Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>Differentiable on ℝ. Find <span class="math-inline">\(48(a+b)\)</span>.</p>
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>Continuity: 1/2=4a+2b. Differentiability: -1/4=4a, so a=-1/16. Then b=3/8. 48(a+b)=48(-1/16+3/8)=48·5/16=15. <strong>Answer: 15</strong></p><div class="key-concept"><strong>Key Concept:</strong> Match f and f' at junction x=±2</div></div>
Correct Answer: 15