Derivative

Question

What is the derivative of the following function at x=0?

F(x)= x ^(1/3)

Answer 1

F(x)=(x)^1/3

dF(x)/dx=d((x)^1/3)/dx =1/3*(x)^-2/3

put x=0 so we get derivative as undefined

Comments

at x = 0 , f'(x) is undefined... 0^-2/3 is not zero..

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sorry ..my mistake