Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>Twice differentiable f. Find <span class="math-inline">\((k_1,k_2)\)</span>.</p>
<strong>(1/2,1)</strong>
(1,1)
(1/2,-1)
(1,0)
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>Continuity: k₂=1. f' continuity: 0=0 ✓. f'' continuity: 2k₁=k₂=1 ⟹ k₁=1/2. <strong>Answer: (1/2,1)</strong></p><div class="key-concept"><strong>Key Concept:</strong> Twice differentiable: match f, f', f'' at junction</div></div>
Correct Answer: 1