Does the second derivative test fail for x(adsbygoogle = window.adsbygoogle || []).push({}); ^{3}at x=0:

f^{'}(x)=3x^{2}f^{''}(x)=6x ,

for x=0,

f^{'}(0)=0 & f^{''}(0)=+ve ,

so it should be a point of local maxima , but it is not!!!!!!!!!!

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# Second derivative test for x^3

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