Let f(x)=\ l|4 x²-8 x+5|, if 8 x²-6 x+1 0 [4 x²-8 x+5], if 8 x²-6 x+1<0,. where [α] denotes the greatest integer less than or equal to α. Then the number of points in R where f is not differentiable is _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jul, Morning shift · Q36

JEE Main 202225 Jul, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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<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 ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 25 Jul, Morning shift · Q36

JEE Main 202225 Jul, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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<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 ___________.

Your answerType your answer. Integers and decimals are accepted.