(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If f(x)=|log x|, then state whether the following are true or false :

a)y'(1+) =1/x

b)y'(1)=1

c)y'(0)= ∞ (infinity)

2. Relevant equations

|y| = y if y >=0

|y| = -y if y<0

3. The attempt at a solution

a)The first one is true because if x > 1, then y > 0 and | y | is y. So, y' = 1/x

b)If x=1, y=0 and so |y| = y . So y' =1/x = 1

c)If x=0, y is not defined ?

I am having trouble with b) and c) . I dont understand whether to check by putting values first (which would give all constant, and IMO is wrong) or later as I have done.

The answers are T,F,F

Any help is appreciated

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# Homework Help: Function Question

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