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Limits Continuity and Differentiability question

2022 · 25 Jul · Shift 1 · Q40

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 25 Jul · Shift 1 · Q40

Limits Continuity and Differentiability question

2022 · 25 Jul · Shift 1 · Q40

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Let

f(x)=\left\{\begin{array}{l}\left|4 x^{2}-8 x+5\right|, \text { if } 8 x^{2}-6 x+1 \geqslant 0 \\ {\left[4 x^{2}-8 x+5\right], \text { if } 8 x^{2}-6 x+1\lt 0,}\end{array}\right.

where

[\alpha]

denotes the greatest integer less than or equal to

\alpha

. Then the number of points in

\mathbf{R}

where

f

is not differentiable is

\underline{\hspace{2cm}}

.

Numerical answer

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