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Limits Continuity and Differentiability question

2022 · 29 Jul · Shift 2 · Q40

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 29 Jul · Shift 2 · Q40

Limits Continuity and Differentiability question

2022 · 29 Jul · Shift 2 · Q40

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

If

[t]

denotes the greatest integer

\leq t

, then the number of points, at which the function

f(x)=4|2 x+3|+9\left[x+\frac{1}{2}\right]-12[x+20]

is not differentiable in the open interval

(-20,20)

, is

\underline{\hspace{2cm}}

.

Numerical answer

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