Application of Derivatives 4 Question 21

####22. If f(x)=|x|, for 0<|x|≤21, for x=0. Then, at x=0,f has

(a) a local maximum

(b) no local maximum

(c) a local minimum

(d) no extremum

(2000,1M)

Show Answer

Answer:

Correct Answer: 22. (b)

Solution:

  1. It is clear from figure that at x=0,f(x) is not continuous.

Here, f(0)> RHL at x=0 and f(0)> LHL at x=0

So, local maximum at x=0.

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