99 Percentile Qs Bank for JEE MainMathematicsContinuity and Differentiability

Let S = t R / f (x)=|x- | ( e ^ |x| -1 ) |x| . is not differentiable at t , then S is

Options

A(an empty set)
B0
C0,

Correct answer

A. (an empty set)

Step-by-step solution

Differentiability at x= : L.h.lim = _ h 0 | -h- | (e^ | -h| -1 ) | -h|-0 -h =0 R.h.lim = _ h 0 | +h- | (e^ | +h| -1 ) | +h|-0 h =0 Differentiability at x = 0 : L.h.lim = _ h 0 |- h - | ( e ^ |- h | -1 ) |- h |-0 - h =0 R.h.lim = _ h 0 |h- | (e^ |h| -1 ) |h|-0 h =0 The function f (x) is differentiable at x=0, . Set S is an empty set.

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