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JEE PYQ: Continuity And Differentiability Question 10

Question 10 - 2021 (25 Feb Shift 2)

A function $f$ is defined on $[-3, 3]$ as

$$f(x) = \begin{cases} \min{|x|, 2 - x^2}, & -2 \leq x \leq 2 \ [|x|], & 2 < |x| \leq 3 \end{cases}$$

where $[x]$ denotes the greatest integer $\leq x$. The number of points, where $f$ is not differentiable in $(-3, 3)$ is ______.

Show Answer

Answer: (5)


Learning Progress: Step 10 of 36 in this series