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

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

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 = log_ax

y = log_ax

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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