Let f (x) = Let S be the set of points in the interval (– 4, 4) at which f is not differentiable. Then S

Engineering

Mathematics

Concept of Derivative

Question

Let f (x) = ${\begin{matrix} \max {| x |, x^{2}}, & | x | \leq 2 \\ 8 - 2 | x |, & 2 < | x | \leq 4 \end{matrix}$

Let S be the set of points in the interval (– 4, 4) at which f is not differentiable. Then S

equals {– 2, 2}

equal {– 2, – 1, 0, 1, 2}

is an empty set

equal {– 2, – 1, 1, 2}

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$f (x) = {\begin{matrix} x & 0 \leq x < 1 \\ x^{2} & 1 \leq x \leq 2 \\ - x & - 1 \leq x < 0 \\ x^{2} & - 2 \leq x < - 1 \\ 8 - 2 x & 2 < x \leq 4 \\ 8 + 2 x & - 4 \leq x < - 2 \end{matrix}$

f (x) is not differentiable at x = –2, – 1, 0, 1, 2