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Mathematics · 2022

JEE Main · 29 July 2022, Shift 2 · Q26

If [t] denotes the greatest integer ≤ t, then the number of points, at which the function f(x)=4|2 x+3|+9[x+1/2]-12[x+20] is not differentiable in…

If $\displaystyle [t]$ denotes the greatest integer $\displaystyle \leq t$, then the number of points, at which the function $\displaystyle f(x)=4|2 x+3|+9\left[x+\frac{1}{2}\right]-12[x+20]$ is not differentiable in the open interval $\displaystyle (-20,20)$, is \_\_\_\_.
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