Continuity and DifferentiabilityHard

Question

If f(x) = |log10x| then at x = 1

Options

A.f is not continuous
B.f is continuous but not differentiable
C.f is differentiable
D.the derivative is 1

Solution

f(x) = | log10x | then at x = 1
graph of y = logax       
 y = logax            
so      y = log10x      
y = | log10x|=         
So it is continuous but not differentiable at x = 1 (∴  It is point of Sharpe edge)

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