Maths · STD 12 - 5. continuity and differentiation
Let \(f: R \rightarrow R\) be a function defined by \(f(x)=\max \left\{x, x^{2}\right\} .\) Let \(S\) denote the set of all points in \(R ,\) where \(f\) is not differentiable. Then
- A \(\{0,1\}\)
- B \(\{0\}\)
- C \(\phi(\) an empty set \()\)
- D \(\{1\}\)
Answer & Solution
Correct Answer
(A) \(\{0,1\}\)
Step-by-step Solution
Detailed explanation
Non-differentiable at \(x=0,1\) \(S =\{0,1\}\)
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