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Continuity and Differentiability
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
The function $f(x) = |x|$ is: (a) Continuous everywhere but not differentiable at $x = 0$ (b) Differentiable everywhere (c) Discontinuous at $x = 0$ (d) Neither continuous nor differentiable at $x = 0$
Step-by-Step Solution
f(x)=|x| has sharp corner at x=0. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Selecting Continuous everywhere but not differentiable at $x = 0$: 1.0 Mark
Correct Answer:Continuous everywhere but not differentiable at $x = 0$
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