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Write the derivative of f\ (x)=|x|^3 ...

Write the derivative of `f\ (x)=|x|^3` at `x=0` .

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Verified by Experts

Given that,
`f(x)=|x|^3`
Derivative at `x=0`
`f’(0)= lim_(x->0)(f(x)-f(0))/(x-0)`
`= lim_(x->0)(|x|^3-0)/(x-0)`
`=lim_(x->0)x^2`
`=0`
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