Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>Find <span class="math-inline">\(\lambda\)</span> for <span class="math-inline">\(f''(0)\)</span> to exist.</p>
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>f'(0)=0. From f'(x)/x: LHD gives 10, RHD gives 2λ. Need 2λ=10 ⟹ λ=5. <strong>Answer: 5</strong></p><div class="key-concept"><strong>Key Concept:</strong> f''(0) via f'(x)/x limit from both sides</div></div>
Correct Answer: 5