Give an example of a differentiable function on |R for which f′(0) = 0 but
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Give an example of a differentiable function on |R for which f′(0) = 0 but

[From: ] [author: ] [Date: 12-11-06] [Hit: ]
At x=o,f(0)=-sin0=0.......
0 is not a local maximum or minimum of f.

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f(x)=x^3

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x cubed

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F(x) = X^3

lim (0^3) = 0
X-->0

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Example is cos X.i.e if F(x)=cosX,AND F'(x)=-sinX.At x=o,f'(0)=-sin0=0.
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