The number of points at which the function f(x) = |x - 0.5| + |x - 1| + tan x does not have a derivative in the interval (0, 2), is
[MNR 1995]

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Solution

The correct option is C 3
Function f(x) = |x - 0.5| + |x - 1| + tan x does not have a derivative at the points x = 0.5, 1, $\frac{π}{2} ϵ (0, 2) .$

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Similar questions

f (x) = | x - 0.5 | + | x - 1 | + tan x

(0, 2)

f (x) = | x - 0.5 | + | x - 1 | + tan x

(0, 2)

f (x) = | x - 1 | + | cos x | + tan (x + \frac{π}{4})

(- 1, 2)

| x |

I = [- 2, 2]

f (x) = (x + 1) exp [(- 1) (\frac{1}{| x |} + \frac{1}{x})]

(x \neq 0)

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