Home > Limits, Continuity & Differentiability > None > eddcc30b-6fba-4ef5-b7dc-cedb75b0a3af

Limits, Continuity & Differentiability

General

Grade None

Question:

<p><span class="math-inline">\(f(x)=\max\{x,x^2\}\)</span>. Non-diff set:</p>

{0,1}

{0}

empty

{1}

Step-by-Step Solution

Key Concept: General

<div class="solution"><p>x=x² at x=0,1. Non-diff: LHD≠RHD at both. S={0,1}. <strong>Answer: {0,1}</strong></p><div class="key-concept"><strong>Key Concept:</strong> max function: non-diff where curves intersect with different slopes</div></div>

Correct Answer: 1