Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>Differentiable at x=0 for which (a,b)?</p>
<strong>a=1,b=0</strong>
<strong>a=1,b=1</strong>
a=0,b=1
a=0,b=0
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>f'(0) always 0 via Taylor expansion. Both (A) a=1,b=0 and (B) a=1,b=1 work. <strong>Answer: (A),(B)</strong></p><div class="key-concept"><strong>Key Concept:</strong> Even functions differentiated at 0: derivative always exists</div></div>
Correct Answer: A,B