Real Analysis | Differentiability of A Function - Definition & Examples

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f:D->R be a function D bounded f continuous and f (D) is bounded counter example

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f(x)=x^(3/2) is differentiable or not at zero?

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this function isnt defined at x

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I Have a Question (more like confirming),.......so, there are situation where c can be continuous but not differentiate, Then the only Situation I can Guess for Differentiable is to be true is ALWAYS a straight line(a Linear Function, No other Polynomial function), .........or do we have another example

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Is absolute value function |x^2+5| differenraible over R, please anyone help?

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x2+5 is always positive so we can remove mod and x2+5 is differentiable so the fn is diffirentiable

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