Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>Non-differentiable points of <span class="math-inline">\(f(x)=|2x+1|-3|x+2|+|x^2+x-2|\)</span>:</p>
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>Critical: x=-1/2, x=-2, x=-2,1. At x=-2: combined effect cancels. Non-diff at x=-1/2 and x=1. Total=2. <strong>Answer: 2</strong></p><div class="key-concept"><strong>Key Concept:</strong> Count non-cancelled corners from each absolute value</div></div>
Correct Answer: 2